-, .... ~.:~ ... .',: ;t" . '., ~ ., ~- -". . - ..... ARCHITECTURE/ART $39.95 VSA $51.99 CAN £22.99 UK " . ~.. ., '\.. : .. .... • ,:1 ---------, arcaElia John WHey & Sons, Inc. Professional, Reference and Trade Group Third Avenue, New York, N.Y. 10158-0012 Nc\\ York • Chichester • Weinheim Brisbaue • Singapore • Toronto ()()~ ISBN 0-471-28968-X IIII till libreria especializada enarquileclura AlC3nfon~s 295. tda.17. Mirallores. let 241·1347 WNW,arcadiaperu.com emai\: libreria@arcadiaperu.com 9 780471 289685 • 53995· ))I\ll"TIN(~ 1\. .eJl]~1\.'rI'Tl~ . J l)U()Cl~SS 1\ VNIlIlfH)K ••OIlN 'flU~Y Nt:w YORK & SONS, (~DI(;IlIlS'I'llll IN(~. "TllINDEIH IIIUSIIANE SIN(rAI-OIU! '.'OIlON'I'O This book is printed on acid-free paper. e Copyright © 1990 by John Wiley & Sons, Inc. All rights reserved. Published simultaneously in Canada. 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If professional advice or other expert assistance is required, the services of a competent professional person should be sought. Library of Congress Cataloging-in-Publicatlon Data: Ching, Francis D.K., 1943Drawing, a creative process. p. cm. Bibliography: p. 201 Includes index. ISBN 0-471-28968-X I. Drawing. I. Title. NC710.C66 1989 741.2-dc20 Printed in the United States of America 20 19 18 17 1)1~]~I~\(JJ~ Vr~wlng h~B ;la lon~ e.e>tZlI111~he..d role. In -lihe. vl~LJal ~ru" tne. rtcordl ng t7f event~ through hlt?tory, ;;antI the de,v~lorm~l1t c7f Ide,;a6 In oUt" clvd,t.;ab"lon. While. LJ~J)~lly thought of ;;311 ;acbvlty r~ulrlnq the. 5klll t7f the. t"lenteJ fe,w, drawmq It? a natural, ofte.n t?pontaneou6) human re~pon6e. People C?r all ;Jge~ 1116tll1ctlVe./y doo.dl~ While- e.nqaqetl 1t1 60111~ c?ther' actIVity. E=V~11 young c.hrldren who 5c.rl~!?Ie- WIth crayon6 ~nd marke-r6 C?n p3r.er or wall6 dr.aw IntuItIVely In :.an effort- 1:0 de%rl~e. what they Bee, to repre6e.nb what they know; ~t1d b e.xpre.66 now they fe~1. The. Inte.nt l7f tl116 l100k /6 to .de.6Grl!?e thlt? Vital prOc.~66 of drIJw1n'1 ae an :acCie66111Ie, enJoyabl~, prt1d ue-twe aC1;lvlby wh Ie-h} Jilt ,f;6 neArt) I~ ~ crGoatiVe rm;:lC~6. "if; DraWl ng 16 byplCJillly .de-f1 ne.d ae pmdLJGlng a Ilken&66 or repre6e.ntatron of ~ot11ethlt1g by mJilkln~ Iln~e; on ~ 6urface. fhe. Infere.nce I~ that delIneatIon 16 dlffere.nt from p;,lIntll1g and the color/ng c7f 6urface.e;. While drAwlt1.q 16 generally linear In nabure, It can Include obhe.r plI;:liorI31 e.lemcnt~ 6IJc.h a6 dote; and brLJ~h 61;rpkc~ Which can ~I~o b~ ~een ;:I';; Ilne~. Whatever' form a draWing takc~, It I~ fundamentallY a mean~ ~ VI~IOn and expre~~IOf1, on a oleIJI'" VI'?lon. It al~o thout3ht WhIch} In turn, build~ I)nder~f;andln~. Vr.awln~ cannot ~e debached from ,?t-c-Ing ;;!nd thlnkll1'3 ab17ut- th~ fund amental natIJre of the. 6LJbJect m:atter being reprc'?ented. fhe knowlcdge and LJnder"t.and I ng ~alned through draWing from lIfe. t:llre.tt"ly enh:ance.~ our al:1r1d;y t;o drIJw Prawlnq re..q,uit"'e~ rclre~ from the. Im.a~iI'1:atltm. can be puii Into word~, made v'~ll1le In a YI~LJal thinking JLJ~t a~ thoLJqht Ide.a~ can 11e. draWing to r.rc?mo1ie ;;Ind fl)r~her ~tlmLJ!ate 1ihe Im.,qln.a1;lon. Once wh:at It? ~eet1 or Imaqll1iJ 16 m.,de vI61111e It1 a drawll1q, the Image take6 on a lIfe of It~ oWn :and com mun IG:atc~ graphlcJlly. However e.loq.uen-/;~ or crudely, all draWrt1tj~ ~peak to ~he- e-ye.-. With wordl? and Ima'1f:-?} 1;11147 ~ook attempt~ -bo II/urI1lrratt- tnt- Irlte.rp/43Y Qf ~ee"t1g, vl~l.J.aIIZIt1q, and eXl1r~~~/nq throl.Jgh dr.awlng. Tne. work 1'7 orq~nlteti In ~ ~eqpenc~ wl1lc-h ~e~ln~ With untlel"?~;andlnq -bhe- proee~ti t'f VRAWING ~na the furpo~e~ for which If; e-;arr ~t:. U~f:-ti, The ~rN~ I~ ilhe dr.aw1nti el~mel1t which pl;ay~ .a erd/lt.al role. In t"he formatIOn ~ our perC&rt.fOI1~ ;;:I~ w&1I ~~ the- cot1?-f:;ruc-b/on of dr.awln~5, ~Ine~ de6>cr'be SHAPE:~} -bhe. p'lctQrlal form47 Whlvh e~t;at1II'?h them5elve~ a~ Im:aqe~ IrI our vl5u.a1 fie-Id, and by whIch we, organlu ;ilnd ,af:-nt,fy wh;at; we eee. 10 convey -bhe three' ~'rI1et1'?lon5 we e.xpe.rlence In realIty, we mu~ undu~t.3nd the te-chnlf{ue'? which &ffe.etwe!y cre;af;e, the ill Uf1/on of D~prH on ;;I two~d,men5Ion;a1 5 Lwf;ace, In dr;awln~ out the Ide.a5 or concept~ we:. ENVI~ION, we C3n mQre.- effectIVely de'?lgn .an.d flan for' wh.at dQe~ not- y~ eXl5t excejit; In the. mll1d}~ eye-, Ffn;allYl the 43vt of draWIng Iwelf It? ~ee-n ae Sf'ECULAiION, :a true de~lgt1 prOCe5€1 which h.a6> dl~-bIr1gLJI47h"1.g char;at:t/"rl~lce> com mon ~o any crea'!;IV& ~nd~.avor. The go~l I~ to rrOYld~ sn lliutlt;r;a-t;e:-a gUide for ~nyot1e In-be.re~{;;ed In lJ~In~ dt"/.lwm~ t3~ ;a tool for thought ~nd COmmlJt1Ic..:atrorJ, 1111t~ r.lJre~ form, drawln'3 I'? ;acc.om~"'?l1ea fre-t/H~nd, WIthout the- ;aId tlf t11ec.h~nlc~1 deVice? The emph~'?I~ I~ th"refor~ on fruh.:3M dr~wll1~ wlt.h i?lmrl~ t"ol~ a~ the ttlOfJ'li dlrec-t .:ana lI1'bul-blve w~y. to eXl1rt:~~ our vl~IJ.a1 -bhoLJ1ht~ t3ntl perc.eptlon~, JIJ~t ae we Ie-;arned to wrrte:., free-hand dr;;lw/ng '7killi? ~r" ;acquired :an.d d~velop~ ~J' dc?ln~. rhl~ require? not Jnt13-be t~lent nor tihe f;ancl~~t c1f tOOI~, b1lJt r.;;lt.h~r tIme., patIence, :and the wJl!lngnel?J~ to P/".3ctlc.e .:and rt:r5evere. Mo~ rm port.3n-b I~ LJt1der"?JtandIrl1 the- way p~rt=e.ptJ'{e. 5eelng ;and vlewa,1 thlt1kll1" ~re ~rougnt -bt'~e.ther ,n ilhe vre.atlVe.. prove~0 c:>f d"3"'ln~. f{,? I... 1)1\1~1~\(;)t 1 1)I~i·\"TJN(~ ~ I.JIN)~ "" -'I :i t) (j ,5 1)1\()(~J~~~ }\J~I) 1)1~()])lJ(JrJ1 rrlI]~ ]~SSJ~N(~J~ ,._ .. , 1) O}'" ])I~l\"7JN(i _. .Z 5 SIIl\P]~ rr}II~ J)J~I~INrrI()N()l~ 1~()lll"I ... "'" .... Ii1 1}]~I)rl'II rrlIJ1J furr Ofi' II.Jl,IJSION . " 91 J~N'TISI()NIN(x ])Ill\"TIN(i- I~I\()l\1 I~'L\(l-IN1~rI()N..... .l~7 SI)I~(~IJJ.Ji-~l'I()N ]}IL\"TIN(~l\1~J) el\I~\.1'I'TrrY 'In'! UIUI.J()(ill.L-\I'I-rr _ IN1)}]X _.. _ 201 20i) _ 7 ])l'j\."TIN(} 1)1\()(~]~SS l-\Nl) l)l,()])lJ(~rl' To draw le? -bo make rnarke on a eurface which grarhro.ally rerre~e.nt;. 1ihe- lIke-ne-~ of ~m~mg. 1h1~ proce;ee; t?f tran~vrll1ln~ Jma~e£7 Iq, a ~lmf'le7 jet po.we-rful human :3c,1; df VISU;;l/ e-xr.resblon. While- 1'1; IS frrmly root;eJ In our al:?/l/ty to 0eeJ drawIng oan n~we-r reore.ate- the- re.allty we ee-e,.; r/;;. c:an only m;ake- v/~lble. our re-rcert,one of t;h.at, oute.r realIty .;mJ the- Inne-r VI~Jon? ~ the. mlMd's eye. In -the- rrove.s~ of draw,n~h we- ore-.au a geraraf:.e- reallcy whIch r.aral/e-I~ our exrer,~nce~. ~uc.h t1r.-arh1v repre~ent.ailoneJ ~~..a vItal mesne of re.c.on:::Ilng our o~eerv.atlon?.7 ~lVlng form -to wh~t we vreualize, ~md comI11UI1/cat.lntj our i;hou~ht6 .;md c,oncert'on~, 9 At #7e h~ari tf all dr.;3wmg I<? an Inb~r.acblv~ F'roce~ ~ ~1t1g) V~lJ~":Zlng7 Ima1Je~. The ImagefJ we ~ gIVe- rr4f7e W ~Ur til%overy ti 1:;h~ world; the. Im3ge~ we vl~uallt~ e11al7/e U!I to thrnk In v/g,u;a/ term~ ;;and to under~t;lnd what;. we ~ee; the Image~ ;and exp".e05rng we tlr.aw allow ue ~ e.xrr~~9 and communlc;.;ate our thoughf;~ 3/1d rerc.eptlon e. VI~IO/1 I~ -the prImary 6en.;.ory vn.anneA through whlvn we make c;.ont:act wrth our external world. It 16 our boe6td&vell7feJ ~en6&, the furth~ re.achln~7 ;;and the- one we rely on themo~t for our day-to- d;lj ad~lvd~le~. Furtl1e-r; our ~il:1Ifl~Y to ~8& rroVlde~ U6 wl'th -the. raw ma!;e-rt;al for our rercertlon~ ;anti ultlmate1j for what we dr;HV. 10 The. VI~Utl! data re-celVeJ by the eye 16 rroce~!7ed7 rt1;ln Ipul ateJ, ;md fdt.ereJ l?y the mind 1/1 If;"~ actIVe search fl?r Sotructure limd me.an/ng, The mlnd'6 e"ye Cirea-te~ the Im:a~e'? we 58e, ~nJ these are the I m:age'.:! we at-tem pi to draw. Vr.aw1ng Iq; {;hereftJl"8 more than a m~nu;al c;kJ/I; It /6 a V16u.a1 tho~ht rroce~~ WhIch de.pe.ntJ6 on our .abd,'PY not only to eee but; 3160 to VI~u.allze, 1?ecomes r.;lr~ ef our In .drawing; we make mark? on a ~lJrface- In an ai/f;e-trIrP 1;0 ~rarhIC;3ILY A tdr.awn see 2nJ the. Inne-r Im;agery of -the mln~ 7$ e-ye, Vr.awln~ thutf? It? p vd:;~d meane of expree;?lon and ~ na-tur.al re0fo/1.:;e- to what we- eeo and VI!:1Uallze-. It Cire.ate~ a 7&Far3te" world i?F lma~e-~ whIch 0reak -/;0 1?/;mce bt? wh3t we know ;md r&rr~~t o()r rerc.e~/ot1 and under0-/;andlng of tHe.- outer r~i3llty we- the eye" I m.:lge, YI~ual world, ant! :;any rower 1'1; ha'f/ to exrres~ and to communlc;ate re/lee> on t?ur abilIty 1;0 see gra/1hlv reeern- Ire underst:anA, The. cl;;Jrrf;,y i7f d;~ m~s~;age. ant! -the ~lgnlflcance of l-b~ me.anln~ derenJ~ on our ""bdlby to IOt?k Into £'he. Imi3ge,? read It.~ ~trok&€I) .and d/0.ce.rn the. pattern and rel;at:lon~h'r? they ~.abll~h, 11 S]~]~IN(~ The ac-t tf ~eelng I~ a dynamic, ~nd creatIVe p'roce,~~, It I~ cafable tf delivering a ~~~~le7 -bhee-dlmen~lonal perce~tlon of the. mOVing, ch311glng ltr1jlge~ which make- up our v,~ual world, Thl~ ~Wlft; ~3I1d ~ophl~t/cated proc~~ll1g t7F Im.ag~ l1egln~ whe-n our eye,~ re.celVe energy Input In th~ form ~ V/6/l?/elIght - eIther I~ ~ource. or 1t6 refleotltm from drum/nated ~urfaces, ... ~~) <StlAL .. ::.~~ The 0rt,Cf/ c1f th~ e.ye fc1rm an upt&IJedown Im age c1f lt1com 111~ light raye. on the retina, a col/utlon of nerve cell~ Whlvh ~re an extensIon c1f the. braIn, iheq,e f'hoto~en6/tlV~ cellq, provIde a poJnf;-~y- rolnf; a~e~~me,nt; c1f the 1t1t.el1~/t:y of light. rece.lVed. Thl~ l/1put I~ further ~ro(,e~ed ~ dhe.r nervecellq, In the- re.tln;a ;md movee. down {.he, 0rt1c nerve to the vlf/ual cortex tf the. ~rall1, where ce"~ Bxtt'act 6PUlfl v fe.3iure~ c?f the YI~u~1 InrU1;~ -thel.~cJf;lon and orlentatlt'n t7f eJgB~) moveme.l1t, ~1'Ze, and (,(1101". On~ ;3 vet'~ 6m~11 ;;It-ea ff the- retIna I~ c3fable li'f JIt&t;,ngul~h,n1 fln~ .detail. Our eye€i mue>t there-fore. COI1f;/nu.all y ~"~11 an l7~ec;.t ;al1d It~ en vlt"on mt:-nf;. bt7 ~ee- It In ,re e-n~lretj When we IOdk :at ~omeA;hlng, wf13t: we eee I~ .actLJ.ally conetrLJc-£e0 from a rar,d 0UCCe%lon tf Inte.-rc.l7nne.cte.J Our vl0u.a1 tjY€it~m retJn~1 Im~'1e~, thU€i doeg ml7r~ th~n raq;q;lVe!y anti mech;anlc.31!y recl7rJ th~ phyq;lc.ar fe;atur~ vf a vlfi1u.a1 -nlmulue, It ;ac1;lVe1y tr..antjforrn~ !?atjlc ~e,n€ie­ Im~re€iglli'n~ of light; Il1to me;at1ln~ful ft""m~. It c.reate0 vl~u31 re.rc.e.rn-,on, I i.. LOOKTN6 fO~ mE: TIME OF DAY Wh:ai; W~ f;f:;f:; I~ '["1 If lV,'\lCHH.r~ F'OK.MOV1NG YlSHrCLES It.wge.ly InfltJenud by otJr mome.nt.ary need~# _ \ ~ 1..\ J~_--"'-~~ i \ _ _ _ _ . S}J]~IN(~ IS S]~JJ]~errI'TI~ w~ di7 not;. 0U" :all -tnat we :are. c;;lr~~le ~~Ir1g, Wf; u~u:i311y pe.re-&lVe t'ur worltl 2ccor2lng to prUOnC&IVe.tl natlt'n<e> t'f what we expec;t or be.lleve. to 11~ ou~ t?f- there., Thl-0e percepbu:al pre)tJdlce~ make c7ur life ~lm~le-r and ~.afer. We.d" have -ttl r.ay full .attent-/cm 1;0 each and every vleua! %Imul U~ ae If see-Ing It for the flr'~t 1;, me- e:avh day, In~tead) Wt- can ~elecf; out on!>, 1;h()~e whIch nu/; rrovl.de Informa.t/c7n pert/ne-n-/; to Clur mc7ment;ary nuJs, fnl~ expuht;lou~ kind tlf 0e&1 ng 1~3d~) ht/we-ver, f;o our c;.ommCln U:;8 of 1:al1el~, 0te.f'eoiYf1cal I magt-6, :an.d v/0ual cllch~c.;, ~/;'~ / /. '\' We 31/ dQ nt't l1ue~!?;ardy eee tne- 63m~ -bhln~. The pJ?ture In Qvr head I~ Ilmd:;e.,d i 17y our Intere5f;q, .and wh;at we knQw. Ther~ may well \?~ dlfferenb way'=' i7r p~rcelv,n1 the esme v,~u.al ~tlmLJI, according -/;0 the kInd t'f Infi7rma1;lt?n e3Gh pf U~ brln~~ ~ 1;he aot ~ q,et:-1n1' Our ~ l, I oultural e-nv/r'c7t1mt:nt :and ~e. vl~u;;l1 experlet1Ge~ tJf ~lJr I Ilfu/me- ~I~t? mtJd,fy our percert'tJnq, and te-30h U~ Itrt;erpret wh.at we eee: how ta I 1 • A bl7t~H1I~t, a 113In1;er, .and a flor,~t will each ~~e a bouq,ue~ of flowerq, 111 14 a dlffer~nt; II~ht. • Ger~:a In confrgLJr;ablOn6 of lmee ;lnd ~hapc~ can le;ad to 1311 ambrguou6 lnt;~prl-iatlon of form, a~ Jt1 the- • At ttm~6, what we. rerc'1ve- ~OC6 not ma~ch wh.at. .actLJ.;;llly eXI~~, a~ when .adpc.e.nt 6har~?, hUef,7 or -bonal vaILJ~? .affec-t each ot;hcr'~ rerc;c,lveJ q,uZllltlC,!:l. ca~e tJf cq,ulvoc.~1 flgLJre~. > < ® ~ Mihu:lt- LYSR,: A" ]; ~ @ VP6IDS - DOWN T Th~re. I~ /1171; Aalw~y~ ;a '?Jbr,,;t. corre?p,onde.nce, l'~we&l1 wh.at we~u- :anti wh~t we l1elle-ve- we eee. iheloc3/ environment of an t7~Jea, :3fJ wt-II ae It~ re/~-/;IPn5hlr W 17th!7/" t7!fJecl/;,€1 In 6race-, c:an Influe.nce. how we re-re-ewe. It6 v,~u.al char.acf;er,~tlc~ pf ~IU, fJhap~, JVPD: A== 13 @ fONZ,O: .A = B -In tih~ c:a~~ ~ ortlc;a/ ill LJ~IIlI1~7 cert;;aln conf'gur1Jt;lon~ t'f Jlne~ czn fool the. mfnd'~ ~ye Into ml6perceptiJIlt16 of I~nqtih, c,LJr'vpf;ure., ;md .d1r'~t;;lllni.. ctJ/tJr, and t~xwre., \'1SlJ.L-\.LIZIN(j. V~9Pll;e. IW Imre-rfectlon~ .. <5lght IS q;tll/ the mo~ Import;;mt 6e-n6e for ~ath~l"ln~ Informat,on ;l17out our world. In looking .at an oI?J~ct.. our VI61tJI1 ~I/ow~ U~ w reach out through '3p.ace. ;md -t/"'ace. It5 corn:.oure>7 %.3/1 d:b ~urf;3ce." f~1 d;~ te.xture, ZlI1J e.x~lor~ Its eI1Vlronme-nt, More- Imrc7r- bnt/y) VI~lon e.ng(;nd~~ the- VI~U~ thought that ~11 ;a~ee> LJ~ -/;-Q tr.al1~fortt1 mere. dl~c.overy jnto undt:tre>tAndlng. SEI~IN(. wrrn 'rD.~ itIINl)'S ]~\~~ V'6u;a/ ihou~ht 3l1ow~ U<!J ;:ln~lyz~J ~nd €>ynth~e>lze. to ;ab~t:.r.act, the Im.:l~e~ we. It I~ an ~~(;nt:I;a1 p;wt of pur We thinK In Im~~e~ when we- Jrlve. dpwn 3 ~troet. Ipoklng fC'r;311 3d.are;?~, 6e3/"'c-h fpr;3 ml~ln1 F'Ue. pfF,.apGor on a crowded denk1::0F' or '3~t :th~ t~l?l~ fc7r :J dlnn~r p3rty, In ,,;aoh tJf 6e&, e.v~rY~3Y llf~, th(;~e actlVd;'Je~J we .attemrt to matc.h Irn3ge.~ we. eeo with the- rm~~e? we:. hold In the mlnd7~ eJle.. We a/fJoth,nkll1 vl&ual te.l"m~ whel1 we. ar3w, the We do nc?t slmr/y draw wh:at we ~u. We ar3W c?ur pBre.e.ri'Pn~ t'f wh.at weh~ve. ~ee.n. In dr.awln~ wh~t Ig l?eftwe U5 we. gC~m conf;ourfl/ t7h.are~, :anJ eurfacee. In iurnrng our gaze. from .f;h,f.1 Image -tt' J i;he ar.awln'1 e>urfA~1 we mU6/;. hol&! th.at Im:a~e, In memory before maklM~ /t13rk"?J whIch repr~el1t th~ Im.age.. Afl we. to dr.aw" we c-ycle. t.hrolJ~h 3 of t5cat1n/ng -/;he, '2ul:ve.ct, holdIng rt5 ,m~~e In the- mind.. :and t!r.awlnq. ,he 1111:a~e~ we eee 111 re.alfty and {;he one.<;> we. cre3'f;e on P;3P~ art:t brought -toqe.tner It1 -the. Im131e.5 W& hC'/d In ~e. mII1d'& eye.. contInue, r.roc.e~~ • J ,:- ~.~/ I~ ~. "'~ ~ <;.~ ...- .---;.< :----.. _, 1_",:- 0.~ 'A '* drawing, th6refore7 haop aop to do with the ;acvuracy V'f our vl~IJ~1 The 1U31tby ;l mlJ~H percepblon~ ~nd memory as the- 6klll of {;he H::lt'1J In -/;;,....an~~rl!::"l1g an Ima~& oM-bo a ~urf:ace-, If we eee. clearly) we ;;lr~ better ;a/1I~ to retain ~md Imrlant. the. Im.age we are e~e-klng fwmly 111 our mind) and we ar6 f:,hu'!J ~ltle- w draw morec~nvlnclngly, A~;;l dr.awln~ emer~~ 011 farer, It re-ve.;al~ wh;at we- have h~ve- rercewed It;, drawl1 Im-age- f1e.vome'!J ;;;l ~e.p.ar3te.­ re;ald:;y with ;;l life (Jf It'!J own wnlch fee;.d~ ~.ack Into -bhe mind ;;u1d lfe.come6 part: of our VI~IJ;;l1 memory seen me :and how we So wh de- dr;lWI ng ~e.nef/f;,s frOl11 t?kd I In Yl6u:oal perce-p-tlon ;and thoughb) the- conver~& I~ ;;al~ -!;rue, In attempt/n'1 1;0 repres>e-nt the- I magee we eee, -theproce66 t7f draWIng 6tlmulate'5 pur ~eelng) exer~,,?~ our vieual rerce.r1:;1011) :and he1r<z> U~ overcome- "he. un~e&lng glal1c.e~ which we are .acwstomed to u61ng In our everyd~y lrvee, Ju~ ae 6Igl1/fIC"3I1t.ly.. drJwln~ enh3nc~ our ~17J1lty 1;0 ret31n vl~u~1 Im3'1e~ In memory, 17 ...... ".- l'y SNCDtJRA81IN~ AT'fE:NTTVE: ?SS1N~, DRAWING ~ErNFOR.CE:C;; V16VAL MEMOR,Y, o We u~e. ~hort-te.rm memory when drawing what we ~ee- before tJ~. /he- Image~ In our he..ad 7 how~ve-r; are- not IJmlte-a 1;0 wh2t we 9te. In the- fr~~ent, The mlnd'~ eye ha., unI1ue--3~",ty to tr.an~cend tIme ;and ~r;ace-, It c~n tr;anep~rt U~ to ~h(/r rlac~ ~nd rre~enc to u., Imaqe~ from -the- (1ao/t which w(/re t?noe- 5>~e-n and are now he-Id the only In me-mory, If we can rec.all 'nd p'rdJect the-:,e vl~u.a1 memt'rle-:, t1n~ arawlng ~l)r.f.3ce-) we- can .draw from refle-Co'borJ on pur FZlqC. e-xre.I"',e.nceB, a draw from memory, we- are. not gUided ~y -f;he o~lcal re..;allty we eeel?efore LJ~7 hout rather hoy -the- q,u311-cy t?f t.he 1tt14i/tge.s we h"ld In memory. L-ongterm m~mt7ry tend~ to :;f;rlp f/"om the. When we. remembered-Im~~e wh~t I'?J unneCe%3t'j for pur f7re:;ent need~. Or.awl ng from long- te-rm memory therefore t&nd~ 1:0 emr,h.aslz.e the e~e-nce- I1f -/;hlng~ :and what we how ~t?t'ut thW1 r.athe.r W3€l once ~een, 10 Imrrov'& me-mory .and e-nhance. our ~hoJlrf;y ~r!t~rrr fma~e-~ for 1~J;e-r rual/; we. l11ued; le;arn +.0 Gee atten·bveAy and rr.3vtlce drow,n~ what we eee, than what our VIGu.;a1 The mInd'., eye c.an ~Ie>o rre!7ent to ue Imi3~e., of;i3n Inn"r' reJlltj :and ena~b ~ to draw pr?'Je{/tlon~ of an ImagIned future... If W~ can rec...,1/ vl!7u.a1 memorle?, we can .,~8f:;r..:lct ;md Jnalyze -them, eee- bhem new In a w.ay~, new light, cotnb,ne. -/;'hem In a'f'rly the.m -to new 5IilJ.a1::lon~) ~nd ·br.an~form th~m Inw new ,de.a~. 1hut? we c;m .draw what c..annot yet j,~ seen except 01 the mI nd 1., eye) anA we.. can uee these draWl n~'? to simulate ;and comm un Icate- desI1M f06~1!?IIJtle.~ ftW the. ftJtur~, When dr.awln~ wh;at we enVISIon; we;are not 1ll11lte.d to -the, re-re?rev£1V& VIews of optIcal realIty. We ofcen dr.aw from In LJndere?t:anJln~ of wh;Jt we;. enV/€>IOM, whlc-h C:;;ln I?e- -e-)(p,.."s~eJ In <?ther WJys. In drJwlnq tJ1~e. vl~iJ:Jl,z;;3tlon~)' we. rroJ5ct -the ImageIn our head onto ine tlr..awlnq q,urr.aee.. As thl~ Image. drive€> our search on f'.af~ the e.mergIt1'1 draWlnq 6Imu(t;.aneou~ly tempers -/;he ltr1a1e. In our hea.::L Further thou~hts come. 1;0 mind :at'ld ;are Integr:at.e.d IMU> -the. procef;~ tJf v/~u311Z2-/;lon and draWIng. ]~XPI\]~SSIN(~ ,I I / 5HArr:: AND FO!'eM ;;:l line ie dr~wn) It e.XI~f;;5 .3~ ~ ~t.atlv e-It-me.nt, f,xed 111 <;;r<:l~e.., l1ut ~11e. k,m;..1;lc n;ilWre. Pf ,t.? c-rt-3tlon ct?n-clnues Onct~C7 reveal Itq,e-If to -the. t-ye. A lIne. not only de~vrd1e.e shaf.e- and i?1;I"'Uc.t.ure., ~u~ 3150 &X'rree>se~ th(;/ f'3~e.) rhythm, ;and c;ilJence- WIth whlvl1 It; W3~ dr~wn, I~ CI3t1 l1e bold or J81IC~f;e-, re c.:an 5We-1I or "ta/?u as Ib rt~~ .antl fall?; 11; can . 1'1nf;!y ie-x1;.ured 3~ ,f; a -//e-x-/::'ured t?urfac~, ~e dent;e or ~klr~ .3c.ro8~ We- can re..ad mto th&~e- 'tu.alrbte~ the- i?kdl of the- hanJ ~md -//he- Intent:. ~ the. /11 sker, 20 P----- rO~1vf AND SPACE: VF:N~JTY ANP TEX1t1R-E LIGHT AND MoveMENt AN'D PI1i::EcrroN" ~HADE The. vl~u21 cn~r~c1:ie-rl~-blv~ of a drawn I,ne. al~(J h:ave- !-he rower v+ l3uggel3t/on, rhe.y:afford .a JraWlng -bhe unlq.u~ 3~ll,.ty to eX'rres5 ce-rb.am fl,1J~lltl~ wd~h(Jut n.;avlng a -brue 61mdarlty tCi' the. 5Ul?Je.et d; df:t!5c,r, be 5, In de%rlblng form) a drawn Ill1e can akio &Xfre0€7 '1,ual/tle~ &f weIght} d~!5It.y) and ~LJrf;ac;e-, In de%rt~lng 5!,.aC.~). a line. can reve.al de-f,nltlon and 6c,al~' In dB%rd?lng I,~ht) ;3 /Ine- c..an re-fr~tt Inte-n~d:,y and d'Gfe-r~lon; In .deoorlt?ln~ move-me-nt, 6 line can der'of;, face and rhyihm. Thie I~ t-he fJreCI~1 charrrt t7f ~ free-h~t1d dr2wrn~ whIch .d1~tlnqlJt~ne~ 1'1;; from me-c.h~t1lcal drafbng anJ comrul;o-... qe.t1~ra1;ed Im~~e.~. It expre-~5e-6 :iln.d r~ve.al~ 1;0 -the. 6cetng eye~ In the ~,II9' of It~ Ilne~ an.d the- ut1.derl.Ytn~ ratte-rn Qf movement U0eJ to create rc, a vreua 1- 1;3 ob le. e.xpe.r Ience-, ihe POint of the. 1:;00/ 15 merelY :3t1 eX1;en~IOt1 of the hand that ~Ultl~ ,1;, and the mlt1d)~ eye thaf t1lre.et€7 11;.) In /11ovln~ 3cro~!:I a surface and delmeacln1 a unique and fer~on:al V/~lon, 21 fENClL. .... ,.. . s,,• • -q,t' MA~I<E:R. C~arcoa~_ Dr.ilWll1~ r~q,LJJre~ lIh~ ~Imple-% c?f ma1i~rJ tl 16 - ;a tool for m~kll1g m:arkl"; ;and :a ~LJrf21ce for ruelvlng -f:;11e. mark?, One C;il11 e:a~dy dr..aw ~ tdrag~/ng a i?t:/vk through the 6.i3r1A, or 1?y runl1lng a flt1~er tlc.ro~~ a fr.?~tetl wIndow pane. For a more durable. ImZlge, there I~ ;;3 Wlae. varIety of drawIng 1t1&trument6 3vaIlZlble:-. f;:;acn ha6 la characterl6tlc fee;/ In the h:antd, anA when tdralYn acro% a f..3r~l(;ultlr ~urface., eac.h I? c,..apakJlt/ Of maklnt1 mark~ WIth Cer"3lrl vl~u31 ~f1nabLJre~ WOQJ- c21~u1 pencrl~ 3t"e- In~Xf'er1~IVe, C3p3ble. of a var,uy I?f -e.cr'okeG, :and C.3n I?e u~eJ i;o l?/end .and ~h~Je. .a~ well. While. :a common N£2 rencll l~ certaInly ~ud;.al?le.. fo'" dr;awlng; -tne ~rafhlf;e In drawJn.~ r.enc."~ I~ t'f bette.r ~nd avarla!?l~ In 1ual,cy :a w,de-r ranqe t1f gr.ade6, frtJm gH (very h:arJ) throu~F1 F anti H~ (mtdILJm) to ~~ (very 5rit). ihe harder gr.a~e6 of le.aJ can ~ro.dlJce fine, lIght Irne6, wh de the 60fter leads can render' de.rJGe, dark {,ne.6 :and tone-5. For m~t freeh.and drawtn~" HB, ~, 3t1tl 2B ;are useful ~r.ade6, Meoh;;;lnlcal leAdhoJder€> ;are de~lgm:tl to hold IndiVidual lel1g~h? of lead which .are. .av.afl:able In a full range. t?f hardness :anA th,ckne66. The- tFlInner le.ad~ do ncrt req,ult"e 0h:arrenlt1~ as do the thicker lead0 !?ut they c-:an snap e.asl(y If :applIed WIth -too muc-h pressvl"e. C.ar!?on ;md ebony pencdq, h:ave. thrc-k? 60ft, hlack leaJe whoee:- l?old 6trPKe~ 4We. vondvolVe. 1;0 q.ulck, expre.~6IV& 6kef;c.hee. C;;ll"pent.e.r pencrl-;; 3~ ~Im"~ar but; wl'th the.1/" re.ct:JnguI3r I~~d~, t'ne can produc," a v.arte.'!<Y t'f €It./"oke- wldt.h~. ---------~ -------~ -----_ ...... • ,~ Pene. .are- c.arab(e, of protluclng fluid; op~q,u~> .and rerm~ne-nl:; I'nee.. There ;ar-c .;~ver.31 1;YP~-:' wh Ich Jre. q,u//;;;a1?1 e for dl"'~wln~, Felt, flb~r, or nylon -/;Ip marker~ come. In ~ variety I7f '8lzee; and tlpe;. rlne-- tiP marker6 G311 make '8h3rp, InCI<?lve liMe; whloh Ie.ad -et? fre.vl~e.) tJd:.arled draWIng!? B/",t?,ad-1;;Ip. marker€7 encoura~e­ bolde-r Itnt-:' and ?f,ulok vI6u;allzat;lon<s WIth t;he. om 1~€7ltm e7f dec.ad, Fountain fe-n~ have a smoother; fll"'l11er feel. A convenient car/:;rld1e~ ;;md C3n type- LJJ:;.dlze~ Ink ""cce-pot <3 v.arld:=yof Inr.erc..h.ange.3!?Je, nil:.?:;. wrIting I1d1~ h3V~ a fwm, roundeJ tIp' whlcn c;m move. e~5dy In ;all Jlrec/;:;It?/16>. Dr;lwlng P0lnt'8 h~we- rnot"e- flexlk?dd;;y ;;mJ thLJ~ c.3n prt?,duce. line!:; ?f V.3ryln~ thlcknet;,::; In re6f.lmee to the pr~.;ure t?n& "pp/It'S whtle. draWlI1~, -....::_-~,._.~ ~It~l F=-=-~~-----' 1f:CtiNICAL f'E:N' --L--~~~ .....-~(-1 __ , -- Y"u vvd I n.w~ bo dl~(,over for your~elf the fu-I and car.abi/rtIB<;> of e.3cn tool and IC~ su/t:aftd,.ty for your own purp0e.e<5, On!y through dtrec;t exre.rlmen-tatlon can you know for sure wh-;at wordG ;;md "Iu~~rat,on~ attempt to d~c,nbe, f:;xperlence le> the 1:1eq,t;, teac.her Since- th~ char~ct;.e-I"'I'5tlC; mark ~f eac.h t"ol Iq, tran'?formed !?y one,'~ 5e-t1Se of touch and the (?art/cular cadence of 0/1e 7S strol<i, mrough ~xper/menf:;Jtlon)you i7noul.d I7f co)o/"" penctl<;>, the. -to/1al v:Jlue.s tf c.h.,rc"al -sblcks; the fIne- texture t7f conte,' crayon 7 the dene>e) glt?~e.y lines of wax craj"ne.j the 60ft) gr.alny feel of p3sbe'/~. In;;l '6lmdar m~nner, workIng WIth wed;· metk3) you can dl'?cover the. precIsIon tJf technical draftll1g pen'? .and the fllJk:J? f21/1terly ~trt:'l<es t?f .a come to know the vnromatlc value~ brush dIpped In Ink, zt; (J()j\fl\IIJNI(1\:fIN(jIn cxpr~~e;Jng wh2'J;. we eeo t7r e-nVI51Im, .a dr..awlng ha~ the al1l1ltj tt7 rt1I1;;I~be ~ VI~u~t mt;.f;e)J1&, WhAt rt ct7mmunrc"af:;e5 will depe-nd t7t1 how W~.1 In the- nl1rm:a1 <lvob t+ vl~1J31 p~rceptll1f17 read t;:h~ dr3wln~}~ " 1II'1e5 :and Jnjje.rfret the underlYing p.2f;./;erl1~ t7f ~h;ape6 :imJ ~i;rLJc:ture... A dr.3wlng repre5e-nt€7 ~n.d communloates what we eee pr enYI~lon l1y C:i:3/1 Ing t/7 m InJ "an.alpg"u~ fO'rl11~ ft1:'m the Immediate- or d/0t,ant f361;. rhe. fot'f11~ It- deflot~ mu~t thereft.7re h.2v& a graphic ~/f11 i1arlf:;y or re~em ~IJiince t;11 what It re/?re6e-n£-5, b~,./:; an t.7bJe>vt. a p7/:ace.7 or.3 vieual Itle-:a, A Jr,awlng of 50me-/;hln~ 16 l1eve-r th,at thIng. It prt7duveg at !7e'E>t a structur.3/ egplValent, ni7C a mevh~nlc31 repm::luctlot1 at real,./;y, no f11"tter how real If; f11;ly €1eem, Whether Cl dr.awlnq referg to a ~reclffc. thing ar' 61mr1y W a ge-neral cla65 tf -/;hlt1gg c1efend6 t.7n cerb.aln visual ClUC6 wrllch 1;he. v/ewe-I" can ~1t3nlflc.3nt det.:ad50 7 me-at1ln~fLJJ cCJt1f:,ixt7 ;;l r~cCJgmt.a!?Ie­ r01nt cif Vle-W. under'E>t;and - f'OINT OF'VIEW t=~ __=~_:==~--=~-.::: -=------re?entrng \ ComI11LJnJc;a1;ln8 ~===~ I I TSeH NTQVC--- COMJltVNICA110W l...- I 1, aJ-_~__ll.LJLL__ -1-._ _-1 Wh~t. glVe~ a dr.aWlng meJr1tng I~ nl7t fllmr1y th~ tO~/c-. Its gr;;lrh1c ireatment; I~ ;al~o par/; "f -the messa'1~' Ht:'w ~ometnlt1~ J~ ~een, what. medIum I~ used to &xrre~s that. vl~,~n7 wh.at technI1l)~~ arc- ~trlf.'loJeJ tt'l crJ~t;alllze the Im;age} h"w that Im;3qe IS c;"mpo~eJ ;and Vle,wtid ,n c.ontext - all t?f the~e. .a~p'ects .qya!lfy our fc-rCi~~lon and uniJer~t.andlnq ~ what I~ drawn. i -------.-- - +- D~AwrN'G PVKrO~E?' 1] We make, Imrorta nt cnolce.6, therefore, In 6eJe.c;tlng a pOInt of VIew, u~lng a certain 11001 or mealum, .;;ll1a emploYing t3raphlc. technl~ue6. lhe~e chOIce.:;, 6hou!d ~e ~;;l~ed uJtlm;ately on ther.urpo~e of a dr.aWI t1t~" whether It I~ to repreflent what we see, tio Cu!blVJ{;e vl~uaJ thought, or 1;0 c-onvey Itlc-;a?, InformatIon and grafhl~ 7.7 Wrth re.pre.!:>entatlon.aj drtlNln6, we, ~eek ~ ace-urat~y rec.ord r~all/;;y. rn~ tlr~wJl1g what we ~U-In of -thlng~ we eeebefore U~, Inc./uJI111 the. c;:lt"'~flJl &O(,Jll1g df ~ ma~~r'~ wor/<.] h.a~ tradl'/;'l1n~iidly been flJn.dame-nt~1 -!:;r.alnlng for ~rbl~t6 3nd desI1nerf;. )n thl~ re~~e.ct, .draWJl1~ 16 not :';lImp!>' .a ~kdl but an e,~~~ntl.al .d1~vJt1llne wrllch 'k~,t1~ ~he eye, the.. mll1a, .and the hand In acc.ura/;~ e;~ln~, correct perc~rtfOt1) and -I;he m~klt1~ of 28 legd11e rerre~e-nt.atlot1~. Rel1re.'fJentatltmal dr.awll1g can .al~ ef'fectlvelY record our ol1:;ervatl,m~ for of:;her~ to see and ~tuJ.t The.re. are. nutr1eroU~ exam ple.~ of drZlwl ng,=, belng u~&d In l?oth ~he gClence~ and -the .arc? to "lu~f;rate, and clarify v'~tJal InformatIon from the wC1rld .around U&. iheE?& re-flee-t. nob ot1ly th~ ekil! pf {he. nand, I?ut .al~o the '8f,'eclflc. In-bere~t~, F,erceP!;IOl1g, and ul1d~r~1;andll1g of 1-he- d'l UgtrZltor. Unlike phocl7graphlc, €ot1~f6hot~) dr.awn illu'8tr.a-blol1g Ci.an be. t7electlve In their VIewpoInt. In dr~wll1g we n:ave the. UI1I'1,ue al7r1d;y -bo Igol.ak Inf"rm.at:lon from Irr~ll!:-v.al1t conbext .and to focu~ ~tte-n-bIQn t7t1 €ofU'lflC, feature~ or qUtlllt.le:b. WI'/;h an.a lytl cs I tHought and In~lgh-b7 we c.a11 c3~ure -f;ne. eS'5ence. ~ l&omethlt1g ;md d,I&1;lngull&n d:; from what It ,g not. We c~n ntltie. 6lgnlflc~mt det3111& and how t'h~y hI; Into an ov~rall p;;att~rn. • ·= !I _ i - ..... 111e .act tf .drJwJI1~ ;and the care.ful 0ee.ln~ I'b reqlJlre,~ C311 ;al~o e.nn.al1ce, our unde.r!?tJnJln~ ~ -tlhfn.g~. E'y draWing some-/:;hlt1~ out, we ",re. ~etf;8f'" a~le bo unde.rl7t:Jl1cf VI<7u:a1 conc8pt'7, underlYII1~ <7f;ruc;tur",1 p:attern s, sl1n Iflcant re 1:a1;/.:?nt7n I~~, 0chematlc. organization.;., and whati/ver eJe>e we. <Se£- except In the mInt-Pe> eye, cann.:?t DrawIng -;;I!f70 Imp'rpv~~ our v,~ual memo~y ~an.d a12~ In -th~ r-ec.:all t9f p3?t pe.rcep~lot1~. 1he f.roce-~~, .:?f futtlng our vle>u~1 p8rce.j?:CI<7n~ down on fape-r I~ave~ a map of our I mFre%,ot'l'5) Whlc.n G<a11 rem Ind us Clf how q,pmeihlng wa.;. eeen :and In-berfre:te.d. It Imrf"'~~<se.;. Im:a1e~ of wh;af;. W.3';' l11em"r;ak?I~ 011 our memory. • • • • • • • • • • • • • • • • Gt-udy for al1 ~111 m at;. I011 ~~e.nr;e A fVzz1.E RE6WrRIN6 A ['E:NCrt.., 'PAPER, AND Vr~lJAL THOUGHT: WIthout lifting your p~ncil from the. pape~ draw 51X f7!;r';3I,ght; 11 ne5 -th:at con ne-et a 1/ I~ dot5. vl~u~1 thinking pervade~ ;dl hum~n activity. We bh'nk In vl~ual urms when we. re:arr'Jl1ge-- the furl1lbure In a r.?pm, conbemp/ate a trli7ve- In -the- g:ame- tJf c.rle~~, or fl:an a t:ar triP on a VI~ual 1;hlnk/n~ I? the. e.!7~e-/11;lal mar. cpmr!e-men-b tp ver/?~I thought c.uli;./Vat,ng Jn~ Ight!?} ~eel ng Ptl~~II?" Ible~, making dl%OVeme~l and Imagining th~ umse1uence6 of our .ac.~I0I16. Tow.ard the~~ &nd~, .dr.awlng can gIVe form to In ~md c.l.arlfy our vI5ual ,!;houghts, 30 An aY'he,f;. ~tuJYlng v:arlt/u~ GOmpo~I1;ll7n5 2l paln-tlng, a choretlgr.3~her orohe5-bratlng a d:ance <oe-q,uenoe for bhe o//;a~e-l and ;an :arch Itect Int.egratlng thesy~tem!? tJf a l1uddlng - .all use draWing? In th/6 m;mner to express what tf1emlHd V'~LJ.allze6 a.nd 1;;0 explore ftl6~lbl~ future courses ~ action. ft/I" ThJ~ ~Yf(; tJf eXflor:abory dr;awlt'~ 10 part {;f the- c-re;at.IVe- proce.~s and often op~n- ~ndeJ, tt? find It can ~~ used ~ffectlV~1y one':; w;ay .a!?out -bhlngs :an.d to ~lmuIJte. and eXferlenc~ ce-rt31n trytlub<o ;;md atte.mr.ts. It; can make VI~ll1le thc7se rel;3f:;lon0hlf'~ whtc-h _ C;;lI1t101:; tJrd/r/;;lrdy be seen ~y the e"ye~LJi:; whIch ",re. cen-!; 1".3 I to in~ e%;aI?II~hment. t7f ~h;ilre, ~-/;ruc.ture:-, ftlrm, ;;lHd ... \ // .'t" .. tr . gJ ' ~ Ira d'~I".&lm? re;~m~~et'1tlng Id~a~ ;;;l~<?lJc. l?lolotglcal e:-vol U~IOI1. ~fu,... Gh;wl(/~ D.arwlI1) l/e~lgn ~f;.udy of dl~mOLJn-bal?le- hlnge6, c.I~OO Mte-I" L.eon;wdo ~VIt1,,1) I -' f1f,i ," r'. I t~ f;t7"/;h t-he prt7ce;'3J~ of d ra WI ng and thedrawn lm;age;q, -themselve-? C3n ?-blmulate the. Imagination, flJrbhe-r promote the. vlq,u;a) -f:;houghf; proce~~) and enc<?vrag~ :a me;taphorlc. way t7f thInking. Vrawlng I?ft~n allow£:; U5 to eee otl1er f;hln~~ In what we dr.aw, which can lead to <?thtw pO~'5I~dlble$. A C7erle~ t?f explor.atory draWing?, even t-hou~h done In ?e1.uel1ce., can be. ~een -rhe- ae.1re;e of fin I~h and bed1nI1LJe. for exploratory drawlng'5 V"'lr/e;~ wleh the. n:a:ture of the. fro~lem :and one.''5 IndIVIdual way CJf workll1~. fhee-e. drawm~~J howeve-r, ;we uoSolJally qUIck, Informal, and ofbe-n r.er~on~1. 'f1h'/~ not Intended for pu~llc d'~rlay) they C3n pr'ovlde. valual1le In~l~ht? 1111;0 an Indlv,.dual ~ crea-clVe, proce.ss, 'SIde- ~y ~Ide and u~&d 1;0 comp3r'e. alter/1atlve'5 .and ~et1erate. new ,de.as. 31 ~o --- &"p- -- -_ ..... ------ --~ ... -- _.. _- . ---_.- ------ "to .. _... -- ----_ .._.. - --- JI f3xternal Momel1'li I fl,,!;- ~r.3lt1 c'~ar bOtH"de;, Olm~n~IOI1 lum!>'er r:XAMne~ OF OIAGRAM? THAT ILLU0TRATE 1'~OCE$?, ~etAT10»~Hrp~, AND f'ATTERN"5 O'F' CHAl-1GE 11 HorIzontal 8hear' ))R.Al\lJN(; 1\8 eOl\fi\IIJNIel\:fION All dr.awlnq€> commul1lc;;l'te-. Rerr~e;.~nb­ rel1der Iikene€>'5e:? pf t:1,?n~1 tJr..awlng? tnln1'7 ft?r of;he~ bp €>e8 ;,md undew~l;at1d. ~xrlorJj;ory dr,;awlng~ gIVe: vl~I~le fprrn pne7€> ,dje.3? fdr pther~ ./;P cot1?ld~r. -liP std' other draWing~ a~ UgeJ &><pllc-d:;[y to k..al1smlb .a me?~a1& or -bo cpnve:y Inft?l"'m atlon. by nature InformatlPnrich. It WQuld I?e drff/cu)t to adeq,u2te)y de5cnbe with words what.3 .dr..awlng f~ able 110 commumc,ate ;Jt,;a ~Lanc:e. Any One. i?f the. more common f",rm6 ?f qr.3phle- communi C:6t'OI1 It? the. a,a~r.aI11-;;J t?lmpl/fleJ Jr.3wlng whlC-h can dlu~tr.af;~ a rroce,ss, a therefore h;;ave e-/arrty, be expire-It, ~md ubdlt& convent/ono? which Are. understood by bo'bh rre?e.n'ber and receiver. change. or grow-I:h. Diagram'? t?ften utilize '?ym/?olez, and ICOI1t? which mu~t; h;ave :a gr.arh1c q,uallr-y that; re-mind? us cf What;; they rerre.sent, Drawln~~ :are drawwrg u~ed to COmmUl1lcate mu~t get i?f of rela1;lont&hlp'~7 or a patte.rn r----------- - - - .. --- (/" I", j /\.L i ~, --_ ... _._ .. ----_ ... ([) I - ._._._----@ , ...-._-@ ! ~ ~-="",,~-4.• - _•.•. f ,l G) f ~---L~-~-" A 'SET - ••• _@ U==1:~~~~ OF" C:ON0TRtfCTJON PRAW!NG:5 Another -byre; t7f 1r.arh,v Ct7mmun IC.Ble> -bhe. preq,e;.n1;;at/t7n dr~w,n~, whIch t7ffer~ a de&lgn rrop'o~;al {:;o othe.rq, for th~1r' re.vlc-wan:d e-vallJ21t,ol1, 1t7 be. effe.vtlVe-, rre~t/I1t:atlon drawtnq~ i,tm ................(j) mU<?1; a~!11~t the- Im;3~lna'bon t7F ~he;.r~, accurat;.e.{y 61mulate .<.l r0<?q,lble- reald::y, and "ILJq,tr~f:e the, ct7n<7~ue-nc~ of flJ.j;ure ev~n-t~, Mure ubdd:;:arlan form'? of graphlv Ct7mmUnlcat,t7n Inc.llJde.. de.~lgn p'attern6 7 work, ng drawlng~) an.d 1;eohnlcal dlue>"brat/0I16, ihe5& are <7pec.lf/c q,eA:;? t7f vI<7ual In<?trLJctlon~ whIch gUide- othe;.r-;, In the conq,-f;ructl,m t7f 2 deq,lgn or -/;;he, 1;r.an~forma1:;IOYl t7f :an Idea In1:;/7 real//;;y, ,, ,, ,,, 1 1 1 1 1 r r r r r r r r r r r r 1 1 1 1 1 1 1 ,, ,, , ,,, ,,, 1 1 1 1 1 1 1 1 r r r r r r r r r r r 1 1 1 1 1 ,, 1 1 1 , 1 , 1 , 1 , , 1 1 ,1 ,I,I 1 1 1 1 1 1 1 1 1 I.jINI~ l'IIJ~ ]~SS]~N(J]~ ()l~ ])It:-\'''IN(; 1111~ 0.;311 ~ oonC8IVed ae a one- d,mene>lona/ e,/em~nt c.har;3c-/;~rlzed ~j It;~ length, ~ut havIng no width or ~8pth. Such:a line does nt1t .actu~lIy e:xl~f; In re.alrcy. Yet our VI~lon percelVes.a~ "ne~ A the cot1tour~ cr~3f:;ed Py dJ~COt11;Jnu,t:le~ In pl.ane, &urfac.e, c%r, or i8xWre. In dr..awlng the Im:age~ we see or et1V/~lon) we. rdy fr,m:ardy ot1 Ilne~ -bo v/!;ua/ly commut1lc.a1;e ~h3pe- 3nd form, The line -bhere-fore ~XI%& :a& the qJJlnc.e~e;entl:a1 ~r;;f?hlc­ ~lement I?f drawJt1~. " Point - r~e>i;;. L-In~ - Inwardly .at1lmat~ -ben&/on cr~.ated by movement. 'bwo el~ment~ - the-tr lt1c~rmlngllt1g and their COmblt1atlon~- de-ve/of? -bhe-lr own Th~ 'l;;lngu3~e' which c~mnot Wlt'h wor,d~. " be aicalned POint :an~ [...m8 to Planew..a&£?"y K:at1d,n~ky J.JIN]~ We, Ue;7e- qe-~~urc~ -br:' pOint, gIVe dlre-vclon, and to de-scribe. eh ;are .and mt7vcment, OrJwlng I~ .a dwe,,:;t; exten~Jt?n of -bhese.. ge.e;tLJre..e., The kinetIC> Jmpult8ete> behind our ~e~ilJrc~ mt?ve dllwn the. ;arm tt? the h;:md that gUlde-~ the- moving pr:'lnt of a -bCl6'L The ret8ulb,ng linear m~rk~ ;;we. ~. bt?th I n-blJlb/ve ,and f(e-xlble. In the-Jr abdd:'j \\~ JVIIlT'TI-s tCI de.'8Crfbe the vt?nl:;ourte> whlvh domln~te. .. if ~ "!!IIl.----o.--~..LJ--''{'1 our VI'8lJ.a! world. U • • 1l(J' .• 'mi1~~'- :aH~ n~ I~ ij~ ~I udl ' I0 0 0 0 o n o ~~. The lIne le ~ grarh/c vOl1ve.nt;It?n which we ~CC&pt ~Ince- we pU'ce.lVe ;;a/l con-boure ;a~ fine., etf cOI1T;ra~d:;·, con-/;ra~t~ are. the. eJ,gct?I1T;,n ul{;/e€J we. gee. I n plane, gurf.;ace, ct?lt?r, Clr texturc, Ju~t se -t;he6e. Ifne~ ~re. c:rlf::.lc;a/ -be:' our percertlon of the. v'~lble. world, they ~re e..~sentlal 111 re-pr'cgenill1g Wf1.~t we gee or et1VIte>lon In ':la drawll1,g, rnc'5e. Ct?nbour I,nee. flrte>t 0erve W tl7ep;wJte. one t;hlng frpm ~t1t?/;her. In l,mlE:"l1g and defining the e,dge~ t?f .j;hln~g, ct?ntovr Ilne~ a/go de?crl be their' 6hare.-, If 0een ~~ fl~t, the re~LJltlng Im.age0 are. t8Jt11rlY two-d,meng'e:'nal ~dhouetf;e~, When lJ~eJ In c.t?mif,natltJt1, htJwevei"', vt?ntour 11ne:0 can be-gin be? d~c.rl~e­ thre,e-dlm&n<&Ion;a! form, R]~(i-lJJ..ll·\rrIN(;' J~IN]~S /..Ine~ have. vl~lJ;;l1 qU~Ii//18~ of gh:are, {;one.;oiexture7 dlr~c-bltm7 ;;;Ind mC7veme-nt, wh I c-h el1ab I~ them tl1 expre~~ 1,u;;lrd::;le~ t7f ft7rm ~nd 0fflCe., U?et! In ~erle~;o Ilne~ can debcrlbe- --!;he. ional ~f1d 'bexiur31 val LJes of 0urface<? A~ purely graphic element€>, I,ne~ C6n al611 become- tbtyJlze.d ~nd ft7rm JeCt7t";;ltwe r;abtern~ w /th a lIfe. Clf their t7wn, In a draw//"lg, there. /11:dj ;;;I1'8t7 eXI~t who'8e. pregenc& 1t7 felt but ntlt: Been, In draWIng what we '7ee !:?eft7reu£;, we develpf' the$e. regu!;at;lng Ilne~ In tlrder /;17 exrll7re~ gIVe meagure U>7 Iln~~ and 0tructure- our re.rceptltm~, In draWing what we. e.nVI%7H, we. uge thl'8 '?6me- tyre t7f t?--!;ruot;ural Ilne.g ago ~ framework t7n whloh we t-;ln develop -the Image gee-M In the mind 717 eye" 37 Dr.aWII1~ r~lre~ the eame eye- mll1d- ~t3 -//h;at r~'i1J"...ed for wrrtilng Wdrd~ on ~few. And like wrd~lng, If! I~ defInItelY a ~klll whltn can ~e. ac~ulre4. For mo~ti pf U~, tlG children, hand c.oordlr7atft'n learning to draw the lebter'8 of bhe al~a~~t wa~ Inlbl;llty dlffl~1Jlt, la/?orlt)u~, ~md fun, We /?ec43rne rroflclent at. Wrf~lr1g becau~e of the rere.td;;ron'? we perFC1rmetl over a long ~erf"J t1f1ilme. Now, we Jlre ;able to 'br.pn~form f,hough~ tnt:o WNa~ on ~arer 'i.ulck~ ~)m~~1;; tran~rarent(y, '80 wltih cl raw/l'l~, prac-tilc;e over an ex~en4ec;/ period of time '''5 eg~enf;131, LJ~ln~ iihe. Wrl'7t, el17ow/ 3t1A ?houlder ~~ pIVot PO'Jil-t;~ wc 0.311 comren~3ufor' ~!1e. l1~tur.a1 curvature- of Ion~ I,n~~, )j1~(.INNIN(. F.li~En(~ISl~S OUr' fJr~f; go.al In le3rnlng -1;0 draw le> 1;.0 aC1,ulre conbrp/ In dr3wlng Ilne~, rhe. fpllowmg ~xerOIe>ef; are Intended whelp you deve.lt1f "5kdl and confldenc~ In line. dr.awlI1g, Af'pro.ach 'bhem WIth a r~laxed 17c?dy and mInd. AfJ you draw, become Ct1I1"5CIt7Uf; tf anJ e.el1i7,{;;/Ve -bt' how yt7U hold th~ Jrawlng lnt3trument., the pre~!lure WIth and w}w:·h you 1113rk a ~urf.ace, tf th~ drawn mark. ~he qualIty Feel the. fJurface- texture .and -I;h~ fpmt c?f -the drawmg to" 1 3t3 It ~lldef; 3Cr"!l6 the ~urface, le3vrnq a tr3Cf:- of 1ihe. meJlIJm I:?e-hlntl rt;, - Dr.awJI1g t~ .a~ much ;;;l vli7u~1 -/i.hl?ught prov~e>~ 3., d;~ IfJ ~ r.hY~/cal 3et. W~ mu&t ther~ftwe Jevelpp bhe 3~/"ty t"o JuJ~e­ what we. dr3w ae W~ draw d;;. Vr..aweven) COI11;;I/1U"U"5 flne.s, and eV3luat~ e.ac.h I,ne. for It& t8tralqh/:;ne6~ or deSIred curvo3tut"e., Vr.awlt1~ too ~plc.k!y c3n r(;!lu/f; 1/1 n.abur;a/!y curv~ llt1~ 1:>~C31J~e- we tend b" LJ~~ our 3rmt3 ,;3~ pendLJILJm~, Comfen~3te. 17y draWing &Iowty 3nd dej,t,'erabely. VO ntlt ereee or draw ove.r 3 preYlolJ~ly drawn line., but :a Iway'? e>f;;rlVe. for Inoremenbl Imrrovem~nt t1ver the 1:at3t I,ne ar.awn, ~~ ~"""::l . • \ ..... \ • .~ ""\ \ PARALLEL UNE:e: ~ Or.aw vertlc;a/ and horltont~1 -serlc:; of r~r.allel Irnee ;a!1l7ut I/z Inch a~.art frl7tl1 eath other: Carefully c.nec.k e~ch line for -stralghtne~e and even i?f2lCIt1Vj, and f?t.rwe to make each lIne?tra/~FJter than -the- la'?t;, U~6 rrevloui?ly Ilne.~ .and the e4.ge~ of VI~ual glJltle5. drawn ae;, tne raper CIR.CUt.AK 6f'lAAL~: From the ce-nter pOInt of a t;Jhee.t of par-er, draw:a cJr'clJ)ar 'SplI"aL A5 It ?plral~ outward, ~he. I,nefJnolJld remain parallel to the- preYIOlJl7 rlt1,g, With ewen 5f.3Clng be-f:ween each rlt1~, Draw coll~ 170th cloc.kwl~e- and GOU nun;, IOC-kWI ee. Place- un dot~ ;at r;mdom on a tjheet of paper. men draw RANDOM LINE~: straIght lIne'? whIch connec.t one pOInt WIth a more- dl'?tant one-, Draw In all dlrectlon~ wd;nout rnoVlngyour b'I7Jy PO€7ltlon relatIVe to the ~hee-t. Do 110-b curve the Ilne~ to meet th6 pOln-/:;:;, If you ml"~1 try:ag.aln. C:!~CLE:f$: F'r.ac'lilce. drawlt1~ a r'ow of c.lrcle~ be-/:;weerr gUldellne.~ '2 to ~ Inche~ arart. Draw WIth an e-Ve-I1) contlnlJOU~, cJrc.lJl~lr motJon ea th~t the curv..ab"ur'& of the-Iln~ I~ ~mooth, AvoId elliptical ~n~p~, /n a i?lmdar manne.r, draw row~ of both ~m~IIe-r' -;md I~m~er clf"cl~~, !N"'fERfRE'fAT ION? > •..•••.•. - ---- \ The rrec.edln~ exerClt3Je~ g21ve you pr;aCoblc~ 111 to dr;awl111 a v;arletyof Ilnet3J ;;lccondrng a ~~t if Jnt3Jtructlon~. You w~re fJrl5t req,ulretl 170 vlt3Ju;allze- accord,nt3 to th~ verb:iJ1 dlrectlVel5 and then to dr.3~ Now we In-brotluce the lae:a of dr;awlng In re<;;pon5B- -/;0 lIt1e~ which :3lre.aJy eXlt?f:;, Boe.fore we l1~gln to dr;aw, we. face. a ~12Ink ~he~t: of r21f.'U'. w~ ove-,....~ome the OUr' vl~u;a1 ~y~t;em o?eek~ p.3f:;f;ern~ th3t make ~el1:?&. fnu? we tend 1;0 complet;e,. whICh :alre;ady eXII7f; on p.aper. At3J ~oon se they ~r(/ ~r.awn, ihey h:ave ~ life of -I;;hel r OWI1 a ~B-p~ir.ai:e re;a Id:;y 1;0 whlc-h we C3n re~pond, drawJt1~ -therefor~ repre~ent~ el71pt'lne~~ wr-t.h 1;h~ f/~f:; line W~ tdr21w. From i;h;af:; fl7lnt. on, we :are dr21WII1~ not only 1/1 re~pon~e.. -bt? what we e-nVI~ldn or eee oUl; there, bU1; .aJ150 bd the j!t1~ .-J ;any r3t'bern wh,c.h I~ meomp-Iet-e :accordIng 1;0 wh;at we kl10w from f':a~t experIence.. We antlColr.ate ae we vI~u3JI~e. ~21ch ~LJcc.e!5~JVe line Hi ;a CO/1-1;;,n ulng '?~:aroh for -th~ of ;a me;an,ngful p;.t/:ern. a completion CUIWEV UNE'~ W!TH porm~ WAVYUN'E~ - ...-. t l. ~ ~~- ~~ 0 o liltF~~ - 0 0 0 CH~GULAR OB':5TAC'LE6 A '6YMMETRICAL PATn::RN' GEOMEr~lC OBSTACLE';; In -lIhe'?~ ~x~r",'~e~, -bhe- Intc.n1;IQn I~ to h3ve you Y'e~f1ond -lIo Wh3t already eXI~t~ a~ f3ri:131 'm~1~~, ~md -lI11~n com fl~f;~ ~he Imag~~ ;lccorJ Ing to your re:~pon~e-. E:aCih ()f L)!:> m;;lY re!Jpond dlffe.re-nt:.ly) :and ~he-re.fore -lIh~ Il11a1e~ ~e- c.re.at;e m~y differ. 1'Je-vert.h~le~~, the p,"acblce I~ In exp~rlenc.lt1~ -the- IMtet"21c.tlon t7f ~eell1g7 VI~u3Ifzmg, .md tlrawlt1~ With Draw cont;lnuou~ 1/t1~~ from tlne ~itJe. I7f ~he:e-t to -lIh~ t7the-r. Folll7w the f;ltt~rn you eee ~1;;a~I/~heJ by the e.XI7I:, n~ Ilne:~ :anti wtlt"k arc7und t7b-:k3c1e~ .a~ you meet th~m, bu-b try 1:;t7 re~pond ae well f:;() thb II11:llge :;il~ It: evolve<e> and -/;r.ant3ftlrm~ rt~ejf With e,:ac.h the. ~ucce~~lve 1,l1e you tdr;a~ "11 ee. 4f A'5 a graphic elemenb, 3 cont;oIJr line I~ 3 one~ d,meMum;?/ trace on 3 t:wo-.dlm~Mlon;a1 plane. Yet It; I~ the. ml7~b efficIent;. graphic. m~al1? we have In drawing tt? ,...epre~en1;; three~d,mel1~lt?n.a1 fprm~ In grac.~, A contour line. flr'~t m;ark~ vff 6omeA:hmg from what. It I~ nl7t. 310 ~lVe!1 ,1; ~hap'e.. r;u' ,t dpe~ more than d~c.rl~e. the I7LJ'~IIn~ Whlvh clrc.um%rll?e.~ an I7bJut, It can 31~17 elo.q,uentty de%r/be. t1,u3I1tle~ of ft1rm. "'"<: (~()NT()IJn ])lt~\."TIN(;' In oonbour drawing, we-draw frpm O~5~V.a­ t,on, We l1egm by I17okrl11 c;iltfe-fu/!y ..at wh:;af:; we f7U, befl7re. U6. ,hen we. undert.ake. the. proce.sf7 t7f %annJn~ each contou/"', hOlding an Itrl age t7F that line., vlf7utlllt.ln~ re on rpr~r, .mtl dr;;lwlnq that oonC&u/"" 111e ~17~.d I~ 1:;0 arrIve :at; 3cc.urabe Ulrre~pot1denc& l1etwee.n -the eye.) ;l~ It; follow~ -the. contour'? vf 3 fl7rm, ;;md -the h~lt1tJ, 3~ 1'1:; draw? the. Ill1e~ whIch rep're~ent; f;h(}~e con/;olJr~, ,n COl1tl7U r d rawIng f:;h LJ~ re.qu 1I"<:.<f7 secU1".;1 be 0~~erv3tlt:m7 s~n6ItlVl!~y to ttLJ;aI,tl~~ t1f form, ~t1tl <f7klll In vl~u.a/l:tlng .al1tl dr.awlng Ilne~ whlc.h ~r..ap'hlc~l[y ref'.r~~el1t th~~e­ 1lJpld;;(e.~, It ~LJrrre~~e~ th~ ~ymj,(1),c;. al1'7bractlon we I1l7rm;l}1i lJ~e,. t.7 rerre~ent:. -thln~~. 1t1~f;e.ul7 If:; Ulmre-I~ uq, to ubd,zeour f;.l>vtde ae we-ll :a~ our VI~LJ;;II <f7el1~~, ;and bP eee- bl7th i:he. wnl7(e d~3rl~ ~/mLJlt3neOL.J~ly, 311.d I!:;f, Pr;lW;l~ If you wer~ touc.hlrlg each contour wIth the. pal or pencIl pOInt. Cm-t.our dr3wlng I~ I?~t; ~"ne. wIth ;;:l ~oft;1 well, ~harp'ene.d fUlcJ! (7r;? fine. fdb-c1f pen cafa~le Itf prl7dLJcll1g :3 ,?h:3rr, /MC-le-We. 11l1e-. 5t3rf:;mg at .any convenl~n/:; fl7lt1C- In what we. ~U-, I?egm tlr4:lwln~ i'/:;!? wntOl)rs, Concentrate on navlng -the. hand fl7llow tine path the eye"!) 1:;;;lke as 1;h~y tracethe untlulatlon~ and rnJent:3tlonq, tJf the ed~e~ ~ a fl7rm, bre;;ak~ In pl;;ane, and Iflc;mt ohange~ In value, -k-xture.., anti op/or, Re~fond 1;0 e;Jvh and every ~Llrf;;ace modul:at'cm WIth ~ulv;;alent hand 5/1 ml7Vement6, You may h4:lve ~ ~p pe.rloalc.ally as you continue. to 'Scan -the '5ubJe-c.t, but .avPld making th~ge ~tOr.f./l1g rOH1{;~ t-tlP Cl7n,p'CUOU'5. Keep the pene-d I7r ren In cl7l1tacb WIth tHe. r..ar~r surface.. t7r.aW slowly ;md del,ber;ately, ;;lnd Imaqlne thedraWIng tfloll'5 In ccmt."of; WIth the slJbJut se you draw. 170 not re-/;rac.eover line? or er3~e- -I;he/11, Mo,-/; Imfl7rt~mt(y, do nt7t I~t: the h;md move fa~ter than the. e.je C~t1 ~ee., mOV6 In r<:lce. With the. e.ye. ana t7b~~rve Coarefully, o While contour drawing due.lop~ \ k~~f1ne~~ of ~el"'t:~ptlon) vI~LJ~1 ;acuity I~;a function of '?cale. ;and The 510w ant! delll1e.-r.ate. proc,e.% I7f contOLJr dr3wln~ Gomfel~ IJ~ to ~u With cl.,rl~J ;and accLJrac,y. To draw a conVlnc,lng repre~en­ -ba-{;;Ion ~lmF!Y With contour l,ne.'3'. we. mu% unAer~bn~ flJ/[y the. nature t?f ~ form ;;lnd rtf? 1U;:lld:.,ec::; pf q,truc;ture .and geometry, wel~ht and del1'?fcy, m4i~erlpt .anti -bextlJr~. The 111 0 re. tiu-rlY we eee, t7F ctlLJr~e, -the. mQre we wdll1ecome. ;lware tlf;l form'~ .de'ba1/c::;-the thlokne~ tIf d;5 material, how,.~ 1;.urne? or l1end~ around ;a corner; how ;;;mti ;lre .a~~em l?led tlr cont7/;rLJcte.d. When confront~J With a materl;a!/(i; meet myrIad ~ eueh detail~7 we mLJ~-b Jud1e. relatIVe GI~nlf,cance.- i?f each t::iet;iI, -t;ht7~e COJ1tour~ whu;h are al?~olvf;.dy e~sentl31 for the comrrehen- tl1e. ;mtl Jr..aw on~ %111 and rerre-?e..nf;.a'tlon of the form. d/~tance.. Ovc-rl;appll1g m;a1ifmal~ dl~rLJrt. contour lmee and r~ve..a I their th ,ckne;'5'3. <, 5f;r/Ve w different/ate- hard corl1erq, and edgefl from '5oft bemd'5 and fotd~. At cerbH1 F,0lnb?) '?LJch ;;1'5 ~re-ak? In flane<? or fold'5 ;;acrj~S contour'?, a contour 1111& m;;y be Inberrup1;eJ ~y ;;lnptne-r von1;;Olir or dl~:af'f'e.ar. At the'5e Junc:/;;ure!7, anly a mIni mum .amount t'f 11I1e. may be. nBCe'5~.;ary to 5how the- '3pe.clflc nabure of the form. E:.xrerlment with how dlgCon"blnulf;./e?) u~e.d gele-01;we-(Y7 can expre'3~ -che~e, 1ual/"blefl t'f form, -strIve for economy t'f line., A ~Ingle Im~ weIght 1& ~H th:at I~ retf,uJr'ed for a contour dr.aWtng. ~y v/rtu~ ri" tn~ tOlJvh, medIUm, .;and ~urf.a(Z u~ul t-l? cre3t& It, howev~r; a l,ne. :also h:as Inherent q,u:3ld;le-eo of wIdth, den?lty, te.xbure, COnbll1Ulty, .md rhy,bhm. Th~~e- q,ualltle~ e.n~hle :3 (;onbtJvr line- 1;.1' 11~ mQ,...ee.xl7re~~IVe. and oommunlv3ce 3 I1rl?.:aJer range. pf a fl7rm'~ q.u;;lll-ble~. FOI1:M \= ;.4E) ~ l(I Ii I·1I Ij MA'fER1AL LIGHT' -l1r I " I ;:/ ,f, . •r, \ b form ;are- Inte-~r(:,lai;ed. In LJ~I ng 11 ne t~ COl1ve;,y one- tfpall~.y, we- "The. ~lJ~IJ'/;le~ t7F \ nUe<?~arl(y wfhJt-nc.e. 1/I1e expr~fon 21na pe-rc:epi/'''11 of I7f;he-r 1U3"t,e~ ;:3J? w~l/, 47 · " ' . . ... "~ . HA1CH1NG There are- 6LJbbl~-cle6 cJf form whlc.h cannot be r6-nderetl with ~ "Jingle contour Ime. lP convey lIhe!7& Gomr1eX1-Cleq; of fr?rm, t.extul"e, :ana m:a-berlal, HIe can LJ~8 q;eve-ral -/;'yre6 etf m"dellng llne-@. Hatch I ng r~fe.r~ -be?.a spaced r,,ar:allel Ime6. ~erl~~ t?f clo~~ly CrQ~~- nato~l1ng Involve~ J.gy~rlng 1;W& ~etfJ df hatched qreabe-r del1~/ty ;;md 1;;11/131 value-. Sc.rlbbl,ng I~ la netwl1rk of more- randpl1'1, mult,,::Iwe-c1:;IO/1;a/ Itne~ whOf?e- vl~u;a1 -be.x-bure wrll vary.accoralng t;" the hne te.c.hnlqp& ufJed. I/neq; fl1r In :al/ C:a~~, one mu% h'e. conscIouS of the. te?n:al val ue.. being rendere:-d and be. careful MM; t:c7 "be-ure- wh;at loS ~~en­ -/;Ially la I,ne t;~chnI1ue.. o 6 \ I ~­ . \ . --Any ~err~~ of h3bched Ilnt;.~ will cr~3j;~ f'3ttern, If 6f.JCed CI06e. enough -togeth~~ -/;h~ I,ne-;, lo~e their' ,ndlVrt!l,J;JI,cy ~nj merge- w form 1;~Xtur~, ;a vI6LJal WIth ~h;a~8 ;;m.d dlr~C~IOn, the,y c;311 rn-odel 3 form arid rentlu- q,u~tle-/;le6 I7f light and 6h:ade., WIth -bexture -and contbur7 the t8erlelf7 t7f lIne'!; can convey m:aterl.al c.htlr:ac,terlt8tIC$) ~lJc.h ;;l'5 the grain t7f wo t1.J , the. m;;:wl?/Inq tlf 'bi1711e., or ihe weave- ctf f:abru:.., I: , i . '-.-; ~ --:::-.:e;'" , ~' . - .. ~. ~:....... ., -..~--. W,.~n exp~rlG-nc~ In 6eeln~ ;md flu~c.y In r~pref7enbln'" the 1u;3ld~le~ tJf form) we C3n procee~ frt?m the- dellbe-r:Jte. n~tiJre. of c.oniouf" draWl n~ tt7 the e.pt7ntane-d;y c?f geq,ture. Ar'awlng. A fllngle-- COI1t.II1UOUe. line or a mu!'tlpl/(;Ity t7f !~wiJk~n Jlne~ ~re­ drawn free-Jy ;and qUickly ac.re?~~ a q;hut as we ,%pn ~ ~u!v~ct. and prtJJed; t7ur' perc.ert;ltme; onto p.3rer, r'~' ~ ''''7".- ..,. The. vlf;al, intUItIVe- na-ture c?f ge.~-blJreLS -"'~;_~ . ._'_. __ dr.3wlng r~1U1re~ ;;3 und;y tJf fJeeln~, After LOUI~ L !0hn feelIng, and d/,,;lwln1' 1ne. fJr<&f; Ilne~ or ge,~tLJr~~ we dr'aw j)~u.al!y Indicate. the'"'-.. . . i7ve-r;a1l ft7rm, ;ana then <&Igmflc;mc de-tarlfl <'ire wove-n Into the. <?truc-f:;lJre., IJnefl may f"Jlnv' -the. c.ontourq; ~ theobJe-c;/; dr run counter' to them. V~rl~tlt7n~ In pre~~ure. ;al(7n~ wIth the d Ire-c.tlon ~ the. I,nefl C3n lr11r/Y Yt7lume. fhe de.t1~lty ff the- Ilne~ can reveal where we. eee- fJlgnlfrc:ant debd~ or wh;;;rt we wl~h -be? emrh.a~lze, The -_ We- h;av~ i?un how Ilne~ are- able- f;/l ~ffecblVe(y .dee>cnbe plI:,b/lrl:al 1,lJ;Jld;let7 I7f form, t;cm;;a/ v;a/ue, pnJ texture. L-Ine~ can ;;a/£Itl rl~y ;a more- ;a~&trac;t;, cont7tructlVt/ rtlle In re~uI3i;lng the ~hlJc.tur;;l1 :and i;he &p;atI31 rel:;ilt'tln&?hlf~ c?f fl7rm<? In ;:l JrawJI1g. Llne~ ;are well'&LJibed fdr i;h,~ pvrpo&e ~/rrct­ 1;h~y n;aturalty anti efficIently f:,x~re~~ length, dwec:/;Itln, :and mtlvement::, -, ........ R~ul:;il./;ln1/Jnee; c,;an ·bake- meae;uI"e tlf theerze, ~f1;ape, ;md <?C;l)~ ~ thing'?, Jl1d thus ctlntrol the- over-all rrt'ptwt'ot131 rela{;/l7n~hlr~ of both forms and ~raG~~. Thee;e are '?tr3Iqht, -br;m~p.3rent Ilnce; rvn,ch arc nP't Ilm,t:.eJ by t-h~ bOlJnt13rl~~ vf thlng~. l1u;y C:;ilt1 cut thrtlugh ft'rm~ ;mJ exte.ntI ihrdugh ~/?3c;.e as they Itrlk, U'r~anlze, ;ani .gIVe dlmen~l~n i;Q th~ yal"lou,:> 1;2 element'? ~ a dr'.;IWIf1~, .: ---- ----~ ----+.-+ / I I The e;a~le~-b VJ~u;;;l1 jUdtjment? i;c7 make.th~ hl7,..,zont;a! 3nd ve.rb/cal rela-b/t:m~hlp~ whIch can m~3~LJre c:l,men~lon~, ;Jllqnm~ntfb, and t7ff~et'7. r/i;a~pn.al ;ilntJ bnge-nt/;a/ relabon~hJp~ !?e-tween slgn1flc.ant pOlnttl ()f a form can then ~e lJ~~ f;p .au~me.nt .anA verIfy these Ind/lal jucJ~me;.nts, Inlblally are Regul;af;./n~ Ilne~ are- often -be-nbclVe. II~htly tJr.awl1, They rer,.rc?ent vl.su;a1 JUd1l11ent~ b be c.onfll""med t71'" i3tJJust~d. They can b~ I"'emoved, bLlf; they m;ay :al~o rem;aln ae p,i3,..t;,r the. fll1al dr.aw1n1 In cmder to I?Jhl7w t~& and workIng prc?ce;.$'7 w.a~ matJ~, l?y whlc.h the dr.awmg ! , '" ~: ) 'I f 'I I ~~ '') ~------- VE:FIN"JNG A f'ATHWAY POFi: TKE: F:YE Requlablnt!) Iln~~ can expr~?t7 the ?ratl~1 rel;;a~IOt1~h/p-? ~mol1g the con?C!-l;uel1t elementB Of ;a dr;awln~ comrOSol'tron, fne?e. lines may not I?e. vl~I!?le tc? theeye, ~lJt their' rresence I~ feAt; se they f.roVl.d~ a v/~ual fr;amewc7rk on whrcn the b3?Ic. comfonent& pf a dr.awln~ can ~e &naped and organ 1~e.J, fhe&e7 regulating l,ne? repree7ent vecctw? of the perce.pcu;a/ force? which !eaA the e.ye a? It ?c;3n& J dr.avvmg, iht:Y define. a ~-/:;ructur.;al or'1;at1lt.;l1:;.ltm ft7r', and ~e.rve ;a~;l VI'?ll?le m;;3p"f, tn~ pOInt'? c?f e-mrha~l~ which mu~t be blJl;;mced 111 <any .dr.awI111 c;ompo?I-b/on. \ I:, / ) g o SlIl\I)]~ rl'III~ 1)]~FINlrl'I()N or 1~()I\~1 The role of the- I,ne- nabur~lIy ext~nd~ from de.&C;rlblng the conboure of f"rm~ 1:;0 the. deflnd/lon <7f flguree In a vl~LJal field. Our r.erce.pilon I?f the boundary line~ wh 'ch ~1~tlnglJ,~h one- thrng from another le.,ade. to "ut" reCo1t1/tlon l?f Ein a It I!> ~y ~har.e- that. we. Ide.ntlfy, unde~t.anJ) and ar.rreclate- the. form~ whloh make, uf' our vl~u31 worlt:l. In drawJn~? -bhere.fore..) the ra~ern of Iln~ that we lJ~e t"o r()rt,...~y o"Je.ct~ In r~.al ~r;elce. mUofIt) on a -bwo~.dlme.n~l(m.31 evriece-, wnvey the ofIh.ap~ df th I ng~, re, ';;7 I , Th~ ul-b,rt1:ilte- e-Xfre'77Idn t'f the- l,ne. drawing I~ cAII''1raphy. Call1grarhy In refer~ prlmarl!'y to el~~ant handwr.,.t;Ing, but. th~ fluent, ~xpre~<;;lVe n3-tur~ c7f the 11 neAr ,?1;rt7ke~ can ;31~d be u~ed In p,c/;drfal repre'7entJ1;'on, W,th a fle-xl~le. pOInt or :;;l wt;lI- pdlnted bru~h that re<;;pond<;; to the. rre~'7lJre t'f thehAnd :and the movement t?f the arm, and a Itfe-tlme t7f ~xrerlence~, oneCJM exrre~~ the e-~'7entlal 1LJplJtle~ tJf form In an e1c?1,uem:. manner, "",' · , me hne~ we. '5U In Y/~LJ;31 ~f~ct:- corre~ptmtl f:;o d,q,ct:-rnli?Je. ohan~~ In tot1.a1 v.alue-, colo~ t~xtlJre7 anti p,31;~e,rn. 1ru:~e. Iln~q, I7f conf:;ra~t, when q,h~wp e.nou~h) and dlq,-j;,nct el1ab'le u& -bo rercelVe o~eot­ t?pace. :and f/7 dl~t/ngul&h one thIng from ;another; form? 111 When we drawl we U6e refre~ent the llne~ peroewe. rhe~e- f'lctor'/a I way of o~jeof;· and ;;l VJ~/ble JJt1e~ W .?f oonk;a~t we- 11t,1t~~ tleflcl:; In the bdge~ ,and c;.ol1t;OLJr~ dr.sWt1 ~p.atl.~1 fdrm!1. The)' enOII7?6 a v/~uaJly rercerved ;;a/"e.a 3nd gnow where one. lfeglnq, and another appareHtty end~. In eo dOlnt:', they ~IV~ ~naF'e- 1;;17 the db~c.rl bed areae. two-d,m~MIPn;31 con~erb of ;a It:;~ own ~olmtJarle~ ~1nd cut; ~H frum a bargel" v/~ual field, fhu'? '8h~p& re-ll&b on tFre- l,ne th3t de.&Crlbe~ 11;'8 edge or the contra?t K bonal value, c%r, or bexf;urb th3i/ occur~ alon~ 5h3p& I~ ;:l figure. conb3tneJ l1y that edge.. Any Iln~ th2i1:;. deflne~ a '7hape on ,me '8lde of 11;e> c.ontour ~,mLJlt.aneoLJ'?1y C3rve~ out 0p3ce on the other ~Idt/ ~ It"~ f.,abh. A '7har~ oal1 newer eXI'?t alone, It c~m only ~e gee-f1 In relat;lon to other 0h21pe6 or the 0f'3c-~ <3urroundll1g It-, 'I. The c-ontour line. which bord~;r~ a figure appear~ to !?elong to It rather thAn to the t?urrounamq bac.l<qround. 2. The fl'3lJre- ;lrpear? bo b~ A 'Mlfconbalned objevt while ,t~ b"ck- ground dc?e~ not. I ~~ .'"'~ . -~~~~~--~-.. Ft:?r;a '3>h3fe- tt:? be reot?~nlz;able. rt;. f11U~t 215 :a flgut"~. A~ the i;h~e-~hc7la pf p'erc.e-ftlt:?I1, we l1e~/I1 bo eee t?bJe-ot~ A~ fl'3[Jre~ A131n'3>b a b~okgr()und, rnr~ 17e l5een re.lat/t:?n~hl/,? bUween fll~lJre Zlntl ~aok­ ground ,~ oal1 ~~~et1tlal conc.e.pj; In th~ orJ~r',ng of OlJr VI'3U3/ wc1rldl for wd;;hpui;: tn,,q, d,ffe-re-l1ilatlt:?t1, we would eee 3'3> If throuqh a felt} A f,gLJr~ WIth '3h;ape6merge~ from a l1aok~rPlJnd when /1; hse ce-rf;.iElIn charaocet"''3>tlcf;, it' ~ j .. J i J ,.. ; ~" '" ~ )'" ~J. fhe hgure tlpr.e~r~ ~tl or ~ub'7b;antlal than \. -.e ,• b& mare 60lld d/~ backgrolJt1d, 'tyJ "..' • j ;f !lit", ~ ,4 H. The It~ til~ fIgure- tlppearl? fIeld and be- a v'~f)al to dom nate. l11o/"'e Image, J me-morable- A figure. wh le-h C2n b~ e>e~n rel~blVe!y cle;arly ag~ln(,t J backgrounJ I~ ~al.d W have a rO~It;IVe. ~h;ape-, f'y comparl~cm7 tht; flqu/"(:;.7? backg/"'ound arrear'? -bo b~ ~nare:-Ie~~, Jnd I~ 0;3/d f;o have J ne~atlve. 0n:ape., No p~rt" tTf a VI'?U:a! field, h17w6we-r; I<? truly Inert or nelja1;IVe-, Bath f,'o'7/tlVe and neg.atlve ?h:ape~ are./nterdefende-nt) they mu~t coeXI<?t and link -bogul1e-r to farm a unified Image, We mu&f; eee the who{~ whde ?/mu1t:aneou~ly perceIvIng -I;he.- farbq" In proper relat.10116hlp-to e;tloh other; WIthin the whole,. ,~.a very de-lll?e.r~te­ whIch emph23e>lzee> a£;wr'2t:e- Contour drawing I1ro£;~e>~ o~@erv~i;lo/1 and p7erce/?1;;IOI1, At? we- carefully dr.aw col1f;oLJr Ill1t~ 111 ~e.'t()en£;~) one aft~r' .another; we define. th~ p~r, ce.lvetl q,hape5 of fl7rm~, S/I1£;e, the6e form~ ;;3r~ normally 'Seen at? th~ f06/'t:W~ fJglJr~6 In OlJt'" v/5ual fIeld, their cont.c?LJr l/nee> will naturally def,n(/ the- rO~d;lV& ?h~p~~ of a draWing COmp06Jtlon, L..--_----'l--- -- -----+ THE' SHAf'~ Of NEGATIVE: t;3l"'ACE: Ae; we dr.aw -the ~ge~ TNTERACT1VE SHAf'E'5 t7f pO~ltlVe t?hare~} we ~houJd a16t1 ~e 3cubely ~lfV..:we of the neg~-f;IVe '7hare~ we 3f"e cre.;itlng. Whdl:- we /1i7rmally perceIVe. o:7ra1:lal vl1ld~ 36 h~wlnq ntl '7U~~1:3nCe, -bhe,)l ~ha/"~ the6ame bOUl1tlal"le@ 3~ the form~ they enve.lop, In dr.awln'11 .a/e>o, neg;;3t;IV~ 6face~ ~h;lre -the COI11;t7l1r" IJne6 that define the edge6 tJf r061tIVe '7hape6, ·l lHS '?HAP'E OF INmr<JO~ <?fACE ?eeln~ :and dr~wJng} wc ~nould ~lVe -the £,ame attention to the 0hal7eq, bf neg~tlVe ~rau~ a~ we dCl t.he rtJ~lt/Ve. <?h3re~ of fClrl11~, SInce- negatIve sn3pes do nt7/;; ~IW;3Y:; have. the ~~~J1y recognlz3!11~ q,u:ald;I~~ of ro~d;lVe. In bl1th 6h~pe6, they C.311 make t;he effort;;, be ~ee.n only If we. A'iJ we dr.aw a lIne" we. ~hoLJ!d !?e. con%IOU~ not only c?f wnere It ~e;gll1'iJ and e.nd~7 !?LJ!;. ;;al~o t'f hdW It W1t7VeS, and -the. ~h;are? It carve? alol1~ the. w.aj, E;ac,h I/n~ lead~ to :another, .and then another and ;3noth~r; thereby c..reatlnog bt7th pt7~lt1Ve and ne.gablVe 'iJl1are~ In ?r.3C~, Afj w~ 1?eot7me. mt7ro~ fjen?ltlV~ -bt7 the. VJ~u.a1 ch~w.acterl~tlcs df wh.at u1111ue. W~ eee. and draw, we ~n(7uJtJ n~ IOfj& fj/1ht tJf th~ bt7ba! Ima~~. Td eneurethmgfj remain In theIr prt7per p13Ce. And r~lat,ot1~hlp to Of1~ anothe-r- to ~Vt7ld m~kll1g m"unt~/l1~ (Jul; I7f mt7lehdlq;W~ mu?/; pay ~f:;tenbl"f1 1:17 proportIon and q,c~I~, Prot7pdrf;;IOn Ifj a mattel'" I7f ratIO?, and "';3'/:;/0 Iq, the. relatlOnfjh'r t?etween any tWc7 par/:;e of a wht7Ie., I7r bdwee-n any rart;; and the whl7 Ie. In ?eetng, W~ q,hl1ultd percetV~ the- proporblt7nal r~labll7n?hlffj whIch regulate- our pe-roer.t1on pf ~/t-e­ and t?hapc-. Corroefjp"ndln.g!y, !1y utiliZIng a coherent fjerlefj cf r&lt/l7fj 111 t7ur draWIng?, we .are :able- 1;/1 convey .3 ?ef1?~ tJf un!1;;j While. .;allOWing ft7r dlve:-rfjlt:.y tJf fjhare, Cd/Or; and textur~, [ == 1 ."7'- R~/;a4;ed bo rroforbon r€> ~he. lae..~ t7f Sc;a!e refer~ to app~re..nt <?/ze.how I1lg r1r' ~mafl we.. beAleve -Bome-thlng to be... 1/1 ortler to meat5u".c, 'Oc;~Ie., we mtJ~f;. h;ave some-bhlng Clf known <?IZe. to sc~Ie" whIch we C3t1 re.fer. Im~ge~ of people- ;are- corn monly 1J<?~d In thl~ 1113nnel'" to e~t;;lbll".:1h how /;a"'1e 0". q;tt1~11 other -/;h Ing6 are, ThiS comp.arl".:1on /6 kJ21~ed on our' famd- larl1:;Y WIth our OW/1 body d/men~/on~, and -the- ".e-~ul-l; can make.. the bHlI1g weare mea~urlf1g ~eem large 0r'17m311. In 3 ~Imdar manner; we van 2l1~o u~e. as a. measuring st3ndard gome;4;hlng Whose '51;re 1".:1 familIar to us, anJ Whlc.h, l?y comparison, can make us fu-I bit? Clr Iltbl~, f'tf1c.I! ~hoLJld ~e 111 a pl;:lne. pe.rpendlc.l.d.3r to line. ~ ?Ight. AII~11 tl~ of pencil ;md tl'llJI11b' With end? of lIne ~elng l11ea~LJr'ed ~-------~ ; _. - - " ' ' ' ' ' - -_ _.....L--_ _....... o 1 ----U...". Z V~ The.r~ are ~eve.ral tt.c.hl1lq.ue~ wnlc.n v~11 he-Ip u? make YI~LJal Judgme-nt~ ;;lnt! el1~ure -/;h;at th"1g~ h;ave P/"tlpe-/" '?h;ap~ ;;:md .dlmen~lon;a1 re!atltlnt?hlf~' A con~ venlent one to begll1 wIth I~ to ut?e a pencil or other dr.awlng In5trume-nt :a~ ;;l v/~u;a1 ~lgh1;ln~ dtW'c~. WIth the rel1cd helti out ~t ;:arm}? length, In a r1tme p,.ar,allel with our e.ye~ .and rerpel1dICIJ/;W to our ~ t7lgh/::, we can q.auge the relatIVele.ngth~ and :;mgle.~ ~ Ilnee., line 10 make a I,near me;;l~Urel11ent, we ;align the pencd'? tiP WIth t?nt: end V'f a 1,l1e we ee« an.d U~~ our thumb bo mark the other end, We then "'.1h,fl; the renc.iI -to ;mother I,nt- ;and, U~In.~ the. fw?t mea~urement ;;l~ a Ul1Ii: pf length, me.a~vre the. ~ec.ond Ilne'~ rel;:atwe length, We norm:al/y u,?e;:l ~horber line ~egmen-b to e~t.;ilbll'7h bht:- unit;. of measurement 'b0 th~t (7f;her line s~t3ment~ C3n ~e muH::/r1e.IJ that:: U/1/t, '* ---- -9 1 AIIgr, pel1c,t1 wlthl r l t?lorll1~ lineI ~1-?IJAIiU th~ 3~~le the rencd mtlke~ with an tl~~lJmed horlz.ontalor' Vt-rt,1 cal /1 ne., "::, I1 : I f Method z: 'Hold 'bhe- t?el1cd horizontally or ytrt,c ally 2nd V/~lJaf I ze. the ;3ng Itdi In 111~!<e~ IVlth tlddd:;IOI1 15lof?rng 1/I1~. to mea- ?urlr1~ let1gth~ ,md angle~~ the. fwcd C3t1 ~e. lJ~ed to '!1tlU~e ;311gn ~ met1t~ tlnd the- ~nape~ pf t1t~atlV~~r.aCe-5. In .a "7lmd<3r- manner; we c~n u~c- the. l7encd helJ 2'1; .,lrm'5 length ob?' c:PlJtje.the. angle. at whlc.h a l,ne:- de.Y!at;;e~ from the. horlzont.al or vert/cp!. Holding -tf1e.. pencil tIthe-I'" hVr'lztmtally or vert-,e;;! [y, aned a!l~nlng It wr/;:;h one end <9f sn tlngl&! lint-, we. can vl~LJ.a11y Judge. -th~ .mqk, l?etwee.n the line anA the. pencIl. rh,-? ;angu/;;l!" mea~ur'emeni:; can then be tr.antJferr't~. d to a .dr.awln~ ~ll1g th~ ed~e..~ Clf -bhe ~!1U'f; ~ paper a~ horl~ol1'f;al <91'" vert:;lc.;a1 refere.nce. Il11ee.. ~------~---------------- A // t? C p-------- • If ® I<? 0/18 Ut1It- len~th, Ic?n~ I<? 1111e.@ ~ ~In~ nc?w many unIt? © ~ L.,rle. @~ D !7e,fore- we ct'n ~)<erc.l~~ VIJ?LJ:;a/ JLJd.gment) we mlJ* be Wrtih prac:t:;{~, we- v.eln proY~/cti IJnlt;. length~, ~1uar~5, t'rJer -1;0 JLJAqe propor"bl,mt3! relat;;IOl1fJhlr~. The <:l~",ty to e~lm;;af;e dJmel1~ll7n<:l1 r'~la­ tlonfJhlpe> IfJ at tl·'U::. root I7f <:lll ot?Jecf;IV~ dr.awIng. Wd:;h I;r3lnln~ 3nd exrenenc~? we. C3n ubillze the prevloLJ'7 fJlqhblng te.c.hnlttue!7 wIthout;: <3/1 exte-rI1~1 deVicefJl)cn a~ a f"lJler ar penc.Jl, In~t~.i3d. we c;an deve.lop the al1/l/ty t.? measure thedlmen?lon~ of a fot"m .and tj;;au~e re/;atlorl0h I F'!7 IVIth l7ur eyee I3lon~, ~l1lb to eee ?11;are .and qf;r!Jctur~, ~wen ~rl.a~ over what, W~ eee. 111 D • If @ I<? a <?~U;lr~ what p'ro/?or~ll7n I~ rei/tangle ®~ Kutant3!e,f; o and@~ To do thl~, we mU'7t be a~l~ 1;0 hl7Jed In QUr' mlnd'~ eye" <:l VI<G U;;l I mc.a~LJrln~ ~t:ICk., We. can then project thl~ Image. I7ve.r t'th~r 3fJput!7 vf what we- are dr:awln~, When making f'LJr'e~ vlfJLJal JLJdgment~l 11; IfJ Important -b11;;at;. ;;any preliminary 3fJ~LJmp­ tJ(m~ be ch~cl<eed :agalnfJt wl1.<lt weac-tLJally eee: When dr.aw1I1g from memory, we. mLJ~t be able to evalvate.wl1.at- we. n;we tlr.awn Ir1 lIght of wh.at we. w;ant tl7 convey, • If IlntfJ A,t? Whp1;. oth~r :and B,C. ;we- extended, With pOInt? ;are th~y altgned ~ IZ .' .: '. .r--......., :f··- 11 ····7. 7 • lJ~ll1g the. dmlel1~It'I1~ glVe.-n ab'ove., the dr;aWJrrg to tne.- rr.ght. 1nltfJ re.-&tt,lIr~~ /?oth gu/?dlVldlng and c.ol11rlej;~ mU1twtylng th~ b;a~e Ilne~ alr~.;;ldy drAwn, ;and then rrt')ectlng tru~ge­ dI mt'l1~ 1011;1 Judqmen-t:~ a~ you corn f'1 e-t~ the. d r;a Win try. You can ;ilIM try to complete. fhe. ImatJe~y proje.!/-!;,lng the grId .ghown dr.aw,n~ below; In tf1e. !!t{r~,. _. ~~"i,,~ . - .~'\~~.~ ~,\\, " \ ~,\\~ "~"i ~~ ~\, -- -, ~'\\'\~\,". , , . ~- ,'\ ,~\·\\""\,5\~ , .- ~JA~~ - -----~ . ......-,. := =1::--~'" .;t:V,) '. ~;'~' ~ is': ~\ '\ ' " ..,>~'\..'-~~ . .. . ::'.~/~ -. ,~\ ~\\ , ~\ -. . . . m , \' " 10 dy.Jw a long 11r1& 111 correc--/;; pI"oporclC'n to:a <7horf:.e.-r one, we can ~ufe-nl11f't7~e.­ unIts of the "?horter J/I1~ over' tn& longe.r ol1e lrJ an ;addd:'lve rmanne-r, Wd~h tl1 J'? -tu-I-! n lque, ?ma11 e;.rrore. can ac.c..ur!1u/;at,e.. and re.?uH:: In 43 la,...~~w error In the over'311 length of:a line-. It IS> :cherefore nece~~ary to contlnu;dty c.heck -the. ove;.r",11 mea~lJr'em~n-b ag wepro~ee-d tr7 add Ul1ltS, th~ prevloLJ~ ~JdltlVe;. ~ppro;ach, we C.;;ln begm WIth ;;a whole;. me;a~urement 2nd gubd,vltle It Into a nu m/?e-r cf e1u.;;l1 p.art? The. ~dv",,.d::a.ge;. of th/? method I~ tl1at 1;He.. bll"qe-r' In cC'l1-cr.af7t to re;.l-atltmgh'l~~ are- m:alnt43lned even a~ we dIVIJe. them It1W ~m.;all&r p;wt~. rhu~, large. errC'r~ can be. minImized . rh,? /g a u?eful ?kdlln draWing '3 g~rle'? .?f re.pe.-bI1;lVe elemel1t e-It:-m~ni;?, t1rdlVldlt1g an 1711 ;3 pl"'0f'0rtlon~1 b.;;l61~. ()l\(Xi\.NIZIN(iAIf; W~ ~e~ln to Jr~W7 SlIl·\.lJ]~S we f3ce dUJflIOn~ 3~ to how large -bhe- Ima~e will l1e, wh~I'"e. Ib will be Polf;Itlone-J, and what ,me-nta"bIOI1 It; wIll have. Thelf;e Jutlgme-ntfl ;;Ire. m.;3~V l"el3tIVe to the ~/U,7 ~h.a~, and edgelf; of the ~urf3ee. we. ~re. draWing on. We al'!;p h"ve to de~erm,ne. what 1If; t-17 ~e In&luded and wha/;. om Itte-A fl"d/1'1 wh~t we eee. or enVIIf;lon. fnt'!;e de~I~It7n'!; will affec.t theway we perceIve- the- re-'!;ultlrlg f'1l.Jre- ground r~latll7l1'!;h,f''!; ;and l1e~pilj;lVe ~113re'!;. ~etweel1 f10lf;/t.lVe 1 I~I(;lJl.J~ • (illOlJNJ) Il]~l.ji~rI()NSIIII)S fIgure flo~t?, lIf;o/at.ed 111 3 Ibea of ~pace7 Ib~ ~/"e~&nce J~ emr.haglZ.e.d, rhr~ type if flgul"e- ground relatllmej1hlp Iq; ~iJflj -4;" eee. The flgu/"t/ flt:anAIf; (Jut cle.3/"ly 31b ~ po'!; It IV~ IbH3f1e When <:I emrt:y ;;UPIr1~t an emptY1 d,ffu~e, '!;h3peJe'!;'!; t?3ck1I"ound. When ~ f/~l)re crdwd'!; It'!; l?aokgl"ounJ field or overlar'!; other" ft~LJ/"e'!; 111 It'!; field, d:- l1egln<? fio orqamze -I*te. q,urround (rig fI!"acefl mto /"eco~l1lz.ab/~~ha!"e.~, A more. /n1;e.I'":aCt.IV& and Integrated flgure--ground rel;atIOn'8h1f develop~, VI~u~1 mQV&I11&l1t occur'!; I?etween pO~Il:;IVe. :al1d negative ~h3P&q, 4i)l1d the. re.~uH~lng -j;;.e.I1~IOI1 cre.3t;e.~ v/~u21 Int.ere.'!;t;, 70 Wh~n fIgure .:lnd b.3c~rl7/jnd !:?ol*r h.3v& pO'fJIt;IVe- ~11~pe.. ttLJ~ld~~e~, .J;h~n the figure-ground r&I;at.llm~hlf' b~come~ :ambIguous. InJt'J,1l1y, we m3Y 0&& Cter~aln ~h~re~ .;1'7 f1gur.e.~. The-l1, wren a '7hlfb In VI&wor LJndlir~-t;.;andJI1t3? W~ m:ay eee: Wh;ilC formlirly were /?.ac-l<grt7und q;h;ar~'7 ;a~ 3m~lguou"? r~Ia-tlont?hlp I?e"tween f.0~lbIV& and negZJ-t1ve ~hape,,~ v.311 b?~ de.~lr.3l?le ;;at; 80l11e -blme~ and rhl'7 dl(jtra{/tln~ at othe.rs., de-pendll1q on tl1li rurpo&e fora dr2wlng, Whaf:;eve..r arn !1I.~U l1:;.y e..xl<7f;7 ~hould /?-e- Int.lil1tlimal} not Jccu::ie-tr/;;a/, the.. pO'7ltlVe frgurel? 71 I .. a. (~I{()lJIJIN(i· A eEARCH roT<, PATTERN SlMILAR1TY PROxIMtry w~ eee and draw oft~n COMI~tB of ;,3 compl~x c.ompe7~ltlon of 11n~~ and 0h;;lf~' There. /11 ay t/XI<?t nob one,. l1ut;. 3 wh(Jle. We -bent! -bt' grt'up -bhll1gt? Whlvh h~v& '7ome vI0ual c..h.arac-f:;.erI0tID In common, ~i.Jvh ;aq, a q,lmdarlby of 0hape., 01U" GoJor, orientation, (Jr detail, We. t'~nd tt' group' tf1o~e e-Ie.men~ Wh'vh 2re (/I()~e- t'o~e.tht-r; tt' t:h~ excl uq,'t'n I7f What; <?t//"1t/0 of Interrelated 0etq, t1f flgure..- ~re7lJnd fatte..rn~. How do we make t?en~t ~uc.h a vomf1lex vl~upl If f1eAd '? We eee- npt; IndiVidual '7h;;lfe~, but rather a ~at~ern pf rtl.at;lon~hlpq" ACvc?rJIn~ -b&' th~ Ge~alt tneol"y t?f f&rcept,&'n, W~ tend t&' ~,mpllfy what we 0U" or'1an1z.mg compleX 0tln1ull Inbo 0Imple.t"} more.. holl~tlC fatbernq" fhl~ qroLJ/1lng C;lt? occur accordln~ tt' ce-r/;;3ln fl"l nCll?fe.!5, 72 thoq,e which ar~ brther away, ---. I"j\~ L~'~:';' -. '''J~ ! , ~ .. I \ I , ".,; ~~~". , .- ,JII> w~ und -bo group tile-menb~ whlvn Gontl nue alon'8 the- &al11e- l/rle;. or /11 .4;ne- £:lame- dwtiv'blon, fhe£:le ferctif1;u;a! tendenvlet? lead U£;I 1;0 eee the l"e!;;atlon6hrf? between the V~IrI"LJ'? eremen.t;~ of a compo~ltlon, If the6e relatlon6hlp~ form a relatIVely re~ul~lr 6h.ape ~ p;attern, then they can t'i'"g;:H1Ize tl complex compo61tl0l1 Into a percepi;u21lly I?lmpler and more comprehen61 ble whole. fhe prinCiple tJf qrouf/n~ thu~ hel~ promote the coeXj~tence of unrty, varlet-y) and vl~uar r(chne~~ In a ch'ilWlng, / • • • • • • • • • • • • • • • • • CI../OSIJIll]: Clo~ure rde-r~ A SE:ARCH FOR 0TAB1L1TY tt' ,!;he te.nde-l1tiy for an o/:?e-n or Incomplete- figure- to h:'e- t'J&e-n 3~ If If; were- ;a clo~ed Of" CiOI1'lf71e-be ~md ~b~le. fOl"m. GIVen ;;:l ratte-/"n tJf dot~1 vlrf;uJI iJn~ cO/1nect -the pOInt'? In 0uch a way -that a regular, ~table 0hare. re.~lJlt? ,he0t:IIHt0 are 61111 liar to the- one? t.hat (/omr1ete. a regular 0nape &VUJ whe.11 pt3rt Cif 1;h;a'1; '7h;ape 10 hIdden. The- Incomplete fIgure? tend bp c.omple-/;e. them6elve~ ~ccortJlng to 0lmpllCl1/Y ..md regulant:y of form, 74- There <3r't:- 0ItUJ31;lonq, where. tiVe.n If ;a I,ne. doe~ l1t7t In fact eX/~t, -the mind'? eye- cre;ate~ the l,ne- In an ~t;1;el'Ylpt to regu!Jrlz,e. tJ 0h;ape 3nd make. It vl~I19Ie;. Ihe~t 0een k?ub noneX'10te-nt Ilne~ ~ire­ IIlu"3>ory ::and h.ave np rhy0/cJ31 ba~I'? We eee them In VI5LJ~1 sreee whloh are comfletety hQmogel1e-ou~. _,. . .. III tJ%:m~,...y Iln~~ C;;in \:1e. eIther '5br3lght or cLirved. Whrle -bhe.y 2ppe.2l1'" to define or.aque 6h;;lfe~7 -the flgure'5 C.iilM al~Q l:?e tr3n~r3re.nt. In 311y ceee, what we i:el1d 1;17 re.roe/ve. are tne. 'Slmrle~, mo~t regular' 'Sf;"'LJCi-bure. t1f Ill1e~ WHlvh comr1et;e the- 'Shaf'&. c.4:l11 actlV3te.~ Vlew~ re~pol1~&7 encQur.13.ge~ the. The f1rlt1C-lfle. tf oloe>lJre eCQI10mlC- tJ'5~ I7f Ilt1e~> ana f.rovlde~ 0f!=,ort;lJnI'tles for' gre3ter effiCiency 111 dr3w1ng. OI1~ c~n Ini/e-rf'r~t thr~ Im;a~e) dev'~tJ p~yoholo~l~t Jc?~~ph Ja~tr"w /11 I~007 elwer ;a ~lJtk or A ra!7!7/-I7. ~ Wl1a~ The 0r"u~lnq prJnc.,ple~ t1f ~Im".mty) proxlml'ty) contll1ud::y) :3na c.lo~ur~ operal::e Without re.g3rd for rerr~~enf;3tlt>n~J me.anlnq. -rhey E/ld U~ 111 org3111:t/nq even the mo'?t a~'?br.ac.j;. c?f f'.atterl1~, '?II1C~ the- mlnJ?~ eye con~tantly ~e~rche'7 for meaning 111 wh~t we ~e~) we ~1~tI tend grtlup Ilne~ ;:md ~haf'e~ Into fJmdrar to Image.~. 7~ dtl you ~ee II1-thlt? by 'btl be Im.age. ~ Mei"'ety loc?kln~ ~t ~H1 arpar~n-b'y amt>rrhou~ pAttern can 'Somu/me~ brIng i/o a f'r~r;;ared, Intere~1;ed) and ~e;;arthll1g mlHa a mtlr-e t?fec-Ifrc Ima~e. In It~ 6earc-h for me.anlrr~7 f;ne- mJntP~ eye 1/11:agtne~ :and <appears 1;;0 proJeot familiAr Irnage~ onte? ~~emlngly ~h.are­ le~s p~t/;e.rn~ LJrI/:;J! Se.I1<;;~, that mAkes It- flnd~ .3 /11~tc.h i1IU%?J1 d~~I.grred by f"7ycholtl~I'7t In 1~~O, on~ c.an eee elt-her -the. prtlfil" pf a youl1'3 wom;an or the head ~ ~J1 olJer woman. In {hr? 1:.6. ~orl rrg ('t 1tc?c'G\y~not men-t 10 ~'(" fOrb? W a r\e r-, devIce -For- sf: udy which, al-!::hC'ugh It m",,"y 5eem trlVl~1 ,;:;fn~ Cl {tn",S't ludlC'/rous~ 1'5 nVe:-nt, V(i'[,rlOU~ I Pne. ne ve xtrem:!y' (\~ And tht? L5, when yC'u. rC'ok at vSc> r:th feY" e the. '«\\ a. wall 'Spotted wIth '9tatl"z~., ,you ~/ e e,\(\~ may d.I'5Covcr a re'S~mbLance to vanov~ . fry ~(o0 [and-e;cape'5, beavtlhed WIth. mountaIn'=', r'tvere, Y'ock~, trees.,. Or ~&~rn y~(/ m..ay eee- J5ATTLf;E5 ~nd f~()re'b In 11ctltJf1) OR 5TRANC7£:s F:A.CE':? AND COSTUME? and en to endless variety of objects which you could reduce to complete and well-known forms. ANPTHe:~a APPEAK ON'3VCH WALL? CONPVt7EDLY, LIKE THE '50UND OF BE'LL5 IN WHOSE JANGLE YOU M.AY FfND ANY" NAME OR WORD YOU CHOOSE TO IMAGINE:." Leol1:ar.do da VmCI. cc All t;hotJ~ht Ii? a feat t7'f A~?Ovf~tlon; h:avlt1~ wh;aj;.1~ In front of yOLJ brJn~ up ~om~thlng In your mind bhat you a)m~~t dIdn't know yOIJ kt1t-w," Roberot Fr(7~t;;. f 1 C( "'h~ ~e t Jp I1P~ ~U'k7 b~~.d~52--- «'ffJ1/ CJn (7b~e,!"'ve- a /df;; JI/~f; f(y w11t~htn~," '(0&1 Ber'r;;,. Bt~/>? ~ ~U$ onlY wl1il~ -bhe- rl1lna I~ fr'~rared to compre.he-nd. 7i {(obe-rbson D..aVI~S. 77 SIIj\.I)]~ J\l~]) SlJI\.I~\.(~J~ In addlblon 1;0 the- contour Ilne'.:7 whIch :;;lr~ es~&nbi.al for It? dellne..att.?M J a <?hape ;al~o ha'? 6u!"'face quald;fle~ of mater-laL;> color, and texture, In draw/nth the w",y W~ exf,....e~~ the'7e qYJ:lld;fle~ Iq, through th~ I"enderlng of ton:a! valuce. ihe08 1;onJl! value-e., In -burn, c;an ~e.rv~ to art-Ivulabe ~h",p8, deq;c.rr!?e texbure, model form, and CO/1vey mood ;and feeling. <"> (~~ LINE PRAW1NG'5 ihe line technique'? of hatDhll1.g, crO?0~ hatvhlng, ~nd 6u',l?l1llng .are the primary mean'? With WhlOh we can r&l1der ton... I valuee. 9nnc;;e tt7n:a1 v",lu& I~ e.xp,....e'?~ed prim arll1 throlJ,gh the I"'elabve- proportlc:7n I7f lIght to d;ark area?) the. mot?'f:; rmpt7r-t..,nt tec;.hnI1LJe~ vhar.ac.f;.e.rl'?tlc.~ t7f the~e. are. the 0paCIr1g .anti den'7ltJ of the linear e>brl7ke? u<?e4, 7b The- rrlmary ~urptl~e- of rentde.rln'1 tont~1 ValUB6 16 to dlffere-ntlate. one. <snaf.& fl"'O/11 ;anothe-r. In re.nde-rlng 11~ne07 -f:;h~ vlsu;a/ quald:ile0 of the- 0trokB~ u~e.d t-he-w length., OOI11;OUr, and dU"Boblon will Inherently ctlnvey the na1;;ure- of a ~urfac.e76 mate-rl;al ~nd bexture-, wh~bher ~moo1;;11 or rough, hard 01'" 60ft, foll~hBd c7I'" dull, We ~h"ultl ~Iway~ be ~W3rc. CJf 1;;hr~ Interrelatlon~hlf of bone and textLJr~. Any ref'lde-i""lng tJf texture ~/mlJlt.meou~(y frodLJCe~ .3 tonal value.. In 1110.;:.1:; va'7e~7 thl? tonal v.alue. I? more crlclcal -bh.m te.x-bur~ to the re.preq,enta-f:;/on cJf I1 gnt, 0h;ade, and the w-;.y they model form.;:. In q,pac;e.. :::: VALVE: f'AiTE:RN " ,{~~" ~ ..~ •. jt ~~~",,-;( . .,,,,:,. -, ~ LI(iI-rr J\J.~]} SI-lA.D]~ In rendewmg -/;on~1 value~, we n~tlJr.;ally tend -w c;,ol1~lder ftr~t the. loc;;a! v~j/)e.~ of a fi7rm7~ '8ur'f.ac;e~. L.oc;a( val()e.~ de~c-r,be how lIght ~r dark a ~urface.''? materIal and color ~c;tLJal1y are.. local vpllJe~, howe.ve.~ are modifIed l:7y theefft-et t7f light] 5hade, and ~hac1ow, In renderlnq tonal V.;aIU85" we ~hoLJld atte.mpt to c;,ommunlc;~te th,~ Inte-rrb~y t?f' local v;a!ue, light, and '8h~de.. 80 ! Contr:a~tln'11;onal val!J~ convey way 'I~hl; ;md ~h;atle. model fOr'm, the The. effec.t'? of light on form cannot eXist WIthout 1;h~ Gontr;a~tlng, d;;wker' value~ of '8hatled 5urF.;ac.ee; and th6 '?h:adow~ 1ihe.y c.:a~t. Slnc.~ we draw prImarily wlt.h di3rk mt-d'a on light €7LJr'face?} we define. sreso of i?l1aJe and i7natJow In art :atl;e.mpt -/;;0 J!lumlna~e. ;2re.a~ c>f Ilqkf::;, / .>. ~ 'v L. .... ,._ lNTS}']'5E V5, DlPPVf.iE: LWH1 The w~y light I~ re-flu.ted from a ft7rm'~ ~LJ rfac.~6, c.re:3bln~ areJ6 of lIght, ~h~tle) and '8hadoVvj gIVe6 U~ rmptJt"tant cluee ~o If;~ -t;hree- dlmen~/t7t1al 1lJalJ-blee. l/tJht, however; r~ n"t ~/;;Jtlc., ~omet.lme~ h;iW~h,. 6ometll'ne6 d,ffu£ile., -bhe ~lJ;;Jld~y of a II.ghb 60LJro& 16 r'efle:-c.~ed 111 -the W3Y It dful11ln;;lte6 the. form ;and pe,...vade~ the ef'3C& through wnlc.h we. eee- i;he ft7rm, &d1e~ I7f ;J ~h.ape. ~re. rf!}ndereJ the l1;;iltlJl"'e. Cif a ftwm1~ ~eomef:;ry. CleJrly del I ne.;;iltetl c.OI11;r;J~,.t;~ of v.alue. Imply ibh;;ilrr e.::l~e~) ;.l!1rLJpt turf1'? .at corl1/w~, :311.::1 -bl1e ilium In:3t"m t1f ~ brl'1ht 7 dlr'e~t light:.. &r.adu~1 tot1:a1 How the. COl1vej~ ~h311t:1e~1 0/1 the Other hal1d~ convey qel1t./y curving fot"mi&, :3nd the- dlumlnatlon tJf tnClweot 11~l1t, 6Cift. edg~, ( HIGH KEY MED1tJM K!W L(J'N KEY The r.ange and pattern of tonal value~ Influeno~ the weigh", balance-, tlnti h.armony of a dr.awln17~ comrCl~ltICln. Sharp contra~J;0 rn v;a!u& vIVIdly define ",ntJ ;aUrtlof; attention 1;/7 &h;3re~ In ~f'..ace7 The re/;ablve p;>rol7orhm c>f I,~hb and dark valves and t.helr plae-emenb In a compOSition prOVIde.- a bon;al key for ;3 dr.awlng. A metllUm ran~e t7f v3{l)e~ h;;l~ an Inheren-b feelIng of harmony ant-! b.alance.. A f7redt7m Inanbly Ilgnt ranget?f v,;alue~ can convey delicacy;. e-Iegance, ;and aetlt~ a ~ense c7f dr.ama, A l:'ro.a,d ran.ge.. of ton;al value-s, with In{;erme.dl;af;e. V2!ue.~ providing ;3 h~h-be;~t bo tr.ansltlon from the, the d~rkesi;7 .ar-e VI~LI.al/j 2vtwe .and animated. Clo~ely rel;:l'ted v..alue~ tend to I?e more. ~LJlet. 3nd a sense of illumInating lIght. A moder.ately chwk v;l/ue range c:an givea tJr.awll1g :a 6en6e of he;avlne66 fl-"om a bove, .a feel I ng tlf ~a bdICy :and '8treng th I?dow, or rerh:ap~ ;3 perV.::lSIVe.., fri7n1 6c7ml?er qualIty. A 6hap~ ~y Itne~ I~ a vl~LJtl/ly percelV~d area bt'untl or edq~ "f contr:a~t, A~ an Image, '7hafe 1e7 eeen relative to the 6P.;le::~ 0urrtlundln~ and It .and ldentlfletl by 11:h contour~ th~ f't,.bf;~rn of Jt~ '5tructur.a1 fe;at,ur~~. Th~ n;atur~ t7f the~e p'af:;~ern~ ;and c;ontour~ ~ -the ~y 1;0 our unJ&r~t;;andlng of what. 6hare~ ref're~ent In ZI draw/M1' ~-------- dr.awln~ the. contourti7 of what we 6U, w~ e-mrha01Z:e. the n~t;.lJr.at appear3Mve 1f In ;a f;art,c.LJ!.llr tl1ln~ frpm ;a ~rulflc fOlnf; of VIew, 1he. contour Ilne~ defll1e natur.all~­ t,C i7h;are:,. Whether;;l n31:;U r.aIwt;lc 0har~ cOf1vey~ what I~ 1'8 6>uppCl~etl w] however, depe-114€> on C1n~7~ POint of Vlt-W. Som~ l1~tur;all?tlc '?n2pe~ rtq.uJrc. ~h Jild In~, c.dlor, .and texf;ure.. tu fill (}l)t;; their form ;:md rend~r -bhe-m reco~~ nlz.3I1I~. Other'8 ;;;lre ~LJcc,ei7~fLJI at repre'8entll1g only :;;l Cl;;;l~~ or c~-begoI"Y of thlt1g6. 5tlll other€> communlc~i;e­ th~lr ~feclfJc Idel1bd:j q.ud;e ea~lly' WIthout context, - In ortler to C;OmmIJI11c.ate- more effeui:we- Iy, we c,.,ln ab!71:f"'ai/t: 11-a!;ur..a1 Ji?tIC e>h;ape~. All dr2wmq J& an ~~.;,tr.ac,1:;Jon .:?r realIty. 11'1 the- froce~~ of ,,!:1!7traC1:;10rT-7 we- om,t:;. by oholce. or clrcumq,bance. C8r'taln unn~ce~g,ary det.all.:;" ;md we ret2>ln only tho&e e~~ent:lal ch.,w;cterl~f;lc~ or 6trlJc,tural fe.ature~ of ;a f;nln~ whIch dl~tln~LJI&h It. from i7ther 1;hlrl~~1 ihere ar&, I7f Couri7e, varY'I1~ de~ree~ vf a!?~tr..actll7l1. ~y ex;agqerat/cm, we can empnal?lzt; om:. or more feature~ of a tnlng. rh/~ tiell!1era/;e dl~ior'tlon can <31~o /eatl to Ideallz./t1~ 6hapeq, of thmg6 by removIng perceIVea def!clel1Cle6 111 what we .;,ee-. 00116/i7tel11;ly ;;3rr(Y dl~torhm or exa~qe.r;ablcm t7ver al1 el1tlr'e dr.awlng, we 0'/;yf,ze ;::l comro~ltlon of 0h.3f'e.:? while- 1"e1::;;m1/11~ -the pIctorial q.()alltle~ Whel1 we ~ the. ~ource materIal. The- ~haf.'e, tll~e-red '* an obJ&ct I~ nece~~<3r"y er tr3n~formeJ I::'J vlewlI1.g tll'7' tanc.e- and ~ngl~. rhl~ may &Imply be a c.h~t1ge In ~Ize ar la more corn ~Ie-x -br..an<?' formation pf form relatlon&l'1lf5. w~ can rrever~hele~& Identify thlnq~ eve/1 whel1 the partIcular Im;3ge~ we eee: i?h 1ft and move, Irl our percej:'b/tm, rhl'? fhenomenon, known se i?h;;lfe con~tat1cy, en~t?le& U'7 -be:? tjr.a&r the -structural feature!? t7f I?ome, thlHg Jrre&pectrve t7f how It may affe.ar 1/1 re~llty. Shape con~bl1cy provltlet8 the.I1.a'7I1? fp/", our U~e- t7f ~h.ape~ ae '7ymbol~. In .develof' Intj ~ymb.?I~) we. dl'7tdl frpm ~hlff;ll1g vl~lJ.a1 event~ 1;ho~e- Inv;arI3~le a~f'ect'7 whlc.h sre /11earrln~flJl t't? U?7 :an.d whlvh dwt'1111LJI&h ~me tf1lnq from "H1othel". 5Jl11l::'ol'7 ;are. therefo""e rer~I'7tent ~h.ape'7 which 3/"'e b~etl on '7lgnlflc.3n1; cot1-t-oLJr-s ;;md '7-trlJctu raj fe.a1;;ure&. 1 + \.J -) x • • --~~ , Repr~~~t1t3tI0I1:a1 ~Jmb17l~ tl/"'e ~lmrllfleJ plcture~ t7f wh3t Hiey repregent. 1'17 11e me;3nln~hd] they mu~b /be gel1~rJjlud yep e-mb1ody the &tructur:al feature~ tf what they refer to, HI~hly :ab~t;racb ~h~pe7) 17/1 the othe-r han'J, 0311 b~ 111 .a~prlc.at/on) but; lJ~u)lIy need cC7nteX1; 01" captltm~ tCI fully expl.~/n broad a wwy When '?ym~ol~ ~ec(/me more abi?tr3ct IC7~e- any vl~u;31 CC7I1 ne-ut/on -/;(7 what they refer, they become ~/gn~. 51~n~ refe/'" bp 3 thIng t7r Idea wIthout reflec-Plng al1j of It~ vl~u~1 charac.terll7f;lc~. They can ~e- underi?too.a :al1d only ~y Ci7mmon agreement or conven 1:; I C7M. their meal1ln1' PJ1 Afiier Honori B~~lde.~ r~pr~~~n1;ln~ whpt we eee or a ?h;;r~ c~m pleo &XI~J:; ;a~ -b11e. underlying requlaf;;1111 frame-work fw;a comp0<?JJ:;/l7t1. Th~ I/ne~ whlc.h define sn or1~n/zll1~ '?hafe .;Ire. nu!; neve?~arl[y '?een. Y~f:; we C311 '?en~e. their' e,)(I~te.nC.~ :a~ tl1ey e.)(pre~~ the r~l~tlot1<?h'f~ ~ef:;weel1 th~ f3rt~ of .;I ~re3ter wh17Ie-. enVI~I,?n) 88 When lJ~e.d to expreq,f? gtrlJctlJre. 7 ~h~pe, tentl~ to ~e. ~eol11arlc3l1y il?lmple. r.athe.r' th~11 c.amp/ex. Jhl~ I~ 1:::0' 1113ke-1:he. orq<mlz,/n~ <?h3fe rec"111It.able. d/}~plte the. v/gu31 aHrac'hm I7f the. more. clearly tdefll1etl g~.aF7e~ wrllc.h COl11prl~e 3/1 Im3~t:-. /he. 113tUr'e of the. o,..~.an,zll1g ~h3pe- afFut':7 our- perc,errC,on tlf 23 drawI111 camf?0<?/1;lon, ;;md Jete.rl'l1,n~<? whethew we. read d;:.a~ ~lmP.'{~ or complex, re-gular or Jrre~LJI;a/", &bbc. or .dyn.am/i/, D.2WI111U· Cbi ° '~ • • . . ,'~ '" '~ '~ • When ar.awlng wh.aJ; we i7U" a l1uml?er of corn pO~/t~on:31 rO~~Il?dd;IBII? may &xl~b. th~e, we- det;erm tne- thoq,ewhlc.h :3tt;I"'..acA: our .;attentIon, Theq,e. form a "7e-t of VIJ?Il?/t- rt-l;atlon~h Ip,? znd th~ P.'~ttern tJf bht-tje, vlII?ual fpret~) 1P e.v.alu:3t& a~pec.~q, In tlJrn, tiefrneq, ?hape~, We ~ht7uld examine tf'1I:~~& rer.a/:;I0I1~hq1~ .;arrd tne- c.ompo:;Ji~lon~1 po~~d~lId/Ie.~ H1 -berm? t?f the~e ?hape6, Even when drJw/ng wh.at we- e.nVI~IOrt, we c..;an u~e. '8h.;ap'~ In thl~ manne-r to organize- our thoughb~ hllt'Je~, and ~~ru~ture PO~~I­ .. s» ~~>(" .. : "," .' / I I i / ~~ . j .I :, / ! J ! \ t---o.-- ~~ .~ .... , \ .. - , " :..v ; : .....,~ __ ,..._~.w_ ..." , )o,,:~w-1 lt2::z:L=;~~¥E,T~~~~~~··:~i . ~ ~ :.:-: :_: :,_ .....- .. -. ~: . . I)I~ r-rn run Wh~n J-Ur-l' ()l~ II.JI.JIJSI()N we draw, we .attempt; to 1ir.ance>e-rl17e a~r.e.ct5 I1f ~hret--dlmen~lonal reald;y onto a flat SlJrf.ace which hae cm!y two 2It'nen!?lone. The reslJltlng ple-1;orr;a1 Image.:; can pe amblguou~ for whate-ver ~pac::e .i3nt:! depih we read In a dr.awlng I~ dlu6orJ. Certain .arrangemente pf llne~, '?nare~, valvee? an.d -f::;e.xt.ure.~,> howeve-r, have the rot~Mtl211 of conveYing -the. ~f'atlal ;;lrr.<lj of <oolld form~ In 6p.ac.e.. It; all der,tmde on how our vl~u;l1 ~ygtem lnurrre-f:;~ -the. drawn Image. In ordCtr 1:;0 Gonve.y thre.ednnen61on21 form~ In ~f'ace. ;;lI1CJ derth In our dr.i3wlnge, I'Ve. mue--f::; rna~tG-r the ;arf::. of rllu~lon, We lIve 111 ZI thl"e.~, d!mel1'7lonal world of obJe.t-te- and ~pac&. O!7Jet-1:? ocwPY, define. the-Ilm,te- t1f, Zlnd gIVe.. ft7t"m to 6p3c-e-, Space. the. othe-r h~nJ, ~LJrrOLJnd-e> .;and artlcur.a-bt.e> our VI::;IOYJ t7f oI?Jeci::::;.. How can we. rept"e.~e-nt the- thre.e-d Imen'710t16 of rt-a!lty With t-wo,d,met1::;lonZlI drZlwlng~ r 011 --------- In 6u.lng '?t1;3ce) we re..aJ the. re.l;;tlon' !?hlp~ !7etween form? 111 epZlce. In drawing the.?e. 6pat/al perce.pt'It7I1?, we. vreate plctorl.al ~p.aCie. f'lctorl.a1 epace. may be fl;a'/;.1 du.p, or 3/11 bl.gUOU'7, but 111 all C;3?e.?, ,.f; 16 illusory. It eXl6t::; on ;3 two-Jlmen6Itm.a1 ::;LJrfac.~, !7ut there. are. fundame.ntal -bec.hn Ie::ryes wh/(ih trlg~e". c7ur V16lJ.a1 ~y::;t-e.m to re3d what we see a6 h.aVll1g ~erth In the. bhrrd dJmen~lol1. The.ee tec.hnlquee ;are ba'?eJ on our re6p0I1~e to c.e.r/;all1 vI~ual pattet"'f1'7 of line?, 6h;ape~, v.alue~) ana be)(/?u res. Under~tand Inq the6e te.vnm1,ue6) we can trr23ke. an Im.a~e ;arf'ear t-17 proJevi; fl7rward tow23rd tne vl~er,? or recede111'1;0 ~pace. We c.m make a form ;ar,peZlr flat or volul11e.trlc.. We- can e'?t.abll-e>h tHe i?17atl.:l1 rel.atlOn'?hlp6 !?etwun fl7rm? • An Int.ere~blng rercepbual phel1oment7f1 ability tt7 Ignore. apparent dJfference~ '/1 -actual ~IZe. 1/1 order to Iden-blfj IfJ i7Ur" aHd categorize 1;hlngg. -rhl~ phenc;me.known a~ ~l'te ,:w ol?Je.cb c,ol1t7bncy, leaC:1~ Uq; to pervelv'8 c,.at"egorle? elf oI1Jec;.b~ 36 unJform In t?lze wrbh C0t1~/:;4,mt; color ;md texi;u re, regi3I"Jle5? Cif whe,I"e•md htlw dl6tant -bheyare.. nOI1, Two Iden-blt:::al ok7Jecbt?, 170bh equldl6t;mt from ue, will appear t"o be the 0.-ame ~IZe.. A~ one movefJ away from U?, ,-b WIll appe.;ar' to d,mlnlt7h In '5IZ&· Th!~ Jpparenl; t:::h:ange. In ~IZe. pr'ovlde.~ U5 WIth a Vl5LJJI due. 00 depth. When we- eee two Ide.n1l/c;;3! t7r like.. Image6 of jlffer',n~ eize e, bh& larger one. will pr'pe.ar bel be clo5er anc::l -bhe '7malle.r' tine. farbher away. \ Two over):<lrpln,g ~h~re~ c-reate .;;In dILJ~It7n of de~h ~1f1ce we tend t.? eee one. I?hapeat? 1?eJt1g In front of, .and c.onve.a!ln.g frc>m our vIew, .a l7.art of .anoth~ behmd It. f;y lt6e.lf, overlarf1ntJ vrt-af;~~ very "7h.;3ll~w ~racee>, A greater ~t5n~e of IntervenIng 6p.ace and tJe-pth c~n be ;ac;.h/(~veJ when overlappIng 1'5 c.ombmed wIth iXhef" dqtt;h cue6 6uc,h ;3~ ~p.atI31 ed~t-~, ~hIH~ In t~xture. or v.alue, .and oon1:;1n LJ'0' t?f l,ne, ,\... --- 1 ........ - ":, , , " --. o '0 o ImagIne ~t;3I1dlnq 0/1 a flat piece CJf ground. AfJ 1'1; reved~g, rnto 1;he dl~t:ance., tne grt7und plane Jppe;;Jr~ to move upward -t'ow.ard the horIzon. ObJect~ on the ~ro(Jnd will a!fJo f;eem to move lJfw.ard afJ thej get farther awaj. rhe-refore, If We want somethIng to be read ab dlfJt:..ant, we can move- It lJf In the drawln~ compOSitIon, The nlq,!-jer f;ol11ethrnq /6 In the. f1cttJ/"'8 flane., th~ br~her away It will Jr~e.ar {;;o l1e. We c;an bhu€1 cr~ate ;a 0t;ac.ked ~tme0 C7f Im.age~ WhlC,h, when combined WIth both fJlze dIfferences and over- lapping, cOl1veY<8 2 <space .and depth VWld ~811~e t7f Ae.mal rer~fect(ve. I~ ~a~ed on the. <:Jonenlng q,ual1ty CJf the Il1tervenmq .air' or atmo~phere. between vIewer and c?~J&&t? WhlCih affut'O how we, pe-rceIV& the color'?, vsluee, and contour~ ()f dl~t.:mt -I;h,ng~. A~ th I n~~ get farther ;;way, their volor~ ~e.vome. le~;;, Inten<:Je ;;md more. mut;e.d. ihew valLleo become-lighter and qraye.r, {therr form;;, more. dlfflJ~e and b/ul"rYl thew detad& le&& dl~tlnc:/:;. In the ~.aCikgrounJ, we eee maInly gh.ape~ WIth grayed 1;one~ and hLJe~. By c,on-tra&t, {t!1111t36 ~een up c105&7 In the. fore.qrounJ of OIJr vl~,on, have 1'r10M 6aturabe.J color"?) ~t,...onqer v.allJe c.ontr.a6to, more d I~tlnct outlll1e~) ;and t?harr1y deflm~·d d(/b.aJl~. A'7 ~ t;>urfJc,~ texture- re-veJe~ Inbo th~ dlg,t:3I1Ce., there- will k1~ :3 gra~u:al II1c.rea~c. 1/1 ~he- dem~d;y of the t'exture., Thl~ Ig, Ja re6ul-l;;. of the dlmm'~hln~ ~/Ze. tjg, wf711 a~ the. 6pac,lrI'1 the. &Ie.me.nt? whIch cre.ate- f;he textIJr,- we ~ee. * for e-xam~:de, when we. YI~W a I1rlck wall up c.lo~e7 we c.an eee l?oi:h the Ind,vldu;al I1rltikg, .and the- thltikl1et;>~ c7f the.mortar JOIf1't~, A€J we. move :3w:Jy, the- ~rlck~ /?ec;ome 6tt1.allcw :3nd t'he/ mc7r~ar JOII1t.~ turn In~ Ilne~ un-t;r1, from Ja d wta/1Ci&, t'hey merqe. patbern, Ir1f;O a textured ~111~~r f&r~p~c-tlVe- I~ prob;.ll?ly wh;.lt; come-€? ~c7 mind when the. te.rm per~putrve le;, u~ed tc7 Je%rlbe. pIctorial vlew~ of oUr' three- d,l11ene;,lol1;.11 world. Whrle u~efLJI In arawln,g IndlVldlJ;.I! c7bJec.1;?, /Inear pem~p'~c.iIVe. I~ particularly adert; at: dILJ~tr.at:ln~ <&p.atlal reIJblon?h/p~ In a /11c-l;ol" la I manner whlc.h can be readily under0t:ood, When c.om~l/1e.d wIth the VI!7U;.I/ dert'h t1ue~ prevloLJ~ly dlf!c;.LJ~~ed, IJrlear p~r~pet:tiV~ qJYe~ LJ? theabilIty to cre3f;;e a VIVId JlILJe;,lorr of threedlm"I1~lonal ft?rm~, t?p;ac.e, and depbh 011 ;a fli3t: dr.aw,ng ~urf.ace.. .. ---~ _ . I !I / /...ll'1ea!'" per~pe(;tlve:- I~ 11.a~ed 011 ~h~ JLJ~1; de.velo/1ed bJ!7ed on ~he~e law~, 3 /1er'?pec'blve dr3wln.g I') t1ften ev;alu.-te.d <&ofe-Iyon the Ctorreotnee;,f! of ,ie> CO 11 !7t: rlJ£;;1; Ion, We !7houltl, however, ;al?(i LJe>e- our eye..e> ;and nut' entru<&t: the dr3wn Im;a.ge 1;0.a mdhod of and .accur.abely JlILJ0tratee. {7/1e,7~ P()/tTt of VIew Without dJ01;;Orblol1, The In"be../1-1; he-re I~ not to deta,( the- mecha/1lc",! l;awe> tf preCl6e:- con0t:ructlon methodt;. whIch have been ~MmdrJ' ~e.c.aue>e of 'bhe con ~trlJ(/tl on. bec3ue;,e:- a per~pedlve, If! me1;lc-ulolJ~ly Cion0truc-tetl d()e,e;, /1ob me:.3n ~nat the dr:aw1nq appro/1rlpt~ly C{7I1~truc-/ilc7n ~ per~peC1;lVe'8, !:Jut rather 1;17 deVt~I(ir an unde.r~t;anJlng c7f pert;.pectiVe- ele.me-nf;.~ 3nd prlncJl7le? wh Ic.h will e.l1able u!' -f;Q draw freehand per~pe:-c{;.lVe~, -. . -._--.-....--+-+-+-------1r-t-~r__-_T : oo~--___---OL-.-------------+ Unde-r6-bandlng r,e.r6pectlve le- f1c7f; abe-oILJ~ly ef7~e-n-/;;,~1 In drawing what we ;are able to eee. We C3t1 Il16te.ad rely 011 the 3Cl/Urate depll;-blon C7f conwur 11I"1~ and the r:'0~d;lve .and nega~lVe­ 0hape? they Clef,nc:,. However1 In orde-r to tr;3110ftJrm the6e- Ilne~ and 0h;3f.e~7 dl%cr/be- their' 'bhree'd'l11en6Iol1~1 form-s, al1~ ItJ~a[;;e them properly In sp.ace7 weq,hould LJnderq,tan'd the eAement0 .3I1d ~JrInclple6 of I,near per~pectlVe. Thl~ Iq, par-blcularJy Im/?ort-.an!; If we want to go beyond c:,xte-rnal arpe;arance~ ;md LJI1tler6bnd the underlYI ng ~eome-f;rj ;mt! 0tructure cf th I n~~7 a0 deflnea by the line? which de6ct'll1e and re~LJ)ate tl1ew rel,atI0/10hlpq, In 6pace. f ! x z L---------""""""'··.. . . . . ------ A~ It~ name- Iml"lle-~, line;;/" per'?~evblve. I~ concerned prlm.m[y w,.t;h the dr.,wlng of /ln~~ Ir1 fer.:? pect IV8. Many of the5& fer~f'e-ctlVe 11f1e~ do nClt:; rerre'?en~ vl'?I~Ie­ contour"? I1Ut: r;3f;hlW de%rll:18 the ~~ruc­ ture- and geometry of three-d/t't1el1~lon~1 form~ ;;na tnell" locatlong I n ~face. rhLJ~> the "lu~r.,tlol1<? In in,'? 6ec.-blon ut.illze tne famdl;3r geometry I7f the- c;ul1e .,6 :a l?a61~ for d~%rII?Jng -t~ru,-dlmen610n;;J1 ft7rm~. 100 Wd:;h the vu1?e, W~ C3n mea6ure -I;he thrce dlmen%::)/1~ of thll1gg ~lmult;:lneou61y. More 11'11 pOI"'1;31'1-/;IYl we C3t1 tJ"?e. the- c.ul1e. tt? .de6crl~~ :a variety of form~1 ft"om the.5/mple6t to the m06f; comf'le.x. rh,t£, redlJctlol1 of form-6 1;0 -their compon~nl; qe.ometrle'? and the- me.a6uremet11;; of prt7portlon, %318, ;and relablon~hlp~ In gpac.e requIre 110th ;;:1I13Iytlcal and Vf?lJ31 tl1ou~ht. .............. 10 ' 20 fu; away rrI-I}~ ~-------- ]~LI~l\'1BN1'iS ()l~ l)l~l~Sl}J~errI'T.: : C()NJ~ ()l~ ,TISION For .:;11 t7f If;~ 3pfare-ntty dyn;;amlc- .q,ualttle6, a per~pec.t1v(/ drawing J~ a ~Ingle-, i7ta1;ICt Image-, fixed In 1;/l11e, and i?een from a 6petilhe ~01nt tlf VIew, On~e- we f,x our VI~VVrOln1;-7 1;h~n tl 1101"/11;31 flelt! of VI61011 ext;end~ like. a cone r~d'2:lbll1g ou1;;w.1rd from the eye. rhl~ CiOl1e t7f VI61tm c0I1i?I'?b6 of l,ne6 of i?/ght whlc-n form a 1!7" ~ BOO 3ngJe with the centr.;a! aXI6 ofv/~,oJ1, Thl~ cone of V!t;IOn i7houltl 6~rve "'63 gUide whe.n we d~terml ne our vlervpOltl't: and wh;;a-f; l~ t17 ~e Inc;/ud,d Wlthll1 tne. bound~wle6 of .1 r.er~pectlVe draWing. Only 3 6m31l portion tlf the Immed,;;a!;eforeground fall~ With In the cone t7f V1610n, A6 I~ reaCihe~ out to gather In wh;at weeee, If; w,tlel1g. ,1';6 fIeld, al1d the mlddletJround 'tInd l1:<lckgr/7und l1uometrIl7re- eXj:1anlSlVe, 101 / . / , / . c-: ..---.-_._---- fl1t plttur~ fl~nt- (p.r.) !~ alway~ p~l"r~ndlcul;3r to the- o~~rve-r~ central lin~ of ~Ight;. (ill()IJND Wh~t1 we dr2lw a per~pe.vtIVe:. we tr3n~fe.1'" onto 2l drawln~ ?urbw WH2lt we. tjtt/ throuqh an Im;agIt13I"j, i7r.3n~pJret1t pIcture. pl:aMt-; the- dr2lwlng ~urf.ave-l1evomt? -/:;he- eq,lJlva/e-nt of the picture- piane-. rhl~ picture pIJt1~ cut? throu~ 11 the. c;.on~ I7f VI~IPt1 ;;md 31w3Y~ rtm:aJn~ pe-l"ptndlcul31'" {;p ourcel1-br.31 line of tjl~ht. fhu~, If wt 5111ft our line t1f ~Iqht lefb or right, up or down, the picture plane- move~ It. w,tn fOZ PI.JL\NI~ (G.P.) The ground e1ane I~ :a nt?rlzon-f;.al pLant of refere-/1Cit from whIch n~l.ght~ 1/1 per~pec­ tlVe. can l?t me3tjured. It can be the. t.p"pu1"1d on wl1loh the. viewer '5f;~H1d~, the l:ake tjurf;ace on wl1/vl1 a b02lt I? ?3J1111'1, or tht- pl;atfot'm on which 2l build Inq re~~, It c:a11 31~o be. the- floor plal1e when ar2lNlt1q ;an II1C-er't7/" ~p.ave-, or even -l:the wp I7f .a ttll?)e, when dr.awlt1~ .3 ~till life. View from a i?/xth floor wIndow I-IOIIIZON LINE (fLL.) The norltt7t1 line- run'? not"ltont:ally ;;3crog~ ~he plvtur8 /11-ane. and corregponai? -{;I? the vlewer'~ qe le-vel a17ove- '!;he qrounJ pl"n8. For;:3 norm-al eye-level rer'~/1ectlVe, the. horizon IWle 16 ~t the ~b"ndlng h/,;Iqht t::ven If not" 3c;tLJ~lIy eeerr, the. norlton IH'U~ e;,hould ~~ droawn 111ht:(y acrO~6 the. dr.awll1q 6urface. to <.?e.rve. .a~ ;;l level /Ine t?f the o17<.?eI"'ver)g eye». It move6 down If we <.?I~ down In a c;h-alr'j 1'1;; move6 LJ/1lf we look cll.d~· from a <?econd e;,tory window, It; "f referenc;e,. wr the entire. COtrlP06ItI0I1. Any ht7rlzontal pl.m~ wnlch lJe~ ab ov/"" ~ye level wdl17e "een .a., ;:3 line COinCidIng with the horizon line.. We Will eee the. top6 CIf hbrlzClnbl/ pl.me~ whlc;h lie. /11 olm/;: ,:lI/1to p. 6lde~ rlge~ 6tdl further If -the.. View 16 frt7111 :a 11e.low the ht7rlzPI1 line 3nd the. Imde.rof ,/;ho~& wh Ivl1 are .a~ove.. COl1v e l"qe-ne-e. I~ the- pnmary dl'?tll1gul~hlnt:' IIl1e;ar per~pe.c;tlVe.. A~ two p;3r3 11 t'f llM& r~cede. Inw the dl~t;an~ the 6p;lce ~ebween 'lihtml wd I .dImIn I~h ;and tihe.j Will ;appear to conv~r~e. If {;he Iln~~ are. exte.l1d~d to Infinity, th~y will 3pre:ar to me-et ;at wh3t IfI commonly termed a charac;terl'5tlv o v3n1 '* h'ng ro,n". --~~-~ / / PI;me~ paraHel to p'l~ture flane- i/ the-It" ~hape. blJt- dIm Inlc:;h In ~'te 3~ they re.u:de from re.t3H1 vIew-er. HORIZON'trNE -- i5/}i of p'~r;lllel Ilne~ ha~ It~ C'wn V21n,i?hlng f'0ln~. Etlch flr~1; ~rlnvlf'le of c.Ol1verqenc,e )<? eat:i11 se.t ~ ~.-aralleJ Ilnefl h;ae> Its own v.anl~hlng pOln-b. A i?et of f;ar.allel Ilne~ c;on~I~f;€> G?nly Of tho~e. Ill1efl th3t .are p.ar3/lel t"o ontal1ot;her. If we, 100k.pl;;;l vu~e., fore.x'dm~I~, we can ~ee 4;h.tJ-f:; It.€> e.d.g~ form tnru. fhe 6e.b6 of f.tJr;lllel 11 ne6 - one vert Iv31 e>et .-and two horlzont;ll ~eb6. prCTV~E LlNt::ce PARAL.!.-EL 'f0 PICTUR.E PLANE: LINE.'? PERPENDIcULAR. TO If rayallel to tne. picture. pl:ane. ~nd re.rre.ndlcl,dar to 17ne. obe>e.rve.r)~ ce.ntr:al line. of ~Ight, ~ ~e.t of parallel /Ineq; will no!:; appe.';ilr to conve.r.ge.. In'?teZld, It will re.taln )f Zl ~et of p;arallel Ilne~ I~ pupet1dlv!..J/;;w to '!;he plobure plane. ;;md ~ht;re.ft1re pJr:allel With th~ oh?~e.rvt;r'~ ce.t1tr31 line- of t7lght, Ite. v:anl~hlng pOint will cOlnc;,~e:- WIth thepOint whe.re- tn~ ce.ntral line of ~I~ht; me.e.t~ I/h& norlz<?11 1111&. THI~ pOln~ I~ known :a~ 1;;n~ ce.nter e:tf Y'~lon, I~ orle.ni;~tI0I17 whe.the.r horlzol1f;al i vert/c..,), 17r Ine-llne.d. E.avh Ilne7 howe.ve.r; WJ 11 v;ry In appare.l1t lengt.h ;accord 1t1q to I't~ dl~t:at1ce fl"'Om the. v/ewer. PLANE: . : :.r: ... - ..-, - ... ~ ... ~ - . ...... -..... ~ ,~ " , . , ~ ~'.: <. ~\.~.:::::.:-- i \ . \ \, \ , .>: .. ~ . -: \\ -» I I \ \ \ : I I I " I I .. I • ', I \ , I • , ', , • \ t I I I • " , '.• . , II I '. " I \, \ I Vant'2nlng p'OIn0 for IIM'? 010flng dQwnw.mJ ;3? ithe-y rec~d&. Inclined %ree.t ',:.: V,PI3 LTNE5 OBUQVE TO PICTURE nANE jf a i7et I~ 17~11q.l)e W i;he- picture r1ane.7 ~;Jr~Jllel !Inee. will ;appeJr to ccmverge. tClw;Jrd a ell' m mon VJnl'?h mg POll1t P'3> It'll they rec.ede, If the e.et I? horlzorrf;;;I!, /t? val1/'3>hlng pOInt will lIe 60mewhere on the. horlzcm I,ne- 81bher to the;. Idt; or bo the. rtght, depending 011 -the dlr'ectlt7t1 of the. 6et ;J~ It rec:;ede6 fri7tr1 the- Vlewe1': If the 6et )"16e6 upward ai7 It recede.::> from the. vIewer, then ,be;. vanl6hlng pOInt. willl1e above -the hOt'lzon line, dlrec-t!y above where It would conver~e If If; were level. If the Q;U 610pe.::> downward J'3> It rec;ede~, then It? vJnlQ;hlng pOInt will lie ~elow the horizon lIne, dweci;iy below where It wouLd Gonverge If It were Ie.ve-L 10J7 Another dl~tln~LJI&hJng on~t'3c.te-rl~tilc IJne:ar whl~n ~-er~p'evtrv~ I~ fc?re~hartenlng '* 7 refer::; to the 3rrarent vI1311t3e- form :an ol1Ju,t untlergt't!7 In In p'er~r~?tlVt/. I~ u~u:al(y ~een 3~ 3 con-br3vtlon In ~It:e-, len~th, or de~h 60 that ~m IlIu~lon vf pt'oJec.tlon or e..xtel1%?11 In ~pave I~ 011, It t3lnetJ. Three f3c.torf? affu-t the degru. df fore~hort~nll1g we. eee In re-r6f',-ctlVe-. R,ELI\TTONSHl f' TO CE:NTER. Or Vr~lON' Fwo/t the. cl06er :and more r3ral [e! ;a line- or rl;ane I~ to? our venter t?f VI?IO/1 7 th~ le?::; we will eee df Itf; lef1g-bh or 5urfaoe :and the- l11of"e- comrre~eJ 7 will ~e- !f;&j apparent depth. pr~TANC£ FROM VIEWE:Y;;: Second, the fartn~r- away a Iln~ or I?lane- I&jJ the le&j&j !Ve wl!! eee .?f rt&j le.ng-bn or &jurbce :and the q,horter or fl;atte-r d;. will arre.ar- 1:;0 b'e-. I 6 ( ~ . _.D zt7'~ t<:OTATfON' rhlrd the more a Irne or p:!ane7 le> rot2ted 3way from U~ ~nd -the plt:ture. rbme-7 the. or tSlwfaoe. le~5 we will eee- pf rt~ leng-th 111 addd;Ull1 1:;c7 /'/;'0 effevt 011 the- ;arf~rent form of I/l1e~ tlr f'1~n~&7 fc7r~0hortenlng C3n ;;3160 comrre6~ ~p;:3tr;31 r~I~!;t0t16h/f'~ 1/1 .:l rer~rev­ 1;lve draWIng. 107 rfYI))~S ()l? I.iIN)~\Jl. PJ~I\SI)]~(~rl1I'T]~ /he edgetl of a cul1e- form three ~et~ or f.'~r.<3l/el Ilne~ -- one- vertlc~1 ~nd two Horlzon'bal. f.ach ~et" hae It"~ own v3nl~h~ Il1g pOInt 111 per~pectlve. Ba~ed on the~e three major ~ett! of Ilne~ ;md ~he. rvlet! et conve.rgenc.e, we can ?ay there. arethree 'bype.~ pf Irne.ar perBpectlve-: 1-, Z~, and B· pOint per6pecblve? What dl~· tlnglJ/?he~ each type- /~ ~Imrly our fOlnl; of View. The ?ul1JeCit matber doe? not c;114imge, IUe{ ot)r View I7f It" and how 1II1e !let5 Of parallel Ilne~ will appeJI" to conver~e, _._- ..--:'.: :.--".--- .. - - --". " -<, we View a vube WI1fh t'IJr cenbr;;;1 line of to one of l'b~ faCief), the vert,cJI and horizontal lIne'? whIch are par4iilllel w/1fh the- p,e1iur~ plane rem arn vertl Cial .and h,munt;al, Tho~e. horizontal Ilne~ wh,d1 are raraJlel WIth the Gentr...,! I,ne of ~Igh'b wd .apfe2H" W c,mverge at the cente-r of VI~lon, fhl~ 10 the one fOlrrb referruJ to In 1· pOint If ~lght perpendicular per~pecT;;lVe. tot> If we ~hlfb our VIew ea that the ~;;;me­ cul1e I~ vIewed o~llttuely but keer. our central /Jf1~ ~f ~11ht norlwntt3 , -f;he. Ye.r'blcal I,ne~ WIll remain verblc..al. fhetwo ~et~ tJf hOI"I:z-ont;a1 lIne'}, howe-ver, are now obll q,ue tt'l -f;he plc.ture (7/..a ne3f1d will appe;ar' to converge, one ~et: to th& left tlf1d the other to the nqhb. Thee>e .are the two pomtfJ r'efe-rred to In pOint pe""~pectlve. z· ,, ,, s- POIN1' VIew It?tlbn~ Aown c.UI?e-, ~ r , If we. .J;Jlt the uub~ 17ff the groul1t:1 plane, or If we- ~hlft our ce-nllr.a1 Ilr1e of 01ght to look down or !,Jp at; the- Gu/:?e, the-n a/l three. '?e-1;fl of rar~I/e-1 Ilne~ will beo1?llqu~ to ~he- f.,c;tu re p'12lne :and a ppe.ar to c.onve-rge- 2lt three dIfferent v.am~h,ng f'0ll1t~, ihetle ;are- the. three rOlnt0 referred W In 3~ pOln'b fe-rf1F'~c.t,ve-. Note- t;h;at ~he!7e f'er~petit/ve Vlew~ not/ Imply that do th&re- are- only one) two, or thru vanl~hlng ro,nt~ /n a feir~ ~f'evtlve-. Tl1~ 2lvtu~ nu m b&r' of van I~h ~ Intj r01nte; will depend on our pOint I7f vIew and how many 0et0 c?f rara/1e-1 I,neeo ac.tuallY eiXI~t In wh.at we eee or e-nVI~IOI1. In 1· POII1t- per~pe.c.i;lv&) we" View Or1e. fac.eof a tr2n~rarent cube qbr,enght on. We. can the.re-fore begin l1y drawing that; het ae a ~t}..uare, Next, we draw a horizontal line through the. f,t1yare and oc.ro~~ the. '?heet. rhl'? horl~on line. rerr'e~ent~ the. eye, lewe/ of bh~ vIewer. A?£,umlng the fac~ we. ;3re:- looking at /i? 10 fee-t £'qp~re ;and our eye- level I'? 6 feet al1ov~ the '1round plane., thehorizon line. would c.l/t t2c-rO\7S the. middle of the ~q,uare:-, f'?ta~/I~h the eenbe-r of V'~IOI1 on the- horIzon /In~ ;md draw Ilne~ from thecenter of vl,?/on through e;3ch corner of tihe ~ttuare-. The~e refre-?ent the horl- zont,al edge'? of the- c.ul1e whlc.h ;3r~ paral/e-/ our central line of '?Iqhf/ ;and which converge. at bl1e center tJf w the eenter t7f VIt?lon I~ loc.,ated to the left of venter; bhe/1 VIt?/OI1, If more CIf th~ right q,de of the CLJI1~ will l?e ~een 7 If moved tiCl the rl~ht, more pf the left will l?e \7eel1, vome~ ;an Import/anti i?te-p, How l~ t.h~ reat" f.3c~ ?If tne cube.. ~ In ?It-her WO,..d~, h()w fore~hortiene;.d are. the bop, bo~t;om J ,and '?Id~ t7f th~ cube ~ 11; depend~ on how far a way we are. from tihe cube, rhe CJ/o~er we are) Next hI" back the more we will eee: t7f the- top, l??ltitOtrl, and ~lde~. rhe ftJrthe.r a way we are., t;.h~ f!;3t;ter the tpp, l1otcom, and t?IAe,? will appear. A u~e;.ful meU,od for e~tlm;;atlnq thl~ de~ree of fo,..e~hort;e;.n,n~ I~ ba~ed on flhe 4&3 0 right brI2H1gl~. From geomury, we know that; the ~Jde~ of a 4f3 0 rIght;, or/angle are e.t:tuaL If we;. c-.an dr,aw 11; In peri7pect.IVt-, It~ dlo~tm;;al will mark off equal qegment~ pf perpendIcular Ilne~, C.v. ~ l[\ v'P.:: !/lagtJna I ~( v3n/~hlng C::> l[\ The height- pf the. norl ton line above. the ground rlane .and the po~I'I;"on of tl1e center of VI';lon ~ffect'? thefer~p~ctJV~ effec.t. , , ,, A no ,, , pOlnb H.L. P.P. 2. 10' de-pth fyom 10' aW2Y 10' detJ"l;h from '80' Jwaj For exam~leJ aq,~umt- we- are 0bandln~ away from -t?11e. fmnt face- of 7.0 feet the ou17e-, E?tal1/li?h? at the- 0tlme '?Ca/eo at? -t?he orlg I nal t?quare., a pOlnb on -t?henorl~C?n lint- whw~ 10 al?o '20 fe-tit to the right ,?f the- ce-nter I7f Vl<?lon, rh,,? I<? the- vant?hmg polnb for all tpSO dl:agonalq, re-cealng tc? the- rlgh-i/, From t.he left end of the- 6qpa,..e7~ 11,at?el,ne., draw a Iln~ 110 the dI2~On.;:l1 vanl0hln~ pOint, rh/'? line will cut Clff a 0eqmt:-n~ Of the rlght~hand b:aq,e-I,ne. which tltt,lJal bCl the. front b.;:l?&I, n~, NCl~e thtlt If the dlagona I vam'?hmg POI nt I? moved toward tne c,&nlle-r c:?f v/%?n, -tlhl~ I? tltiulvalent 1;;0 moving clo~er to the. cu1?e 7 and mClre C?f tJ.ie. wbe'? receding ~Iane~ will be- eeen. Jf It /0 mClved away frClm the cente-t" of v/?lon J we have ali?o moved far~her away frClm the cul1e ;and the cul1e Jq, reced Irlg r!;aneq, will be more:. fore0hortened, It? 30' Once we. h;ave. One- cu~e. drawn In pe.rq,pec,tlVe) we. can e.xJ;.e.nd It? geometry up ;and down) forward and baCK, ;and to the. ?lde5. 111 .. !, , I I I I I I I I F>: -------1 . ----.---- --4 ;"'\ , , i,folNT 2'POINT 2'POINT 2'POfNT 1,POINT ~ ~l~ - ~l----~~~--l---3E=--~. -_\ .~ I far~lIt-1 flcttJre. far",lIe! f'I;lt1tJ ~ When we, rot-:at~ 'line eu~~ ;;ee-n 111 1· pOint f~r;;pt}(/t IV~) 'f;.h~ two t?&t~ of not'lzon1t21 line;; a~ both obll~ue to th~ pl(/'IIure. plane.. One .:;et will tlppetlr to converge. ~ 1;h~ Ie.f/;, th~ oth~r bt7 the. rIght. ThLJ~ we. h~ve. tWt7 v3nl?hln~ fo,nt~ on the norlzon 11t1&, 61t1~~ th~ V~rbJC31r, art pprallel to the. pl(/1;;ure. f'ltlne., they rernam v~rtlc~1 In pe-r'?~~c1;lVe-, 11Z I 111J~tt".atetJ al?ove. It; ~ .:;e.r le? of per?pe.(/"!;;IVe. VI~W? It1 wh I (/11 '3 cube. rotl21tet? l.3~out a forward ve.rtlcal edge.. From left to right, a 1'polnt r~Wt?p'e.CitIVe. view I~ followet! ~y a r,eq,ue.nce. of 2, POlrlt; per;;pwtlV& VI~W?, 1he. cu~e fln~lIy rotatc4? ~3c.k to where J1,~ front face. I~ f3r.8I1e.1 to the. f'lctLJr~ plane.. It '" t,hu<? .,ee.n m 1, pOInt;; pert?pect I ve. For t;h~ plJrpo;;~ of r,ke.t;(/h Il1g a z- POll1t vlew1 we c.~t1 ~UI la on ovr ftlrn",~r't.Y. With a 1'pe,r.:;peo1:;/Ve. Ciul?e., We mLJ~t 1Jr?1; Ul1ti~r?1;;and th2f; a ~q.uare- can l?e rt7't~ted :at 311y ;m.gl~ ~nd ~e. II1~c.rJl:?~d wd;h, t1 a I~t"qel'" c?ttLJ~r~, a~ t?hown ~~ove-, In e~c,h O~t;e-) r.~rt?f.e,otl 'le. not~ that the Int?orll1~d ~quare. the. I<ilrger ~~uare. ;it po, nti? e'tLJ3lty Jlt;bnt from e.~c,h CO 1"11 e.r. 1;ouche~ }~ - .• - • - - - - - •. - - - - - - - -' . -.'1 : \ I' ,'" .. I I ,," I ....~----_ .. _ - _ . . . . . ,--"'( : : . : C.Y. H.L. To V. f. L. eo fI;. (----- .. ------- IO'!!-' .. ---::: f/r,--=:~~ (----------- lA t H.L. G ;' ~+----~. .' A c.v.. H.L.], v.r. .. - /5<-----)' "Co .oft ~_ .. __ _._._._-( .• Y.P. ~,~ht;. o10-=~~~~-~ v.r. Left ..'; ...... ............ , . - ...- .....-----;;Z;; ~~ - A ~_. " N~ that the &;,de of the IMCt" beA ~'fyare I~ alwayi7 '?hot"t-e-r bhan t-nt- ~Ide- of th~ larqe.r ~1U;W&. ~) LJ~lng ba~e;, plane t1f a cube peori?fectlVe-, we Co,3n mJ:lrk t1ff tne dli?tance A from Vt7tl1 end'? of the frt7nt I1tli?e-llne-, Next, dr.aw Ilnti? from pt7tnti? 1 .al1d 2 to the.. drawn the i?1.tJ3rtIn 1, f01nb cel1ber uf V/,?Ion, 'n1~n tJr21W .a J/agon~L Wher~ th/~ dla~ol1.a1 cute> ~cro~'? the11I1~? from 1 2lnd 2} draw not"lzont,a1 I,neq" We have now loc21ted the fOLJr' corner'? of f;he In~crlbed ~ttu~r~ ae ~ten rn per~f'ec;.tlVe, the ra-{;Io ~e{;wun dl~3I1ce? A and r; WIll t1etermlne the eize of the 1t1i?Crlved t?q,uare .and how much It It? rot.ate,d, ihe dlagr21n1 belolV illu~tr.:ate~ tl,tI~ relat,(ol1~h'P ~etween the :3n~le ~ rO't:atlon and the "tu &7f the JI1~c.rlbe-d 6qu:are., A??LJrne the. l' pOInt pe.ri?pectwe vul1e. 'I~ 10 fe.e-t hIgh .and the. horizon lIne I" ~ f~~t above the. ground plane., We c.,m e-xf;end the In~crl~e.d ~q,u;;lrt:- upw;ilrd -to any d~lred height 17y U'7ll1g the. Vtwj:;lcJ:ll~ of the lo·foot vul1e. z» me-a6urln~ l,ne6. The follOWing ::lre error~ 'tit? ~~ =avoldeJ when draWing ~ c.u1?e In I'ler't?f'ec"t/ve... ... • Laok tf cot1verge.l1cc:::,::···.,. ... ----'r---__ --- _------- ,, I . • Converge-nee. too . ..___ ....l .., ac.1J/;~ _Incorrect: proportlOf1 ---- ~ Jti I~ lJ~ef1J1 .down 011 cu~e- to \1ecomt- comfor~.a ~Ie- .and fllJent. In drawing (iLJ\1e~ from a num1?er I7f vlewrolnt~ :Jn4 ;at;. v.arIPlJ~ ?c.ale~. Thl~ dl1J~tratfPn c,n ~~rv~ ate> 3 vle>ual .;julde. for keeping &lJiI?eq, In proper' pe-rt?fec.tlVe.. The Iprge. Clrc;/& re.l='re~f}n1;~ tihe cont:. of vl?lon; the vlr'cle''? diameter the. horizon line from one:. vanl?h,ng f'0lnt to the other'. I'? In tl1e lower h3lf pt the- clrole., the. repre'?enb where. the. leading edge? of CLJ~e~ meet the ground plane-, P0lnt;? Not!: that 2l~ the pPlnt~ ~~t c./o~er 170 the. hot"l~on Ime - .a~ 1;hey recede. Into -the. dl?t;mce - the ;angle tie-fIned ~y tl1e recedln~ ba~ellne.~ qet~ fL:ltter. A~ the eo,n/;~ ~rpt"o;lch the cJrcle'~ cIr'cum ference:., the. angle approacheq" 11/,/1;. jq, never le?? tl1;iilI1, 11 Ine-ty d~gree~, 20' To exb&rrd cubevewblc;aIIYl ?rmr1y ;;ldd mu It/wlt-~ .?f V&r'l;;1 c31 20' &dg~~.~----t""~ \\ A~ In 1, pOint pet"'?pectwe, W~ c;an extend the. geometrx of a z- pOInt per~pec.tlVe c.uL?e- to f01"111 ;iJ th ree1111 et1~I(Jl1al grid. a ''"........ '<::::'",. "'........ , ®.. . ; •••. ~ ." .· ·· : . "", .' <, <, - : . .. . . , : : f . .... .. I : .. I • . .. I • I I • : , . I. ! ,, \ . \ \ ", .. "'", <, lf we. look up or down I3t -t/he tube. 'Be~n In z, pOint pe-r~p~tt;1Ve) our c&l1f;r.a/ 1111etJf 'BIght I~ 110 longer horltont.al ~nd i/he pl~ture pi ant. I~ no longer v&r1:;IC;lI. fne. vertltl3l ~.d.ge~ of the cul?e- are. now ol7llq.ue. to the picture- fl ~ne- and m Ut;1t therefore l3/?re;u" 1;0 con ve~g~. If we look LJr.w~rd, {.he. vertlc31 edge'? wrlll3pf.e3r ~~ove 1;0 conver.ge ;at 13 pOInt the. htwlzon line-. rhe 'Barne. edge~ will tonv~"'ge.at;l fOlnt I?elow the horizon If we- look dowl1w..ard. T1~ We con LJ~e the. i/hree. pOint? of .13 trl3n~le a~ the vanlt;hll1g p,0lnt,? for a cUbe In ~, pOint per?pe.()tlv~, One. 61de tlf the -!;rlan~le I~ nor I zont..a I ~n.d cOl1nec-f;:; th~ left; and rlgnt v.aI1,~hlng pOInt? for hOrizontal line? The. third vanrt7nll1g POint for ver1;/c:.a1 Ilne~ 1F7 a~ove or l?eJtlw} der~ndll1g on our pOInt tJf Vlel¥. located U",ng an e?j,ulla-!;eral -brlangle " "''' " " : ....... .... a~~um~0 the. 1.acet? of the c.ul1e- are ;ab equal an~I~'? 1::0 '!the. vanr~hmq ' ", ". "'" ....... plctut"e piane-. extending POll1t for vertIcal Ilne~ tlw.ay from the. horlz.ont~l alter<s our fOlnt of vIew and th~ p~ri?p(;ttlve­ the e-fhc.'!/. w~ beqln tCl draw a '3,po/n{ rer!?pe01;IV~ vIeW of a cu~e ~y i?electrng ;;I pOint A clo~e ~o the. ce-nt~r' c1f the equ"3ter~1 j;rI3ngl~, From 'i/hl'? pOInt, draw lIne'? ~o the three. vaMl?hlng pOInt?, Once we e?t311/I?h one edqe c1f bhe cube., le/11th AB) we can c;ol11~lete It by l.J?ltf~ J/agoMal~, Ihe vam~hJng pt'lnll? for tht-~e JI~gon~1 118 111ldw;ay ~ellween th~ thr~e 1113Jor v.anlt7h,ng POll1t?, If we. rc1t;ate thli? pag& If'O Je,gree~, we can eee a c1f the ~.ame- cube, but In .t;hl~ we 3rt- IOc1kll1g up;at It, 8- pomt per?peotlV8 CZl?(;" 117 t'e,c.au~e tJf -tine- c-ff~ot~ of dJmll1l~hll1g !?IZG-, conver1ence, f&we~hl7rj;en(nq, me;;a~ureme-n~~ In pe-r~pec~lve 0.31111171; and ;;a/l ~e dr,awn 3{; the ?:3me 0c;a!e, But. ~here ;;are mebhC1d<& ftW determ 111 Il1g the re! ~'blve Width, he.rqht, ~nd de~h <7f forrrt~ ;and ~pac;.e~ wnen ~ee-n In linear per~rec;.f;lve.. 10 10 • r 6_t .. .: " ~:-.'" ,, 0: \. , ,, • s . v , .' +--+7'r.._~ _._._"._._-~;,.", " .... . " " Vertical .~md ~ot"lzol1tal Ill1e~ whloh :aref3r;;allel to t~e plobure p1211e- cal1 ~e u~eA tt1 111~;;a~tJre he-I~ht. ~md WIdth ;anYVl!h~r& WithIn the derth .?f t) re.r~reotlve-, S,noe the hel~ht of th~ o};7~e-t"vu'~ e-y& I~vel 2~OV~ the ~rolJ/1d r/ane rem ~111~ G0I1~t;ant/7 ;:lny verb-Ioal Iln~ from thegrl7und plane to the- l1or,zon Ime- rerre.' ~#n-/;~ t}-Je q,3me dlf11en~JOn ;and c;..an 11ediVided Into the €lame num~er of IJnr{:;~, rhl? vertIC.3/ ~o;;ll~ can l1e e.x{;e-nJed ufward 171'" downwtlrd :3~ nu-ded to me.3~ure the height pf .any' del11ent; 1/1 per~peG{;,ve-, al~o AI1Y verbc;al tbo.ale oal1 ~o" 111 a t?lal1~ r3rall~ l1e rl7tated to the ploture pl;ane to fprl11 ~ horlzl7nt.31 ~liale to l11ea~lJre theWIdth of F'~r~p~titlV~ e-1e.m&l1tq" 15 f~ 10 +, +',', "" +... j '\ . ~ .. -. ............... "....... - '" HOrltc7n I1 ne- . -- ------------------------------------- "", I . , ' .. • - _ 10 ---.:~ 11;; /" \\ , r. •------ -----::l>- I'l"~ ----- -----·-- - ..::-- ~-: -f::_~ )1'~> ,"t-- I,; +.. -~_ .... I I / I " I I I : : o + ~: • + ..t (--------3 I ., . I , . I I ·· ·· , • + • • • , , . , f;arall~1 Iln~~ ,, , \ \ \ \ , , , 'f; l1y d~f(t1ft(Cm r~m:aln eq,u,dlfltanb l1ut apft-:ar to converge. 3~ they rece-de In r.e-rq,pectrve-. 1w17 p;ar;al!eil lIne6> can therefore. t7& u~ed to tran~fer a ve.rblca/ "I" hot"lumtal meae>LJreme.n1; mbo the defth ~ :a rer~pec-tlve. Mea~LJreme.nte> made /11 thl~ manl1e-r cal1 be q,nlfted vertlc;ally or h"rlztJt1t:".allj ;aq, long ;aq, they remain In a pl:;;lne parallel t() the pIcture pbme-. 11~ ,.' VI-7UtdIZe, " ........ bhe.. face of the rO't.atlng c.LJ~e .a~ -- ... _-~. ~-- -.... _-----._---- - -- _.. --' --------_. ~~-_.- ~Wjt1glng ~1717r• .-----~ .a ----_ .. ---_. ..... _... .. ... - ... . ~~ ---- _... -.. .... - ~- . '.., ~ - ... ... .. -_.- -- .......... -_ ... , To? me~~LJre d~rth JlJdgment whlt;;h I~ ,n perbpeo1;/V& re,q,ulree; 1:7;aq,ea 17n dll"'eot 171:7~er~ vatlon ~md n17url~heJ \:1y e.xp~rle.t10e-. Onoean Inb/a/ deptn Ju4gment I'? made, the.n guove.e.dln~ tle~h JuJqment? mlJ~t be- maae- In prOp17rtl17n 1;17 the flrgt. ]20 If we ro?taiie a (i(;I1e- eo th:af;; we.. ~t)e. more c?f the right f3c.~) 1;he lefb vanI?hIng PO! nt will move (ilo~er W our OCfl~c-t" of YlblOn ;,md the /"'I.~l1t V~1n I'711 I ng pplt1t will move farth~ aw.ay. lhe more front.al ~ f.ac~ 1'7) the le~ fpre~hort;en~tl rt will 1:7&, the more pl1l'1.ue- ;3 f.ac.e 1'7) t.he ml7re U1mrre?~~d It will be 111 d"rth. 11u~'7e dr..awlng? provIde, vl'7LJ~1 ~ul.dellne? for JudgIng the- ~har~ :Jnd proportion t7f tjqu~lre. pl~I1('~ In per'?~~c.tlv('. 4 1. ':. 1 : 'It ·:- ··· • rh ~ . - ... ea~h t;lm~ W~ h:alve. i:;11~ dl~t;;lnve­ frt?t11 the ql"'ounc:l p/21J1e obo thehorizon, we dOIJt?I~ the. re.r'1re.(/f;we. dep~h .,. . I ® HOr'I;zon lInt- . I I : : I : ----.--- ----·--·------r--··------ ...... ····T-----··,~-;· ~~~ I - I .... _------ -- --_._---_.-.-. __ . -,-'----'-'- --- ...-..----I-.L , ® I cv Thl~ dr~wlng dlu~brJt~ how de-pth l?e. made. by i?LJl?dlvldJng, on ;3 proportilonal l?a~Ig" the. hel.~ht of th~ horIzon lIne: ;above. the groLJnd r1ant-. It ;a~~ume~ :a ?-fClot h~lght for -f;he- hgrlzgn line ~t1d ;a vle.wlng ol'1i;anc,I7f zo f~et/, Jud~trle-/1t~ ~3n Whtle- -tlhl? b~chnlq,l.Je Ii? ~~own 1/1 ti 1, pOInt pe.l"'6If&vtlVe) It ~an l?~ ~pplle.d ;3'7 we-II to '1.' pOInt- rer~rectlVe~, , 121 ,, , - -- , : , ' , ,, , : : , . -- ,-- - rL.- , .l ··, :/:..> : '/" .'/" . I/! --- .-.,. .. , , , 0 " ,, " : , 0 0 ., . , . 0 " --t·,..... . ,~' 0 .. ; 0 0 0 . 0 ; . .. 0 . , , . 0 0 , , .0 .' , - With tl!;age:It1;l!'?, we are ~l?I~ 1;0 cOl1venlently ~ub~IVJ~e or exte-nti del?l;h JUd~menbb In ~ per&pec.blVe. For e;x3mple.1 If Wf:. draw two dlagonaJ~ ;lCrO!l6 a rec.t:angIJI~Jr pl~H1e. rn pe;r~pe.c.ilYe;, bhey wllllnt/{~rq;e.c.r; ;at. theplal1e1~ G~nj;er. ~Ine& drawn thrt1uqh th/~ midpoint, p~lrJllel W the edge6 c?f th~ wJlI i8Ul?d,Vlde. bh~ rec,-/;angle lt1t;o fC1ur B-c:tual par+;!;, Thl~ prl7cedur-e. c..m l?e. ~r.:3ne.7 rep~;3ted ~o ~ul?tiiVJde .:3 r~cf;an.gle Into any even numl1er C1f utu~1 part~. 122 --- - ----- , " 0 , 0 . .. ; 0 0 A rec.tangle c.;;n al€717 l?e €7ul?dIVItJed l1y flr~t d,Vldlnt3 -/;he;. fC1rWJrd vertlc,al edge. Inw the de.&lred I1lJm~e-r t?f pal'"t&. from the~e;. po,nt;€?, draw line€? whloh I3re pJrallel tC1 the -bop and ~C7ttOt11 ed~e~ and wh,(;h tnerefol'"e vol1verqe.. at ~e ~3t11e pOint. Then dr2Jw 21 dl21gonal. Whtwe thl~ dlagt7nal (;ut'? i3Gro~~ the rec.edll1g horluntal lIne'?, draw verbl(;al hnee. rhe~M mark 17ft" -t;he. de~Jred number of '?pace~, which dlmll1l~h ae the.y rec~de. In per~p~obJve. -" "- ... - A A A . -. --.--. -'. ' .. . -. --- _... - . -- ...... - - .......- ............ _.. ....._... - A '. --~ , , .: .: ----------_.- ------~-----_ . . {---+ " - .. .. I I ~ I ::-:---:':-_-:.:-:: --.==.::.:-: ---...------ :;r'..:. ":':-'i--""; ....: : : .:.._._-_-~~:~~ .:.. -:.::~:~-.+ . _·t··..-A·f~· __-+_~,..,....;. A , , .,- ,.'. \ ... ;.- .... _- .. - To ext-end ;and dIJrll{;23te ~ne de~ of;a r.1;ane- In rer~rec-1;lv~ dr.aw a dl;ag(}I1~1 A frt7m the f;t7p t7f the,. forw;arJ v~wt;IC~1 A .'-. * edge thrl7uqh the mldpt7ln~ the re.:ar vertlc-;al .:anti down bp meet the re-c.edlng ba~e line.. At f;h/~ Pt7/rlt, dr.aw :a11t7ther vertlc:al. rh~ dle>t;ance frt7m.the- flr'~t -bo the q;e-ool1d ver-blctill I~ {;hen eqlJ:a1 -/;t7 the tjpac;e l1etween the q;eoond ~nd the thmd. rhe~e rrI7G~edLJre-e> Wt7,..k e~lJ~l/y well ft?r I1Qth verttcal ;and ht7rl u ni;;a I pl;ane-~, ;and o;m l1e repeatui 3e> n1;any t;lm~~ 3~ ne-oe~~ar'y tt7 ;arrive, ;at th~ dee;1 red num!?~ of -? p3 cee. ~- ,- -- '. v.r.L../""--I'H--+-+--+----t-" -- c A '. ·-··-'->·..Y..~R, H.L.~ ~ ----..- -.-+-------:;or----+_ -~. -, 1/ B - ______} Oraw In r l;;lt,O/1 1;;0 8xwtlng f~rEllel I,ne~ ~A_C f;--P '" .-. '" ,.' e' ..) . --- . -. r--- --. . -- . .. . -- .. " -_. ~_.- ------+ e-. '" -~~l 124 --------_. ~ ._- ~ L~ K=M 1- W If we, have. ~ r8ot;mgul ar plane- ~Irea.dy drawn In rer8peotlve, we can LJi7e rt~ tOf anti l?ot~om edge& ;3I1d the horizon 1/11(; 3fJ vieual gUlde!5 te? draw 2311t7bher parallel lIne whlvh Gonver~ee; at th~ 0.Hl1e. vpnl~h'l1g pOint. ---- -. ---- .-- - .............) In draWing a f8r!5peotlVe, we Bhould nt7l; l?e Ilml~ed to f01nte> of VI~W whlc.h re8ult In var1l~hlng P0lnt5> ~e-lng on the draWIng 6LJrfaoe-. We- mu~t ;;ll~o ~e a~le- to .dr.aw f.'e.-~r~otlVe v,~w~ Whttr8 ~~t;~ t7f parall~1 I,ne.-e.> :arr8.<3r to oonverg" :at dl~bnt vanl~hll1g pOln1;.B. - 1-- . . ' ---- .- ~ .' -. .. -.. . ., ., . -. . . -' . ' FIr~t msrk where t~e per~pec-tlv~ line to? b'e drawn would orOB~ ~ vert-lc231 edge i;;he pbme. On t-he other verblcal ~dge, repro?auce- the ~ame- rtroportllon;:J1 dwf;ance the horizon line .a~ -lihe, flro/ti. The pe;r~'Pe,v-t;lVe- I/n~ ~ho?uld paBB ~hrolJ'1h the~e. two ft7lnf;~ If It I~ to c.ol1yel"'ge- 3t I-liB van/~h I ng POlt1t. * w Ik-- I c nv""er f'f ~.:~ :\."'tV;l!>----- .;.. r.ro", Lp 1" .,;, _____ - ~.:~ .,;, !I !! -- l--- I .,;, ~ ,;.. ~-----.., I- ----__ [ ...- ----------1 - ':' ._-- --~ -- - - - We C;;l11 al~o e~1/abll'7h a '7&rJe~ t7f e'iual/y I7paCie-d par:alle! Ilnt~ wl1lvh ;arp~ar ~ converge- at;a dl%ant val1ll7nll1q P0In1/. We dl7 thl~ !:?y dlVlthnq btith verblCoal ~d~~ of the. reCotal1ljlJla r perl7~eDtlYB rlane. Into the ~ame- num be-r of eq,u.31 part~. We C;;ln ~he-n draw IJI1~ through thecorre17pondlf1g pOInt'? 011 e-ach vertical IJn~. rh8~e.. IJrle.~ will arpe~w ~o con, verge at a common vanl~h,nt3 pOln~ even If It 1Ie:~ off ~he. d r21 wlI1g ~heet. 1ZP5 Once- we are- famtll~r with ~md Cionhclent In drawJl1,~ r~r~pe-otlve l/l)l?~) we carl LJ~e theIr rectIlInear geom'bl"'y ae ~ l?;;I~I~ for drawll1g p~r~peotlv& vlew~ tJf In~ cllf1e-d plan~~, (ilrc.'e~, 011a4ow5) and reflee-ilon? ~, , I 1 ., , , ' " , 1 , , ' '. " ,-VIEW Or tJrHlt.t. ',)TI"::EET .: " p/ vrsw We can draw a ~iI"lgle Ine-II ne-d line In p~r~pec;.tlve- If we. ;;Ire:. .al?/e.17tJ IfJU I'!I :a~ the hypoten U~l- - the- long '?/de - of ~ rlqi1t triangle.. ~y draWIng -b/1e ve-rt1C.a I ond horlJ~ontal ?Ide~ pf the. rlq~1'b -brl:ane3le. In prope.r pe-r~pec;.tlve-. we, e~t;abjl~h the e-ntd pOlni;~ ftJl" the111e-llned I'ne... 12~ Whe.n OF' DOWNHILL 'ZlTREE:f th~r& are, 0 num1?e;.r t7f fora/lel Inol,ne-d l,ne8.. It I~ l)~~fLJI to know wherethey appe.ar to conver'~~ In per? peciilve. Ilne..-~ t3re- ~y deflnrt,on not hOt"ltOI1-b.:aI, their vOI1l?nlnq pOln-!; will 6mce Ine-Ilned not fall on the. horl:ttJn lIne-. If '!Ih~ ~e..-t downward ;;il~ It re.e-ede~ from u~) I'!I wiJl appear ~CJ c,onverge..- ):?t-Iow the norlzon line. If rl6Jng uf'ward ;;I? It ree-ed~~) It~ vanl?hlng f'0lf1b w"llJe.. ~l?ove:. tl1e..- horizon lIne-. ~Iope~ , I Hot" Iton " , " _--""'a. ,, " ' --.._ ' ....--."..--- ". ' . . \ '. , ,, '. .' \ , \ '.'-.', ',', \ ..~, '\ '.l 10 det~rmlne. the. " ----~----------------------- vanl~hln~ pOInt for;an II1GI'netd 6et I7f" p.3I"'.aII&1 Ilne.6, 10G~te, a horl ZI7t1t.aI line. whloh II~ 111 the ~;;3me. vertlc~1 plane <36 one of the InclIned IIn 86. Draw a V&-r'tlc~1 lIMe f/"'(?m the van16rllng POIl1t; for the horizontal I,n&-. rhen e-xtentd the me-lIned 1,l1e ul1tll I"b meet6 thl~ v~rtlcal 1'l1e. ThJ6 mar/<6 the van16hmg pOInt f17r the. II1cl,ned lIne ;;md all other6 f'.;Ir.;lllel Inc/lnetd III1e6 3nd p/ane6 can be. 6een In %~lrwaY6, the 610plntj rC717f"6 of blJJldln~6 ~na tower~ waY6 of hJlI~Jde -bl7wn~. 3nd the road~ to d~ In the 68t. 127 l';3ng&ttt;. POint ~~gt;k df majOr ;lXI,? A om/le In per~peo-blVe l~ 0een as ;;il Girt/le only when It /0 parallel to the plvbure plane. In allt'lIher ca~ee.? when viewed In an t'l:?I,ptue m::anner, a cm:;le 1& seen ae ;;in elllpb/tial '?hare. it' draw ~ clrcl~ In rer&pectlV~7 fw&t draw ~he ~ti.lJare which c;"...cum~~rlb~? the cJrtil~. TI1en draw t~e dI2l~a/1~I~ of the Bt'lP;;;lr~ 21nd t~e Ill1e~ that dIVIde the &1u;;we Intt1 four ernaller !?1U;3re~. Ue.e tH~e Iln~e. tt1 ~ulde the tdr.aWll1tj of the elllf?tlcal &n.ape which repre~tmt? tne cl~l~ In p~r&peC1;IV&. Nt'u- that JU&t a& the forward ~31f c7f a &1LJare 111 pe""~rectlYe 1& gre2lt~r than '50 IB th~ h-alf uf a the rear half, near per!?r~vtlVe clt""c.l~ fuller half. Th/)~ the rH2lJPr aoe tle-al ~hj3f~ repre&e..ntlng th.an -j;he far of the el/wj3 cwole In per&pevtwe I~ ~J1W3Y~ &ll~htlj forward &truvtur;;ill cent;;.e..r. ~ I~ ". ~ / , / for 1LJ1ok r~~re~el1ta'h:?nb, r.er~pec~lve .'¥ Glrvle~ v.:3n ~ arprl7xlrma~ed wl~h ~n e-III r'~e, The rta1l1&l be~weel1 the maJl7r mInor axf.~ of th" 81/1r~e l~ ;;311 I mportant I nlJ Icawr pf the fore!1hor~' en Il1g WIJ; eee. I'IJ; careful 11'* ~t' e.xaqgeraf;1J; the length t1f the mll1l7r and ;;3)<10, whIch q,houfd arrear tl7 I?e- perrend/cv/ar to the plane tJf the oI rcllJ;, The ClrollJ; le> thlJ; l?ae>l~ for m;;my t'f thet3lJ;17me~rlc forme> we eee -~pnf/re~) cyllnde.r~, and Gone.s- 311d their Varll7lJ~ mtH1lfe~batJon~7 from every' day ObJBot? to C?r I?lJlldlng~. th~ arohe~ and vaLJJt~ NATUJI\At tiGHT '60tfKCE ARTl FIClAt LfGHT SoURce v.r. for f.ar;lleJ '3ource of r.aA/;;l/ 111h~ I".ay~ light r.ay'f) ~ ~. Vertlc.al edge? c3~tlt1g t?haapW'~ The ~h.,pe of ;a '?hadow ~.a~{; In rer~re-c­ tlve I~ d~termlned ~y -//ht"ee. factorq,the type and r0q,/iilon of the- light 60UI"Ce, the. ~h;afe of the t7t?Je-Ctt cag,tlt1g the 6h.adow, .and the f01"tt1 of the ~LJrfaCte rete-Ivlng the ~hadow, ;Jri/ two f:;yre5 of light" ~OLJt"C~. 61.Jn, \?ec3u~e of Itb dl~f;Jl1ce from Uei', There me radl.,te~ f7arallel light r.aj~. ~ Art,h:;/:al 6ourc~51 ~ell1.g clo£ier to what; they Jllurt1lt1~'!;~, cmd~ radl31 IJqh~ r3Y5. In I?oth e-a~~, If:; 15 U~MiJl to vlq,uaIIZe. the h?t1 of a Ilqht rayag, \?elng l?e.arlng d,reCithe horlzorlt.al %de of ;a rIght 'brl ant3/e, f:;he edge c3g,f:;,ng ;a t?Jh.ado'N se the vertical ~Ide., and ~eI't3 ht ray Itg,eJf ;a~ -bhe hypl7t;e.n LJg,e. ~ 4'" .... <'\ ~ ~ .." • : ..... ~ s.. ~ 11----- --"'- ~~( UGHT 50URCE rtJ F~ONr Of VrEW6~ trGH'f '50U~E BET-UNO VI5WEt<:.. 1.fGHT'SOURCE TO THE ~I05 OP VreWf:R, 'I")',, i,'\G.,~ rv,. light raY~ '\ "\ .,.\ ' \ \\ \ \, \ \\\\ \.\\ \ ~ . \~ ~ \ \\ \ \\.'..\: \, \, , '\, ~ight- r',ayt:; rar.aI Ie-I to pIcture,. pl.al1~ '.\,\, \ \ v.r. for bearmg ~Irea,on "\ tJf 11~l1t ray'7~ \ v.F. for light r.ay~~: The 11e-.;imng dwectlt7rJ for a ~e-t t7f rar;3l1e-1 lIght rayfJ If; ;3 horJzont'.;a1 line- and d;~ v;3nl~h,ng pOint mLJ~ therefore lIe on the horizon line, The- v.al1l~h Il1g pOint for the light rsye them'8elve'8 mLJ&t lie. :al1ove -th,~ pOInt; for ;3 ~ource It1 frol11;; of U~, or pe-Iow for.;;l ~o()rce l1ehlnJ LJ&, When the II~ht t:;ource I~ to the ~J~e ;anti emlt~ rayt:; In ;a v&r'tlc;a/ pl.an& p-:aral/el to the.- picture plane, thelIght r.ay~ do 110t converge, ihey remain p.aral!el and rei;.;;lln the".. orientatIon 111 perf;peo1;IVe., ~"'I.r ;{jJ~ ~I~nb i?QI.Jrc,t:r . I I Hortzontal I . , I : , c.:l~tl rig ~dqe- I I I . " ~~. I I I I I ! -l.- ,, .. ' ..' .. ~ A q,11.adow conform~ 1;;0 th~ ~tJ rf.ace cm wh ,c.f1 It I~ c:.i%. " '" "IL--II---~ ) q,huiow t1f v~rt; I t~ I ~dge, A ~hadow ol1:aM~e:; dll'''ectl17" whet'! the edge c.a?t;ll1~ the ~h~dow C,l1at11'q, dJr~c.t;lot1 or when *ht:- 0hadow tf !'k7ntorttal eJge. '8urfi3u rec~vft1~ th~ ~h2dow Ch3t11U7 fdt'l11. A verh~.al edge c.~~t~ a ~h;adt7w 0/1 theground plane In the directIon t7f the- lIght;. ray. If;~ t8hadow there-fore c.onv~rt3e-t8 a~ the t8ame v;anlt8h'l1~ p'0ll1t se th~ !:'earlng dlrut,on of the light ray. A hor,ztmtal edge p;ar;allel With the ground plane. ;;ma v;at8~ :d ~h;adow par;allel t-o It~elf: ihl~ q,hadow therefore c.onverq~ at the. ~~me r'17lnt 0/1 the horltQl1 a~ the cat8tll1g edge Ib~elf: 1~2 118 When a ~hadow c2'J~f; t7/1 a horlzol11;;al plane lE; Interrupted ~j a vertu;" I 6urfau, ~he 6hadow movet8 ur tht- v~rt;.lcal '?lJrf3Ce and !:'etot11e~ p:;Ir;il11 el With the ~~~Ing e4qe. If ~e Int~ruf.tlng ~lJrbve I~ Il1e/med, th~~ -bh~ ~hadt1w f"lIow~ the Ine-IIM 3t aM mtermedr21te antjle. ~etweel1 -che ~~;adow~ C3.,t e?n the hOl"l:zantal ;and Yertl~31 g.urface~ ..) I I I I I I I I I I I I I I I I I I I I I I I I I I I I I ---- -_ ...... --- -~--'\ When ca~-/;;Ing the. &hadow c?f ;a Gomple-x form, flr~ tlr;w the 0l1adow? v3~t by the e>1ft1pler cOl11ponent~ t7f the. form. ~hadow~ Into ;a ~ll1gl~ 0h3f'e WIt1h a COf1tlr1()OU~ OlJtI1l1e-. No~e that thl€J outline re-fleot€J ~C7th the 6hape. of the c;a~tln.g edge? and the ft'rm t'f the 6lJrf;ac;~ receiving the q;hadow. ihen combine the [1/ lJ~tra~ed are VarIC7[)~ ?ltLJ;atIC7n~ Where 6hadowi? are ca~1; either by or Ol1to com plex form~. fhe pr,nclple~ remaIn the 6;ame] lJ6lng verblc~! tlAl angle6 along the- oa6'1;ln'3 ed'3e- bo deterrr1lne- the !5hadowe;. 6haF'~ of the. I '~ R E: ~"Z c r 1 ~~__ --=-~ FA C E \ J. ......... - ....... --- ... - ,, :' Reflect/o/1 /tj i/1rfped ~ ,/ ~~e of r~fle,cttrlg l3urbce. ~13ne.} ~Llch 3~ water or 23 mI r rot; eXj;;e-nd~ -bl1e per~ peviwe ~y~t'~t11. Anything wh/(;h 3PfeJr~ /n fl"'on-b tlf or A t<tfle-c-oll1g a17ove- tFre refle.otlng ~Llrf3ce. wllI3rpe.3r' to l1e t?ehln~ or l1elow the. re.fle.ci;/nq ~Llrf3ce., rhe r~flectlng ~Llrf;ace -bhu~ f're~e.nt~ :a mirror or Inv~rt:;ed 1n1.aqe. Of tl1e objeot btlng refl~cted. If 311 obJe",t I~ q;lttll1q oll"evtly re-flectll1g ~urf;ilce) thet.he. reflection of e3",11 0/1 POIr1t; on j;;he objxt- Ile~ on 23 line. pe.rpel1dlvlJl~r to i;he rdlevttl1g ~lJrf3Ce, ;at;:l d I~t~mce e.1ual t'o th;;lt frolt1 'bhe pglrr~ ~ell1g reflected to the re-flevtln~ rl.ane. rhe refleo1;ed ,m3~e f(7l1ow~ the. ~31t1e rer~fectlV~ ~j'?tem of Ime~ :already e~t3l?II~hed for the tlrlgln:.a! Image-, If -f;he ol?ject beIng reflec1;;ed I~ at q,ome d 1~1;;ance from the. reflet:itl/1g ~urf3ve-, the perpend,t:iIJI.:lr d'~3nce. 1t1?m e23c.h rOt nt. (7n f;.he. oI1j e.ctto the re.flet:itIt1g ~LJrf3ce. e;,holJlJ fl/"~t be reflected. 111uI draw the obJet:it;}~ re.fjet;-~Itln a~ ~efore.. me pl.an~ of the I"'efl~vtlnq ~!Jrt.ace 5hould ~f.feJr -bo \?e h.alfway l1etwe~n the o~Jet:it :al1d Iii~ reflevted Image. .- ~ "':E.~ -~ )~N'TISI() NIN(i ])l\l-\."TIN(~ l~l\()~f I~'1l-\(iIN.f~l'I()N eye I~ c3r.a~le. of an Il1ne-r Vf~lon which Ilml'/:;ed to 1;he here and now, It ~an form;> rnanlpulate., ;;;lnd 1Iran~form 1h1.age~ beytm.d -bhe.. norm.al bounds of tIme and ~f.'.ace. rh~se Imaqeq,} however, ar~ I7ften vague and eAU~IVe, ~md C3n e3'7l1y \7e II7~t to ;;;lw.areneSE;, In drawing what we enVI~lon? we 1;31<e advantage. # our abilIty to thInk In vlsu.al t;~rm~ and gIVe form 1;:0 our thought~ and Ide.3~, The. mind's I~ no1;. rhe~e- dr.awn Imagetf) feed l1.ack 1;0 th~ mll1d~ BYe., furt.he-I" %lmuJate.. our Im.agll1atlon, JnJ rr.:?VIJe-.a dl2lo~ue 1?etwe.en ~e-If .;and Ima~e. fl7r' fLJr-bher exploraJ;;/on ;;Ind developm~nt ;7f Ide.ae;. VrawJn~ from Im.agln.atlon thus J4? .an In~t;.rLJment of thought whIch enhanCe-<? the. creatIVe rroce~s, t~7 Our p~rOe~~1011 1& no~ IIm d~&d to Wh3t we(it3t'! eee In ~he. here 311d now. Im3~e~ ~re­ t'ften ",ummoned or ~rre-3r "ront21ntoLJ~ly In re~pot1~~ t(7 a tfJ~n~ory ptroe~lot1 tfJom~thJne3 eeen, wUt:/hetJ, h~;Ird, tJ~ted, or ~melle-d. E:Vtl1 wIthout ;my ~or{:; pf ~MI1~(7ry ~lmIJ131;J(7t1, we h~ve -l;he 111el1tp l f30ulty ~ peroe-IV'I1~ reool/et:/t;ed or Ima~­ Il1ed Image€1. The~e Im3qe~ 3re pr(7dut:/t~ t7f 3/1 Itmer VI~I(7t1 a~ eeen through thGmll1dJ~ ~ye, 'fhey ~m~ ore;ai::-,ol1'? PlW Imel~lnatlon, '* ...... .. .....' ... ....... ' . '~ •.... .....~..•.-.- IU Im"qrne- ItfJ tc? fQrm 21 mental ItrlageCJf tfJol11ethll1g nt?t pret?ent tc? the ~et1tfJe~, E:J~lIy, almQ~t effc?rtle&~[y, you cat1 II11"qlne ~(7l11eth"1q 3~ ~c?on a~ It; J~ t;ugge~t~t1 1;17 you, As you read the?e.. word&, you C311 e2l~lly vltfJua"t~; \ ~ f'EOrL.E, ~l)oh ae " OIC7tfJ&- frIend or relatIVe, a TV l1ewtfJo;;l~ber, or ~ ol1ar;;lote-r from ;;I n(7v~1. ....... ........ PLACES, ~u~h 317 a GhJldh17QtI l?edrc?Ort1, whel"e you live, or a tfJc"n~ d~&vrlbetl In a bQQk. th~ ~treet ..... , ....... .. ' ........................ ................... . ..... . .... " .... ,,' ./ ..i) .' l ,..'.' / ,., .... .... .1'" / r- ,.. , ~ ~ j ." .... r········ ..··········· .. ················· ..- .., ........•.... .. .. ' '" , .:I r··': r"·~ :... 1._••• _ ••••••• ,; ~r/:an~lti or '?qLJ31"t:-1 a ~;;a/loon f/p:atltUj 1t1 -//he ;;aIr, or:a rH INGS, '?l.loh se :a "1";;al1df;;ather'~ cloc-k. ./ .' ...... ...... .......... ............ ...... ... ...... .............. ,. ................................... ." ..-.> .... ACTIVITIES, ~LJcl1 ~~ rIdIng ;;a l1/cyclti, -throwIng ;;a ~af?e~all, pr ~:a-tlrt~ a ~:andwI&h • EVE:Nr5, ~1Jol1 ;;a~ ;;a vLJl1e rot4:lt:111~ In ~P;:l{;e-, ;:l I?all rollll1~ down ;an In vl l/1 !,., or;;a I?rra t..al<.lt'!g off 111 fll~hi". Im~gln;;a-tJon I~ I7UIHI Wdin rllnd'?/qht we oat'! vl~u;:lllz~ . ..... ,. ~ ....' ,. .» on -the. v/~u~1 memprlt-~ of P4:lf?t perCierclont? ihLJ~ th~ more we h;;ave t?eet1 ;;and e-xpe.rlenc-ed me.4:lI1Jn"ful wPy, th~ rIcher our %ore of vl~u;;a1 lt11aget? ;;and -tl1e morefertile our Il11ag /nab/on. In a rI1e.morlee. of bhlng'?l plav~, and evel1t~ from ~he f'a~t;. WIth fQre~lqht, we :ar-e. aleo :a1?1e. to? look forward rt1 -b,me. 3nd uee.our Imagln:at'lol1 t-t7ef1v/t?/on a ~o~?Il1le fU'bLJrti. ImaginatIon there.~ ft7l"e, et1:al:7lti~ ue to have a ~e.l1ge hl~i;"ry ;;36 well at? ;:l pl:an for the. future, It e.~t.;:ll?llq,hee COl1nec-t,otltGvl~l):a1 b'rldgee l1awee./1 the. r3~t; the. pre~et1t, pl1d tHt- future.. '* i ... We ~Il n&lve. th~ ;a\?dd~y to Im:aglne? to think In irn age~, -;and to fore6ee.. In f.av~ we lJ~e thl~ .avtlVt Im.&lge~m;;lklnq ~roc;e~e; In our d;;ly-to~d.ay ~Ci-blVd;le6 ;ilnd ~o ;ilt~PIre­ mal1Y t?f our <?I<"I~. Our thought h.&l6 vI~lJal form when we build a c..ablneb from -;a ~et of dr,awJn.g~, e.V;;l/uaJ:;e 1;he ptltte.rn of ~Iec;~ on ;a c;.he~~bp~rtl, or 6e3rc.I1 for cot16tf7ll.~tI0116 In the night 6kJ. -rhl'? Im~gf7~ making ~and ~11t- cre~ 3!;IVe- thpLJ~hi; ;;md ;action /1; e.ngf7ndel"'~ 10 n~ limited to the q,/1~cJal~ qiftetl f~. It 16 availal1le to 311 of LJ0. power .?f r---------------T--------~~ ~--, . . :o..""II!' ....."ie. __"._~,,_."'.~.:..--_~---'---"--""_ ~~-.;~........, I \ "<---------- ---- --~ \ For ~ome, -tihe Image~ ~ the. mlnd'~ ~ye­ C3n ~e. VIVid, con-brolled, .and m~t1lplJl.attJ. More- ofiiel1, however; ~he-y ~lf"e- h3ZY, l1rlef, ~ntl ;all 1;Ot;71!Iu~?lry. ev~n If vIvid antl clear; -tihey can c.ome -be7 mInd and J LJ<?t a~ ~LJtiden!ydl0appear. Tl1ey c;,an e3'7/1y In awarene~6 anti ,...epj~ce.d Ify other'7 In tl1e 61:;ream of C0t1~CIOU61'1~6, ut1le'7~ captlJretl 111 &1 draWIng. ~e 10'7t 140 The drawln~ exerc.l~e~ on -lihe. following ~tlmul~t~ you -tio draw p-a1~~ c,an h~lp from the. I magi n .:ltIOt1. Rt:tmt:om l1u' that the dr.awl ng~ you u~e ~re. not flnl<?hed r'ender,ng~i but- rather ~r.aphle- meJn~ to VI6U;:3! th"ught~ 'H I~ /e 1 '1 I,· d:- In drawing, we c,:mvert; ~ re-rcert;ltm 01" an Idea Int;17 Iln~~ on pape-r,; we make thought; Vl~Il?Ie/. ~aDh Image, oncedrawn, becomet? pari; of our vl~u~1 worLd ~md 'bakei? on a lIfe I7f If,~ own. It; ~b~l1dt? ~farb from the- c-re-ator .:lnd be-girl;? to dlrec.t d~e> own creation. rh~re I~ ;;In In'brlnt?IC i ." reclprocl'!:;y be~ween the mI nd ~md -bhe av1; bf draWIng. ImageeJ (Jf i;hought m:adevleJll?le can be- eee« ;3ntt ~ctetl urm. rhey rl:ay l1atik I nbt7 -!;he mIn4 ~nd COrlt?e-qyently !?rlng forth fur~h~r e-(aboratlot'l. rhey eXCiI'be and free t!'1e- mInd ~t? explore, develop, and clarIfy the Idea~ free;eni;ed. In thl'7 way, 'bhey further !5tlmLJI:;l~e the Imag,n~tl,m, 14-1 'I The. tJ~t t7f drawIng I~ a ere-atIYe ~rtlc~~~ cf vI~lJaIIZt3tlon. It 1Ir2lI1'5fo,..m~ ~ f1bank t?~eet c?f pl3f~r lnttl;a vl~iJal Image- which can c;omml,lnwate, Inform, rn'?truct, or delrqnt. Tht- '8olJrc~ of the- Imat38 W~ dr.aw m.ay be wh.at we eee It1 front c?f lJ~, a vl-t8lJal memory from p.a-t81; e-xperle-nee, or more. typIcally} a combination of botl1- a marrl:age ~ f~wc8ptlon and Imaglna-li'cm. ~ ]~ I) rI' I()~ l ~T.. 1 l)I~• I'JI( "'.. f~OM Throu~h &l proc~~~ I_ I7f tlv8traetlon, progre~~IVe.ly SIMPLIFY the~& Im.a.qe~. ...--------; THE: CONCRETE: TO THE Af;6T~AvT When 'b'r.a l1~vr Ibln~ what W~ eee onto a piece c7f p:afe-r; we have object Imt3~~ to gUIde lJ~ 111 LJ~" aUICie~ ~lJc.h a~ grld'8 anJ v/~LJ;;l1 ~/ght~ I rig t(7 mea~!Jre. -bhe ~cvur.acy of the our dr:awlng, We can drawn Imag". We LJ~u:ally '?t~rt With the vot1eret~, and In the. r.rov~~ draWing, we. tend tt7 a~<?trac.t the- fe-rce/ved Im:age :and 8mpha61ze what 1'7 Imptlr{;<3l1t to U'8. The- dr:aWlng I~ thu'7 .a VIi?LJ;;l1 m:ap of hoW we, eee :and pe.rce.lve wn.:at I~ '8,gl1lfICi~l1t, ~I1J what Int~r~t'8 LJ~ '* 3t 14-2 1;h~ mom~n1;;, o IilL-\.(~IN.L\TI()N: o IMPR.OVI~E a ~e.q.ue-l1ce of drawln~'? ~.a~~d 011 the. Im;aqe~ 111 the- fJr~t; fr.aI11~~, fROM THE AI3~T~ACj ro THE coNCRETE When we t3tj;e-m~ to -br;in~crrb~ wh;at; we enVI%:7n, we h;ave- to rely 011 the. I"lctlJre~ In OUr' l1~ad, ;a~ ~eel1 -lIhrolJgh ~he mlnd)~ e-ye-7 to qene-r;au -bhe- drawn Im;ag~. Ihl'? ;act llf drawll1g c.<Ilnnl7t be. ;a one--way, Jln~ar prove~~. rht".~ mu~t ~ej;wetn ~~II1~) 11t1;a1'l1ln.g} drpwll1g, .<Ilf1d ~eell1g ;a/1t~w. be ~m aC1;lve Interplay In tnl'? ceee, W~ gel1e-ral(y pror;ee-d frC1m the a~~fr~ct to the concrete,. We ~t.art; wIth a conc;ep-blJal cot1'?truct of what we envl,?I0l1 7 dr;awJt1~ the. ~lql1lflcant ~t;ructlJral f~atiure~ a'? by line,? and ~h;afe'?, rhl,? framework van then be. filled out; WIt-I-! matte~ form, and de-t.<lllli? defined vl~ual MANTl'tJr.ATe tih~ '?tt"uctur~ t1f thet:j~ Im3g~~ ~J reproportIOt1ln~ or r~~H'rangll1g the p3rt~. ~ ~ •...... ]~"XPI.A()li]~: •• Drawing t3llow~ LJ~ ntJt only -/;0 /"~fre'?~nt pr~cot1c;ert;lon~ I1LJt- ~l~" ~t7 ~xplor~ neW p'o~~I~lIltle~, Ai? we .dra~ eac./1 l,ne h.a~ '* ~he. f'0t~t1t:,I.a1 cl.artfYI ng7 t3/te.rl n~7 or addlt1g de-pth btJ the me3nlng of -t;~e. Im.age-. .,. n ' • • •) -) In the~e exerc.I'?e~7 eXf'lore. th~ Inter.actIVe nJ3tur~ t7f drawln~, ~~ open to the. p'o~~I1?IlIi;le~ It pre'?~nt? :3~ you ~t3 rc.h for pattern, man I pulate. '?tirlJcture, .antd c.re~t;.e tl1e- i1lu'?lon of depth .and move.m~nt, In ~xplor;at;ory dra WI ng;> W~ J3r~ tlklle- to fJ~e or ~nVJ~IOn from a V.3r'It-ty of Vle-WpOInt?, The?~ J3ltt'rl1;;1t;IV~ PO"'1'~? tlf VIe.W '31 V~ u~ flexll?r1,ty It1 I"bpr~?el1tl f1 g ovr VI?LJ;;I! thov~ht? ;md pe-roe-ptIOni?, Eaoh tyf,.~ dlff~r~. now~ver, In d~? c-3paclty to ~acrllt.ate. the. deve-Iopmt-ntof ldea~, Tht- follt7wln~ t?t-ctJt7n d'~Gu??e.~ them.3Jdr tYP~f? c7f VI&Wfc7l nti? .3nd the. dr.3wln,g c;.onVttnt/ltmt? to WhlC.h the-y le-ad, '* Or~ht'~r3pl1lv vlew~ pt'rbl".ay ~he tWi?-dlmen~lon:a1 a~pevt~ .;a tl1ru,dI m~n~lonal whole-. ~ee.3LJ~e. the.y t'ffe-r fl"'agm~nt.ary Vl~W(1 .?f r~.a"t.)j they mlJ~t f?~ ~e~n .;:16 :a 6e-rle-~ t7f r~I;;3-f;eJ • • • •• • •• • •••• • • vlew~. No ~ln~le o"'~ho.gl".aphlv v/~w c,;an ;ad~q,uat"e{y commLJnIC;;3~e a -/;hru-dlH1e..n<?/on:a1 o~Ject - form or the ~p;;3ce dMme..d by 5 • • •• •• an ;ar,..;.mqe.l11e.n1; t7f ~LJvl1 fi?rm~, 'l:- o om I~ th I? A nat or a doughnut ~ .>» D :h~~& thr~& form'? have latntJG;;31 pi an VIe-WfJ. ()rlfI-I()(~n.j\l)I-IIC 'TIJ~'TS OrthCJgraphle- VI"W~ are:- afJ~tract 111 {;h~ ~e/1~e th.at they ,do not. rn;a~vh OpblC;;31 r~a Id:iy. Ye-t, -/;h~j ~o htwe. ott e. adva n-tage. over mor~ ple-tor/al Vle.W~. When r~/?re­ q,en~'n~ ~ plane- p.3r'a/lel W -t;he plc"/;LJr~ ~1;;H1e, ort;hl7gr.3~hlc Vle.w~ are able to q,now the pl;;lne..'~ true ~hare and pf't7por'i;;JI7/1~1 and C;;3/1 i:?e Jr.awn to ~c;i:lle. rhll? rt1;i:lk~ ori;.nogr.aphlc. drawlnq~ LJ~bftJl //1 COmmUl1lc.atln,g aoourate Informa·t:1o/1 for the product'ron t7f de-8lgnul obJ~c.t? anJ 1% c;orl~~ructlone;. ~Inv& orbhograrhlc Vlew~ do not Inhe..renJ;[y cO/1vey d~p~h 1/1 i;he. thwtl dlme,n~lon1 whatever d~rch -they have mlJ~t I?e ImplluA bhrough the u~e of qr.aphlc depth clue~, ~LJc-h ~~ v.arYlt1g line. weI1ht;;.~ 2iI1J tc:?nal v.aIIJ~, In addition, plal1~~ whrch ;are curved or ofJ1J1U& to -/;h~ flviure pl;ane ar-~ q,r,c:?wn foreq,horten~d or tiJ~"rted. rhll? dl~­ 1;ortlon ,~ difficult to convey In ;3 lIne drawll1~} whIch can lead wamblgulty //1 the readll1g t7f.an o~Ject~ true fi?rm. ._ %mto ~~~+:+--+H--.....j ············:tlIBIIIt········_· ]II!!I!!I!!!lf : ):................ . . v . Shrln~: pf K.amIJl~y3ma : : ..l~l!~e/L.._ ! .. ~ /.' / . , . / • • • • • • • • • • • • • • • • • • • • • • • • • DODO OODO DODO DODO A ~wo~~lmt:n~I()I1;a1 grid I~.a l)~t:ful de-vrc~ fll'r the layout; .~md C?/",ganlt;1t;IOI1 CIf C?rtho~ graphIC v/e.we;. It; rroYld~:a n~[)tr..al b~5e upon which rel;a~llI't1~hlp~ pf ~l1are.2mtJ ~Ize, can t?e- expl"re-d. A grid m;ay COt1~I~t of dO'b!i', Ilne~, or ~hap'e.~. L?()t~ art: gui?tle. rl-mlt1der5 of ro~d:il"n. ~In~ reY,'/"'elf7ent' the verb/cal .and the. hOl"rzont;l/7 ana re.gulat~ th~ gracIng t7f ele.mente;, ~h3pe5 define .are-..ag and emfh3?1U/ If7pace r.ather than PI7~/tIPn. 14'7 I ~ ~ xr-~ , I I I I , I 0·.. ?DJ··> PI4il11 Vl~W? rew:,al the. horl zOI1 //aI of form and I I x: 6 Plan VI~W~ fre~t<nt;; a COl1c~F't.l)al h~ Id of action for r,orlzont.al force~ :and o~pec.t~ ~ra·h.;al rel:3tlon~hlp~, m \ 8 A pl~n view I~ ~ view 10t'kll1g dow!1 Yet"t-I~.;3l/y from above, Wh~n VI~Wll1g ~ ~m~11 ol1Jevt 111 thl~ m~nner,' the ImageIq, vl7mml7t1ly kl1owl1 aq, :a 'bor View, Ihc. '7trenqth tJf r13t1 view,? I~ thelt" ab?rllty t(1 i1lug.tr;llle the horl~nt.al rel21tlol1~hrr~ of wha~ we eee or enVI61(1n. lhe~e may ~e rel:a-tlon~hlr~ of fLJt1CtIOt1, form 7 II1-berJOr or exterior ~pace, or "f p~rt'~ with In .;3 greater whole:-. In thl'? way? p'!.;;ln vIew'? match our c(1Mep'ttJ:a1 view of thing'? :and dr~rl:aj the fIeld pf actIon for t'tJr though-t~ ~t1~ Ide:a~. 7 6 5 4 3 2 1 v~mel1t, I COl1vt-ytt1g deptrt wl~h alffere-nt line- we-Ight~ ! W/~h ~LJJld /t1~~ tll1d other v(Jn~truttJot1~ , ~- ------ PLAN' , --....----_._. __ .._-_ ... whIch Involve ,nf,eI"'IOr 6p:ac;t- wIthin :an enclo~lIng form, th~ plan 16 ;a downw;ard vIew (Jf the InterIor ;aHe.r ;3 horltl7r1-/;;a1 p/:3l1e h2J6 b~en cut- through -the con6truc..b'0/1 tJl1t1 the top p.;wb rt-moved. In thl6 type t7f plan dr.awlng, It 16 Impt7rban'i; -tQ empha~lz:e In :a gr.aphlC w.ay wh;;at h;;a~ been cut, :and what c;;an !?~ 6een through 6pac;e l?eyol1d the r1ane ~ the plan c:;;u'/;. VieW, we- eee ver-!;,c;al plane~ g/mply 216 Itrte@, fhIJ67 there 16 no? Inherent; depth In -the third d/l11en~ltm, However, we c.,n LJ~"lze different line welght;~, ;a rangetot'!;;al v:alve~, ;;md ln any plan ~h;;a(J"w6 '* to v(Jnvey the de~f/"ed gel16e o?f depth, Set;trol1 VleW'7 r~~ulrt tne 2117l1r'by ~urf.ave- of -!ih tn~~. to t7ee, A f,e,d/tJn Vlt-W I~ '?Imll~r to 3 r/:a11 VI~W' th<3t It 21)'70 Involve~ a cut throlJg h what W~ 3re dr~wln~. 111 ~hl~ ceee, the. c::ut I~ a verb I c:::al ~llve ~nd the- view I~ not"lzont-;a L In 1?o 17e,I1~.3th -li~e­ SectIon vlew~ ~re LJ~eflJl In l?orbr~Ylng the ve-r'blvpl pnd on~ of the 110rlzont;[ dlmt-t1~ltm~ of a form'/?) InterIor m~'be­ 1"'131, c.omp0/?)l1:;IOn, or aI3l5emi:'!y. ~u,t'lOl1~ vU-/; throu'Jh t11,1( /tllngfJ :and otl1e/'" (;0/1- '8trLJe-tlon/?) With m17erlor '?ppc,e~ v3n ~1~17 ill U~1:;r:ate the v/t:al re-13tlon~hlp~ ~et;weet1 ft7rl11~ :and tl1e ~I?pce~ they define. B~(;h'm vlew~ pf InterIor '?pac~ Include wlte,..,ot'" elev:atlon~ 'Sun beyond the ve.r~lc;a1 I?I:ane pf the cut In prde-r w convey :a '?e/1~e crf de.rl;-h, It I~ Import3nt to e-mph.a~lze thematerlall3l th~t;. 3re cut 111 'Sec.tlt1/1 :and to dli?tlnqlJl'?h th~e '8e(/tIO/1~ frt1m wh~t I~ i?eel1 beyond In eley;1;lon. \ (;r(J'!;f;, '!;evtl(Jl1~ rt:f« t(J <?CC.tIOI1<? vU'!;; through ~he <?horf;; d,men'!;lon of -bhll1gtfJ, while lonqJ-budln~1 gec.'blot1tfJ :are CU1:; throuqh the lon~ dlmen~It?t1. In either c21tfJe, 11:; I~ nec;e<??:ary to relate ~ectlt?n \ \ A ~el"le~ of tfJec,1;It?r7 View'!;, -baken 111 ~~.q.lJence) cal1 oHen reve;al ch;ange€l 1/1 form~ Itetl;er th~m :a tfJJngle- ~e-cblon~1 View. complex :ima Il"regtJ/;;lr dr;awlt1~? 1;(7 the p/;an view tty InJ,c;a'blng In the pl~n wht-re -the gev·bt?11 cubtf; ;are made :and 111 what .d't"ectft?11 we :are lot?kln~. 1~1 L~ [ -- D I 0 I I A ~lm~le- l,ne. dl"";lw,ntJ df An e-Ievatlpn can i?" 3111!7,.gUOUt? wrtl1out- the u~e. ~ graphtC- de.rtn clue,~. en [] IT IT An elevation view It? J3 hc7rl ZC)t1-!;.:a/ vieW looking .at t?omethlng frc7m the olJtf11de. elev;;Itlon~ the.refdre empl1a~lze the. ex-t;erldr' vertical 0IJrf.%e.f1 t?f o~Je.c~­ fot'm~ tmd -t;helr ~JI ht?lJettefJ In ~p~ce. Frontal VIe.W~ c;f vertical f1urf.acefJ are clo5e.r f;/? poercert'lJal re.allty --I;h;m either po/an or ~ectlc7n VleW6>. Ye-t they c3nnot repre~et1-/;; the dIm /t1I~h't1g ~'Z(~ of rJanetb a~ -they recede frpm the viewer. When we draw J3n o~Jevt'~ f1l)rfaoe~ In eleva-!;/c7I1, we mu~t ~aln rely on gr;i3~h,,:. cuee; to wnvey depoth, curvature, or c717IIq,ue:-ne6>6, ,,,z a t1 L::::.. 0 While an ele-V;;l-/;;,on dr'J3wlng zan t?how the context of c7bJect- fc7rm€t J3nd the relablont7h,ps \:7etween a number c7f form<5 In t7/?ace, they dc7 nt?t reveal ;;Iny rnfc7rm.atlon abOiJt -theIr Int'e.rICW&. ~lev;ltlc7t1~ J3nd ~eetlon~J howe.ver, can be cc7ml?lned wl1en draWing 6>Jmmt-t- rlvJ31 ftwm~ and con<5trLJctltm~. fl"'ot1t !:!t-V3tltm~ U1:al?le lJ~ 1:;0 i1lu~tr;lt;e. eI1VIt"t'nmental ~t-ttlt1g~, .and to .,-cudy tl1e prof'"rtlon ;and compol7l1;lon of I:iLJlldln~ fac.~A~~. »: »>••- - - - - - - - - . ••• ~ ./ I'tl I I I Ai? we- move .art7L1n.d wh.at we .are- vJewJMg, we- eee a ~e.rle~ tlf relat-eJ elevatltlnal vlew~ whlc.h th:ange .a~ tlLlr' rO!;I~IPn ch:;:lnge~. 1he~e. vlew~ c.an be IOgIC.ally re-l;il~e.d In h(7rlzot'l~.a1 0erle~ (7f dr;ilwlng~, Or' In IJ 0/ngle, comp't7~lte. draWing :a~ If they were unfolded .and J~ld t7Ut' on 6Jngle. pl.ane-. a a '. ..... ----4.-.-.. ~- For c;/arlty ;;md e?rren'!;atlon, an eleva1;um draWing can ~e Jal?eled according be? It;;~ reJatilon011lp to ;an p:;:;umed frt7nt faoe, the comr;a~~ direction It facee., e?r the. context fre?m wl1lc.h the elevatiltlt'l I~ ~ee.n. -rhrt&~dlmet1~Ir?I1~1 VI~W~ mlt1lmIZ~ tl1e.,~~tra~tlr?n of orthtlgr;ilphl~ VltW~ ;;3nd de;;1 ~lmLJI{;;;;t1&tlLJ~lY W/1I11 h~l~h!;, width, and depth 111 a .,tngle. Image-. They "r~ "ffhere.fore;. clof!J~ t'r? QUI" r~rc,~ptLJ~1 vIew t?f reality, The 'bWr? prtn~lpal -byre~ (1f three~dlmet1~lonal vlew~ ;we p;mallne and pe~pu:tlVt' Vlew~. ~t?f;h t7f the~e can 11~ effectively 1~ld Qut ;3t1d c,Ql11po~eJ wIth a three~ dlmel1f!Jltll1al grJ~. , ...... . ........ " -e- .' '. ," .r" .' .> " ./ .. ........ .' . ' " •.1:.' • -, " ", " • O~TH06AAPHrc VlcW'5 .... .... " .. .. .......... ......... ..' <, <,; ,. .' I~ i;'ne ~3?1e- fClrm upon whIch we c.~m ~uild a three-dll11el1~lr?nal t3r1d. lill? lJ~eful ~Jnce It;~ ed~t' ;3nd plat1e~ .,re p;:lrall~) tr? the x, y, ;and z coordinate, sy~tem. liI can therefr?re l1e u~e.d se a l;nlt t7f l11e.a~uremel1t; i/Q ~v;ale heIght, Width, ;mtJ de.pt;h vOl1vu,..rent.[y In ~my three.- dlrtle.I1~loHal VI6W, The c,l.Jve• fA!i:J.LINS V!E:W • PEtE:5PEC'TIVE, vrEW A cul1e oan ~e ~1Jf?tr;.lc,t;cJ from or adde.d on i/o. /11 can be q,LJ bd IVlded Or' I11UI1;If1IIe.d. In -t;he~~ W.i3y~, v~rlt:'JJ<? derlv;3i:lon~ ~t1d c?om~1I1~tIQn~ t?f ~h~ CLJI?e. can l1e t::l~t1erate-d ~nd u~8d tCl tJefJne the-1eQmetry tll1d q,truc;ture of m.?re vom pl&x fcwrn~ tll1d gp.i3ve~, The u~e of Z,dlr11ul~lon~1 vle~ Ie.;ad~ W the, d~v~lol'mel1'!;. tf ~ytr1 L1oli? ;md ,hagr;iI11i?, When dr.awJn~ what W~ &nVf~lIm, however, We i/end w;tJdd depth to even the flatte~t' rerrefJent.atlon~, We C2lr1 do 1ihl~ e-afJdy WIth t?-ar.aIIt1tdr.awlng~. f'ARAt.fNE VfEW? f;l.lr.;;lln~ Vl~W~ ;;lr~ plctor!;;ll vlew~ WHlOh C~/1 commlJnlc;;lte -three~dlmeni?lor1;;a1 ft1rmi? ;and ~f'atlal r~latIOni?hlr~. rht-y c~n be dlt?tlngLJJ~h~d from fe-rfJt?eol;lVe:.~ b'.t the foJl17wmg conventl~n~. P.al"'all~l jJne~ remain f'.3r.3l1el ;and do ne7'/;; convef"~e ae th~y do In perfJpuh(e. In adtilt-loM, Irn~~ r.arall~! -bP the. x-, y~, ;md z- .;;xe~ ;I.lre.. normally nt7t fot"e~hortened ;;lnd cpn ~e drawn 1;P ~l.iplc-. f?ecaLJ~c- t7f conve:.r~~I1c;e, their ~caj;ai?IiJt;y .and lack ~ p;;lrallne- VleWi? ;;are m17re e;a~lly ~r.awn -bh.an per6rectlVe~ and pr17Vltle- ;I.l q.ulck me-bhod filt" vli?LJ;:lII~ln~ thmg6 In three- dlmen61t'n~. They are pariilcul;;arly 3ppro~m;at~ for dr.awln~ 6111::a1l~5c;alo obJecl;6 6Jnce -bhelr form~, even In r,eri?peC1;lVe, do not exh,b,-b" a 6h::arp degree of convergence t7f f'pr;;llel IJne~. ~---- : '.:>I / / I fLAN OBLfQ1J£ ELEVAiroN OBLlaUE. l' I I I I I , I I I 1t7 ~ ptlr~lln~ .dr3wlng whlth nOl"ltonf;;;J1 or vertical ~lJrf3ve '* An ot?IIe:j.lJt- vIew LJE7eE7 :a wh~i:; we :;we drJwlng tl6 a ~a~e pl;;Jn~. 10 1I1L1~tr;3te thl~, Imaqlne ;;l cu~e-. We c.;;m take Ib~ ~obt;ol11 face ;1t14 dr3w 11; se a ~ql):ar~. We can rt'ti;at;:e ~I~ vqpare 3t ~ome 311gle ~o the horlzcmtaJ, Nut, we can project v~rt;lcal IlnU' :a tJl~t.ance equal to the ~ide of the CLJ!1e from eavh of the ~a~e:- gq,u'iH"e 7g four urrl~r~ rh~rl we can draw the top f3ce of the cul:?e :at the ~ame ~Ize and dr'tent;a'blon ;;J~ the. i1a€Je, ~uare. We c"n :a/~o draw the fron-b f.ace c:f the cuve a€J a gquare7 and them project the boy?, bottom, :3nd g,de5 !?ack at 60me ant1le to form an e!eya'b,on ob/ltf-ue. If we U5~ draftIng trrangle~) the ;;lngle fen" recedlt11 plane-eo In an o~llt'fpe view m3j ~e. 50~ 46~ or ~O~ In gket(/hln~, we need not be;3f; p'reCiI~e, bLlt; once. we e~;a~II~h ~n angle, wen we ~hould lJ~& l'~ C0I1~15­ 1;en-/;ly, We ~holJld ;a160 remempe?tr th;at/ the :angle we L):;8' ~ffevt'f) how mIJch w& .q;ee- of the recedlYl~ r/;ane~, ~ ~ ..x:: ~ ~ ~ It ~ ~ ~ 11~ e-x~ende-.d or eX1;rLJdetl IMbe? the thlr~ dlmen~/ol1 by t?1t11ply Jrawln~ ;3 ?ertef; of f'ar.aII~1 I,ne-e;, Pdgr~ma~t~.3ltna?)r Churth ~t Vlerz:ehnnerllgen (1744'1~) Nlwm;ann ~ ~ ~ :I: 6311 ~ 11 ..x:: Objl~pe Vle-W~ ~re, r.;ar1;I~LJI~rty LJ~efLJI whe-n drawJnt3 ~n obje~t wh I~h h.;a~ a ~ompllcated Clr c,lJrvlltnt.;ar rre?rde.-. rhl~ rre?ftle C,,11 fw-?t ~e- drawn In an Clrf;ho" ~r.;af.hlc plan Clr elev~tltm VI~W. Then It; '0 When drawing pel"r.end/~L)lar .s:::. ~ <;,:; :c o~II~.LJ~ Vlew~, dlmel16lpn~ bo tHe i?a6e whIch arerelatively long Clr deer c;;m afpe.ar tCl ~e­ exaggerate-d. In &lJCh C43685.. It I~ fO~~1J:11e- 1;0 f"re~he?r1;en line£? Wl that awe-ct/on, at? IClng ;36 :;al/ Ilne~ 1t1 that d /rutlon are- fore~hClrtent/d to the~ame tIe~JI"ee-. 1"7 ~ -:-. '-, ~ i ~~oi9~ : .. #- ...... -' -:' : . . . ," •f;., ~~ 4 '..... {~o- __ • ~,j. ,...;~ /-;;OJ An 1~17111~1;rIO vIew I~ 'i:l far;;JIJn8 dt".awln~ where the. prlm'i:ll"j s-, Y-, .and z-;;lxe~ are ett,!J:a/ly IZO O d~rIH~~ :apart 17r1 the. pIcture pI3t1t<. All hO/"lumt3/ 3nd vertl~:al pl:;m~e> :are projuted \?3t:k II1~O the depth (,f the dr3wfng. It; F.re~~t1t~ a ~llghtly lower ;;angltl of Vle-W lIn.m art oblltq,LJe. view and tend'? not to el11pha~lze- one planeoYer :anot.h~ l'li ~IV~ a 'bf"IJer Im3,ge of relatIve propor-blon~ an.a I~ nob ~LJ~J~vt to th~ d/~t"r1;;lor1 Inheret1~ In oJ::1/lqlJeVI~W~. To draw ;;311 l~ome.irIO view of :J c.LJb~, fwq/; draw :a ve.rt Ic.al lIne eqp.al i'ti' tn~ hel~l1t I7f the CLJb~ Inen dr:Jw Ilne~ from the wf' :al1d bottom of th" Vel'l"t1V31. fI1e~e ~e at:J ?Jo fJ ;;3t1~le from the. norltont3/ :and b~ the '5:ame- length a~ -bl1er Ver~lv.;;31. complete 1;ne cu~e '1 tlr~W1t1~ /Jrl~~ whloh are r3ral/el to {ihe "l1e~ c?nou/.a :already drawn, A predrawn I<?ometrlc grid I~ u?e.hl ~k~tc.hll1'8 ,·JII'I1e.MIOl1al Idea~. .Ll. t []. ! W i~ /i'('" /' I-o...:\.~ I ! I .,\~ r_~Wd~' I 11 -~ I, I ! ~ &rld 1./ """,,'" i/ .. \\''\ .\\.." - .... -- ~ '-';;~/ o~·:~~~// ,t~ ... ,\. \ ,.~~ , ~" ~ \'-" ~ .- <, ,/' ~ r I ! I '~ /' ~ i // -: V p.arer C.3n al~o ~e u~eJ for If tll1t grid r'0lnt? tire ~et:11 :3~ re.fe.rel1ce POII1j;;~ ft'r :;a11~leJ Ilne~. Both I~ome-trl C~ ~ nd obl,t:j,ue<? can effectIVely Illu'7tr.1te. the. a'7~e.m!?lj .and o/,?e..r:a1:;IOI1 of de~lgneJ obJu..t~. rer~f~c.tlV~ VI~W? are. more- illlJ€'I1;ra'b!'re of how we- rercelv~ retlldij th~n ~Ither orthoqraf'hl(; ot' p:;:ll"allne. Vfe.W~. ,hey ~re. hIghly p/(;torlal ~md Ide3/ for r~pr~ent .. Ing ~w(;h i~~ctlJr31 ~ 6CiJIe- form~ ;and '?paces. f;vt l?eca(J€'I~ they can e.a~dy 11e dt~torted7 visual JlJdgmen-b !?a!5e~ 011 experlent:e I~ req,uwed to rroper(y portray s(;ale -antJ depth. 1~O In drawln.g rer~pe-dlve Vlew~ we- can agaIn 11egln w,~f11;he basl(; ClJl1e. OnU< we. are able. to draw ClJb~ from v.arIOlJ~ Yle-wpolttliB In per~pe(;tlve;., we can ~ener3te othe-r geOtt1e1i-rl(; solIds - the (;yl/nde-t; (;Ol1e, ~nd ryr3tt1 Id. fhe-seregular form~ can l1e compo~etd and orgJ3nlze.d 111 a l1uml1er of way~ it? form the '8trlJvttJral framework for moreGom f'lex form~. The ,ac,t ~ dr.awlng I~ the on lY way to develt'f i7killln ~ketc.hlt1g wl1e~ :m.d tl1e related ftlr'mi7 bh~j qent-rate. fra~tlce, therefdr~, I~ ei7%.nblal. e-e~ln by traCing the C-LJbe~ In the a~tlv~. AI50 refer l?21c.k thl: dl'7W~~IOI1 of 11I1t..ar fe-r~fec­ rf! U'7tratloM to trve., rp1~~ ~~ - 1~~. 10_--------, " 7 tP ------..I.-----+---+--------f-It+-H ! Hl7rl'um ~111e. r~r?rettlVe qrldt?, ?ueh ~'7 bhl? onto, ~--­ ?erve a? qu Id~? ft;1I'" the- V'?lJ~llt3tl"l1 of ~oth e-xb~r,,,r ~n.d Inte-I"'Ii71'" r~r?r.ealve­ VI~W? M3t1y tYr-:>~~, VJrylng /11 ~cale. 3nd rOll1t of vr~w, 3re. comme.rc,,~II~ ~vJd~\:1Ie-. t;""" 1'- ..-:: /1. , \..v ~ , I I\ I n I :' (~ I oa...' ~ l~ :att~m~-bll1g to draw :3 freeform or Irr~gL)l~ar ~h;ape. 111 pe.rifJf'ec-1;;Jve., we. C:3n flr5t draw ;3 r~LJlar ~rJd ov~r -the- ~h;ape In 2n ele.v~bfon or flan VIew, Afber When tlrawlng -/;he ifJame gl"ld we can tr;m~fer to -/;;hl~ 111 per~f.'ealve) r.'er~/1&Ciwe ~he ']:>har,e qnd the POint']:> where. croeeee bhe. ~"'ld 1/l1e.g In the- elevahenl or pltH1 VIew, lJ~lng -/;;he~e ~01n1;~ ~5 g IJlde-} We c,a11 per~pectlve, dr..a w the I7h3pe In a '"I If we ~,..~ ~111~ to br~~k down what; we t8Uor enVI~lon Irrt;o re~ul:;ar ge.omebl"lc t8olr~~) we t.3t1 more eat8r1y dl".aw tht-m :and &buJj their rel3tl(m'7hl~, We; can reor~:anl:ze the form~ In an ~dtld;we m.3l1ner, or tr.3I1~­ form the-m In .3 t8U\:?t;I";;C-tIVe- t11:3nn~r: lhe. r~~Ll/f;II1~ geometric. *ruvtur~ C-3n t:.hen ~(;t've se :;a frJmework for the t/e-velor.m~ni; :and refinement; I7f the; formt8 ~md ~paue; we ~I"e- Jet8lgl1ll1g, 17rawJng norm;;lI)' hlt/del1 Imet? l1elrq, ue rbt~lt1 ~ 6en~e- of '?'tructu re. :;al1d vol ume-, ..._----....p..........~ fROM" THE f'ART6 TO THE WHOL.E. A t::1Jt?~ c.-n ~e e><J;e;nde.d horlzontallY1 Vel"blc.3{{Y, ae well :at8 Il1to the dept-h of a f.':ar~ltne or per~fectlve VIeW, The- cu!:?e ~hLJt8 vetlome? .3 three·dlmen~lIOrr~1 unit of meat8LJI"emen~ whIch can be u~ed bCl %ruc{;;ure- ;ilnd regul.ate a v.arlef;y CJf derlV.ab,ve:- cOmpO~I1;:,IOn~, 1~2 fROM THE WHOLE TO THE PAt<::TE? Working from :i3 ~Imple., requl;:w form; we can '8electl've.(y r~move pol"~IO'n~ wlt:hout; IO~II1t1 the Identity :and '5&t1'5e t7f the whole. In ~rO'ce'8e;) we u~e -i;Ihr~ '8LJl:?tr;l~{;lVe the- '801Id~ VOid relatl0rl~ 6hlp between fOfAm ;ma '8f'.a~e :i3'8 the g&l1er13-!;lng pr,nelfle for what we create. We- t11LJ~t ~l- willing to try different fOlnt~ of view to flee. which GOm17ln;atlon of ortnogr.-apnlc, ftwallM, and r~:.r<;if?evtlVe drEwlngY,i l?8~j;; illLJtjtrJte~ our Vltj{on. In ar:y<;ilnl1le view we drEw, wemu<?t becontinually 2ware. of 0ha re and rroportlon, --t-+-- --+- - '., ., ", • STRUCTUR.E OF THE D~AW1N'G • f'HY;;!CAt '5TR.UCTUR.E: When dr~wlng :a c/omr1ex orq13l1lt131;ltm of ft7rm6, we c/~n wr?rk In ~t7th an 13dd 1~IVt­ ~1I1d. a ~ul?tlrac/tlve m.,nner. The re~lJH;, ng formal ~md c:7pablal C;t7mr't7~I1;It7n J~ LJ~uallj an t7u'lil/t7me- IJf ~trLJc/ture, whe'lihe-r f.hy~­ le/aI, v,",u13l1y perc-elVt-tl, or conoeptual. In thlt5 proce?? t7f geeln~ ~tt"uc,,/;ul"'e, wemUt5't flr~-f; create the t7rqanl£ln~ fr.ame' work before fillIng out; .and ln1age-. ref'n1n~ the. ,?tJRFAC£ \. - ,, ., • fERSPECTIYE STRUCTURE. L ..s;. • '?FATJAL <STFWCTURE. ~-h~~~~~~\~ "V::....::;.~~~~~ , ~' \~ \ \i \ 1~7 Once- we- fl1rtrl-? In h3V~ th~ l1a~lC:; .arral1~emet1t ~f 6P.av~7 or the ~1;rlJc:;tur~ of .a 5p.ac;e .a~ deflne~ l1y tl1e- form~7 we- c-.an 17egln b17 r~f/l1e- t-he Im.age-, Wl1rkln~ fr17f11 the ge./1&ral to the 5rec-lf,c-) we &t3n l1egl/1 t~ de~c.rll1e ~lJ.:llltle-? of fl7rm, 6p.ac;e., 'bexi;ure, and Irqht wlJihout 1~61ng ~ 6&116e. of the- whol~, t I. tJ F _._-- ..... _ . _ - - - - - - - - -_. - --_ .. ---- l-b I~ ImportJ3nt to LJnder~tand th.:lt: we. nee-d not 11e. conc~rned wlbh therenderln~ eJf;; rhubograrhlC:; reald~y. In6te.ad, we 6hould .atte-mr.t to CiommlJ- nlCi;l3t~ ~pec-Iflc q,ual,tle6 i7f fi7rf11 -;:Ind 6rac-e-, and thl6 17fun mean6 boltratlng a tJegrtt t7f IncomF'l~te.n~6~, The- very InCiomrl&t,ene~~ of a dr.3wl1 Imaqe- acknl1wltdge6 the- V/ewer6 tlf -I?h;ilt I mage- anti In yl'!:le~ f;he-m 1;&7 rt3rf;IClf~be In I~ c-omr.1e-t,ot1, ~ven our p~rc-erblon of op1;Ical reality I~ LJ61J;illty Incomple.te, /1eln~ edIted by the knowle,dg~ we- 17rlng to the ;;C:;t IJf 6ee-lng and our ml1mentary need6 .md conCi~rn~. ., i J. I t-----"-.-.-.-- i Ii'ViI I J i ! 1L- ---l I ._~,_ ..-e: I'I \: I ... --.--.--0~----.~ .... ~~ '* In drJwlng VJew~ an exterior or interior ~P3Ce, we- ~hould :atte-mrt tp gIve the Vlwe-r a ?et1~e of being In .a pl.av~ With dl~tlnvtlVe vhJrJc-terl~rf;IC~. Hpwever; before re-fl rll t1~ the p~rt~ - ma-berf.~1 ~lJrf3c;.e"~ (/Olpr~, and 1;;extl)re~ ;ant! the t1.LJ~l/ty ?Jf lIght - we mu?"b flr~t define -bhe- ft?rl11 7 '5c;a/e, ;an4 enclp~ur& of the 6p2lCe-. 170 We. ~hoLJld ~elevt IJ VIewpoint which frame~ the view In ~LJc;.h ~ w~y gLJg~e~t~ -f;he VIewer 1'5 wl-/;h,n tl1;at a '5race, not m~rf/ly OM the oLJ1;;tJlde lotlkfl11 In. le? do-bh/~, we ~hOLJld Include fl7reqround elemeMt'5 - overhead, tp the ?Ide., or ImmedlJtety In fr'Pt1t t?f LJ6' - through which or ~eY,1nd whIch we exrerle-noe -the ~pave. 1i1 A~?umlng ~jhorlzontal line. of '71\ hi;. 3f1J ~ cont ~f vl<?lon, -tihe ~t"OUt1J rl3ne. - . . , . : - -• .; ..>_ _ I~ J3 • __ • ""'~"f7 OLl 8 feet '"JW3Y, lIMe ~f~bL.----') ··~.or ··.!"IS -. JO ~ ... ~.. ~round f'1~11G- '70.: <c: \ \ -:» ----- .. - ~ --- ......... --' , ---- ... . . __-----f-. ~-. --- ... ----...:....------,- --'" .~ :, - ..... --- " ....' . . --J,..,_.. We c;an tfjee, ;;a '7p;;ac,e, In 10 e:-nt-Ire-ty on Iy If we '?t~l1d out?ltlC. It~ bt7un.d;;a",,~, I------~- ,--------- AVOId ?ymm.e.tr'lt.a1 VI~W~ Into a c.orne:-I". .. :}"' It 1& LJ~u;aJly .,dv;ant.ageoLJ~ If w~'c;an thra &ldUJ of ;a i7r;;ac.e-i l.e.thpgeform& whIch define- the ~p.ace O/11;nre,e, tEJ(;(; &,de,~. cm I)' f?~~ tWt7 I?ldei~ ;;a corne-r; bhe- vieW could !ppk Ilke-;a ~t;;age '!?e.t ;md l;acl< thefeehl1~ If envlp~LJr& whIch glve~ If w~ meetl ng ~f; form tC7 the ~p;ac;e. 171 w Con~ra~tlng ton~1 v.alue~ Jefrne ;and form? S]~J~IN(i· ~h;afe? I\ : l II \ 11 ' c~t '?ha-d·;;w~-r&v&aTT;rme;. ;and UJn vey a '7&n'7e t7f In '7r;ac~ depth. 'The orlent.atlon of q,h~dow? -/it-Il'? lJq, wh~re the- lIght ,?OUI"(;e l~. J..IInIIl'f Llgnt make? form vl?Ib?Ie- ~y illumInatIng '7lJrfactl? ~n.d texture? f?ut wIthout the i/ontraq,1;of ~hade.d BurfeJceq, ~n.d C&lq,t e;,h;adow6>, It would be tMflc.ult -bo eee the ~freot!7 t?f lIght I1n ft7rml? In q,p.ace. In dr;wlng, therefore, the prlni/lra/ rea~on? ft7r u?ln.g light and d~rk v.al!Je~ ,are bt7 enh;ance oUr' ptWceptlon df form, dlff(;ren-blatc. one- form frt7m :al1other; Jrbu;;ulate ~p.atl;;J1 reIZlbIOn~hlp&, ;;md to ~ol1vey a gen~eI7f de~h. 172 ~. Wne.n df"aw1nt3 what actlJ~1 condlel"l1~ we eee, W~ have bht- of II~ht, gh;ade., antl dra W'I1~ and renderIng if -bonal v;aILJt:-e;. ana 1Iextvr~~. ~h:adow 1;0 qtJlde our' When drawll1~ what we eI1VIq,lon, we have no '?I)i/h .gUide ~lr1ce ~he Image~ t7f -the- mlnd}~ eye are not alway~ u'Y,?{;31 clear. -rh~re-ft7r~7 we. rnU/71; on ve-rb;am frll1v/pIUt whlc.h r~jy can d,rei/f; our u~& of ?hade- and '7hadow~. • If our purfoq,e Iq, -/io define '?h:ppe .and forn11 the fr'tc/~e. c::ionq,trlJctIOI1 I7'f ca'7t ~h ~dow'7 Iq, nV't nuetfJ'7 pry. • A d,l7cernlble. vontra'?t 111 tol1al value1'7 (;'7~en-bI.a1 for -/ihe rerceptlon t7f ed~e'7 ~3I1d corner? • 5haded q,urfa.c.eq, and c~'?t q,h.adow'7 ~re LJ~lJ.ally not 0ra1ye.. nor con'?I'7tent 1t11;on~1 v.aIIJ~. Porm~ m~y ~e- hidden fr'Hrl VIe.W bu~ '711~dow~ they C;I'7t c.;ln re.ve,P1 th~lr ~11:are tine -> ~'~i;I,;;.,:"-"-" ;;;;;,;;.--_.,',. ""~'--"'-----;;;::;;~"-~-'-~---. 17~ . 1 f ; ; 7.... ··--~------- : Z ... (1lve 1---\--- --: G+-....:.---.... ne'?~ ;;mA volume., ~ Clothe. the. figure t:lj1pro- I ~rlately, ! Avoid u-inec - ;+..-....--.- . • \ I i i I t.he. ~ltk rt?und- fI.~ure fl. _. - - :~) ) I I . o i 8-U- ---. ----- J------- --1 I I I .. 0 1 C()NSI)}]~llIN(i- IJS]~ Jt I~ u~e-flJl, p,t3rtIGult3rly when drawing ;arl/hlteGtur~1 .;and urban t?veneq;, to ACii;IVI~Y In tl ~rawln~ I~ Indlc3te~ by i;h~ grouflng~ ro~t.ure., and dre~c;> I7f hum'an flgure~. LJ~e the relatiVe fror.orl/I,?n~ t7f body p3rt~ a'? 2 gVldewhen .:;ketc-l1ln.g tllfferent poc;>ture~ and ge~ture?, [7re~~ figure'? appropriately and remember th;;l1; the. amount c?f dei311 ~nown dlmlt1l~h~~ wIth dl~;mce and ~c.al~. Inc.lude ~eople to ~;;lblii?h ~c.ale ;antlLJ~e) ;and to de~(/rlbe our re/;a-/ill7n6hip bo the. en VIrt? Mment, fhe flgLJre~ we j)~e -/;0 fOfU/ t3te a drawl ng i?hould l?e In ~c;ale­ WI:th the- envlrt?nment ;and be- arr.:anged to Ir1JII;ate. -/;he n~t!Jre t?f bhe aGtiVlty ~pr'rorrla~ -to the r.13c;e, 1he flgure~ I7tcome Import;mt eleme-n~~ In t3 comfo~/tlOn ;imd t;hould not conceal or dl~r.act from a dr3wlng)~ e~?entlal fe-aiure~, 174- 1 i l We: 0hQuIJ InclLJde human fIgure? In ~II drawing Vle-W~. In I~ometl"'(c? ~nd plan Ql?JI~,u~~, bhe- VlloW I~ dQwnwa,.....d ~md flgu/"e~ i?h()lJld have i?Ol11e de~re:e- c?f rQund ne'?'? to Indl~.abe theIr vc?lum~. u.······ -;:. Onvti -t:he- height of Jl fl~ure- I~ ~~t~k1II~h(;d, d~ c-3n be~hlHtid rlgh~ or left) lJf or dtlwn, or Into th~ de-f7th ()f 2l re-r"rec.1;/Vt:-. t71? ] ;=:::::::::==::; le - ---::::.- -:.--::::::.:.::-....:.;.--,._.. ._'._.- ---------- n ;add Ihm to feorle, there tire- o~he-r J elemen-/;6> which we oan u~e tt7 6ugt:'ti&1; -the context for what we draw: Ihe.q,~ 1iYf1cally IrMJlJde typt1~rapl1y, lat1tl6Care, ;;nd plant mat8rl::i31~. fhe pl11!?lence i7f .a r1aoe- may ~I~o I?e tllJe to a .q,tJ~llo/ i7f I,qhi, muerJ~1 volor6 ~nd -textlJre~, -/;he6c~le ~nd propor-blon of 6pa(je~, or the cum ul ::i3t/Y8 effeo-b of de1t13d~, 17~ The draWIng i7f the~e element~ mu~t; ft.ak8 Into acooul1t their ~hppe. ~c-ple, pattern, vaILJe~, and texblJre, Keep 111 t;he~e :are ?lmrJy part~ of a grept;er whole, and the. amout1t of Intere6t .ilt1tl attentIon we give them mind 6holJld ~e proportIonal to the-Ir Importal1l/e:- to the:- overall comrt/6Itlor1, (1lVlI1g dlr'tc,'f:;IOt1 d trtt? p.ay tlH~n~lon to <?h~f1e. 1 ?t:t"Vll1g tl~.;il ~c,l"tet1 % rlJC-~1J re 7 <?v.;illt-, :;Ind ~urro~e-. I 177 The mind c~n ~oo oFt~n ra~~ JLJd~memt w/,f;nout lookln~ at th~ ~Ignlflcanb d~t;;lIl~ of a ~ltu.atlOn. In trYln~ to '3ra~p ~l1e vl~utll whole} we ~hoj)k:l )e aw~re. of lIhe" n~~d hw dual! development Jmd theIntt-rel7!; ~l1d v:muy 1'1; ~t"lng~ to a draWII1'3. r?e{;ad~ t111J~ h'e- vl~lJallj relat~d 1;" or pbaced withIn a ~'!ii"uutlJred pabbe-rn to m~k~ ~e-n~e. 111,,, Gonb~)(t ~erve~ a~ a vl~u~1 reminder the %ale- wIth WhlOI1 we are dealing. Ide~lIy) thl~ c.bt1'bexi7 ~hc?ul~ \?e dr3wI1 In II~h~ly to provl,::k. .a frameworl<. for.a rarblc.ular area to 11e. worked 01'1 In ~Matew de-tar! and more- '* el~\?orately, 17fJ The" mo~t ~I~n,h:;ant;. de-tall'? u~ually oc.wr at tr..an~ltlOt1~ In '1h~P8 and fortrl. The~e: d~t.;a1I'1 :;Ire dlrec.tly rel;at;ed to -tihe- way materltll~ turn Cl7rl1er~ or meet each otne.r In a c.on~truotIOI1. - -- - -----_.~-,-----_ .. _- All materl;;3l~ h~ve ~ome, degr-ee t-h,vkne~~. If the ~G.ale. of a dr.awll1g f'erml1/~7. thl4? th,ckt1e~~ ~hould ~"II1~IG~t;;tiJ :i31ong ~dge? :3nd '* ~t1d where m3t~rl;l!? ov"rl~p ;;at DOrl1et"~. c;ontour'?, we <:3re.- bo ~omunlng, the more we- can never Include every deb.arJ In a dr.awlng. elnce "The clo~er det~1i we can eee. Htlweve~ ?ome edlj;/l1~ I~ nevt~~:aI"Y, we mU0t deCide wn;a~ 10 Jrnpoi"t.;mti ;md ,,~~enbl:al b7 comp/ue ~e Im;age. Remember th.at :3 few du~ll~ c~m ~ugge~ ~ Idt. Includ' Irlg Wo m;al1j def;tl/I~, In fac.t, C3n deprIve.a ~r~wlnq ?f 1;.h(/ u()ntr~~t It; neeJ6 l?ei'ween c.omrlexrty ;lnd tlre.:l!7 of littleor no d~.:l116. /;y thl~ Ciontr.;a~t7 detailed .are.a~ will n"i'lJl"';311y gam ml7re empha~I!7. 1~O ~})I~(ilJIJ1~I'I()~ ])I'j\."'IN(i J\Nl) (JI~]~j-\.1'I'Tlrl'Y WJ~h rmagln~~lon, we- van vl~uallU whai onc.e- wa~ 05 we-II a~ 5r:'BculatB Ot1 wh:;:lt mlgnt ~e-, //1 U51t1g drawing to &nhtll1ce- -bh1'P ~owe-r ~f vl'Puallzat'I:m1 w~ re-Iy n~t onty t'n tJur ablll4vj bCl tJr-.aw fluent!y and convlnc.ll1gly, ~lJt .a1~Cl on cer~am at;tlt;ud~s t~warJ -!the- Jr;;lWlt1'!j rroce~~ rbse.lf. We mu~t eee- the-Image.-makln.q prt7ce.~~ ag a creative endeawr whIch ha6 at I£;~ hearb -f;he- <speculatIve- na1;.ure t7f reflev1;It7t1 ;and though-b, Dr.awlng I~ aml1lguou~­ we tJraw ~ub oUr' -bhought~ wlthoub fulty knOWing whe/"~ the. rroc~gg wri/ l~aA, Dr;awlng enc.c)'Jrage6 refl~ctl,m - while drawn Im;age~ rtl'rre~ent wHat we enVISion, they a/6tJ pre5e-nf:. opportunltle-'P for dI6COVe.rJ' 17r.aW/t11 ~blmulate'P creatIVIty - It; ()J7~rat;es 111 the:- ~pac~ ~ebween 1;h~ real .and the- ImagInary, explorabltm and ~ )1 The proce~5 of drawing Ima.ge~ 011 pape-r neoe~~;arJ!y Involve5 ~pec-UI3i;Iot1. We can never de.~ermlne, !7tfore.~tlnd precl~~1y wh:at the flt1tll olJtGOrt1~ will ~~. Thedeveloping lm~e 011 paper gr3duallj tal<e5 on a hfe of 11;;6 own. We mlJ~t f?e open to the p()~51I1dd~l~ It;. ~re5ent~ 216 W~ reflut: on ;:mtJ explore- the thought~ tlntJ Idea5 It;; t11~ke~ vl~Il?I~. 1Ir'3WI n~ I~ a C-retltlVe, Inter:ac-tlv~ froce88 wherein we c-ot1tlt1UOlJ~ly ~vallJate. -line Image ae we ~earc::;h for a cOl1g ruenc-e \1etwec.n -the Image- we hold In ~n~ mInd)'? eye ;md the one- we- :are. drtlwlng. If W~ dr.aw I1lJndlYJ JP; If follOWing a reCIpe" we limIt our~elve~ on(y wa pree-oncelVed Image antJ rt11~5 op~(}rtlJt1Itle~ for d,~cove,..y along 1&2 -the way, A dr.:3wlng can repre'5e.n.J;; curlo'5lty In -f;;he- fure-~t ee-ne.e. Th,ng'5 come- te? mind ;3::; we: VIew a drawI/1g In progr~'5, whl~h can chant1e- e?ur re.rce-ptloH t7f -the prob- le-m a-/:; h:and :and '5ugge.::;t rO'5s,bild~le~ not yet conceIved. It, ~/loW'5 LJ~ -boexflore aVe;nue~ WHICh could not be fore'5ee-n before. the dr.awlng wae ~/;art;.eJ, but whlc.h generate- Idea~ along the way. De'5plte; the ope.n-el1dedne'5'5 ~f thedraWing proce'5~, we. mU'5t be In cl7ntre?J eo that "/;he. e;me-rgln~ Image- doe5 not t;;;lke e?ver vompletety the way wedraw. We mlJ'5t :a Iway '5 be mIndful t?f tjo.al and purpo'5e-7 and l:?e. selutlve. In -thedJreotlot1 we take-In develt'plng a draWIng. We /11LJ~t" rely Ol"l InttJl-f,/on :3~ a gUide. In the rO€>~II1",tlee> and t-o outline- €>t-;art:-h for chOIce-e>. In~lJ,tlol"l, ht'we-v~r; le> k:ra~ed 011 Informed e.x F?81" I e-n ce. We t:-;annt7b draw on draw OIJt;. wh~t I~ nc?t ;already wlthl/1 e.ach one. vf LJB. stll!, drawing van leat! the. way In thl€> 1111;.UltlVe €>e:art:-H for Ide2l€> ant! pr'ovld~ a tran~d~lon from pre.~el1t to futlJre pO~~lbdl'f;"e.e>• Il1tlJl'l~lon and • OE:?c~rprrve WORD:; To rMAGE:? • A COLL.AGE OF'TMAGE':5 .. ~.-r-=-1~ ~ "f> ...- '/./_ _--.. .. -L : I Ol't.,.. \ ~~i ~ c ~ ,.. vllfA: T t:. A dr.awlng doee. no17 arrive- flJll~b!owl1 and Orawll1ot1~ CIf fIr?'/;; tholJght€> are. nec~~~ari/y t-enbtlVe., €>pec.ul3t:/ve. 7 ;;lnd exploratory, We may '?tart meh ?pevlhv a~pec-j;e> of a partIcular form or€>ettll1g, or betJln WIth a more qe.nerallz.e-d Ima~e­ of a convert: or con~truot, In 3ny ceee, complete., where we €>t~lI'"t I~ not; 3:; 1t11 por{;.;;lnt a6> where- we- end up, The mo€>t Imj:'ort-al1t, thIng, ftherefo/"'e, I:; to ge-t the. fw€>t, IntlJltlve. 1&4- !ma.ge~ down on paper: f [ \I \ r I 1! \ I I I L_ . _._-~ ____ • '?T~UCTU~Al. f'AiTBRN~ Th~ fJr'~t ~k&i;(/h~? wedr.aw ""re ~lmll~I"" we LJ~e to org;aI1Iz.e. them""te-rl.a! fc?I'" an ~f;.ay. They help U~ dl~till ~LJI1Je(/t matte-I"" down e~f;entI31'? and dWlde. what I~ II11j1ortant.. As W~ W th~ OU1;) I ne.~ w .dr~Hv, the 61JI1cOnGC10LJ~ work~ Its woOy .md the. m,11cd 7q, eye frlt~rq, out;. wh3t of con'So~q,ue.nce-. The more Imp0r'bal1t ;,l6]1eu6 ar fe.aturc6 wtll tend to rieetc? the ~L.J/"'f.ace. while. leq,~er one-£7 are. discarded 1/1 the. rroceq,q,. It'! I~ The q,mall&r the Initial ~ketch7 -the. I1roadel'" the- oonOett1; It 0311 fc?rm. 0m",,1I '?ketohe6 are. u~efLJI '?lnce they ;allow .a q,amu-t: ~ ro~d1J1d:;lcq, to l1e eX~lol""e~. St7metlmeq, a oleardwectlc?t1 will emer':leq.l.llvkly. At c?ther -blme.~, m""ny dr.&3wlnq~ ;;Ire req,LJlrcd to t"~veal the rt"of&r' cour~& of ac.tlc?l1. In &Ithe-rczee, draWing Idea'? ouJ:;; tJltlm ul3teq, the. devel17pment 17f alte./"'n;atwe 6t1'".&3teglc6 In"" fluent :and flexlt1Je manner'. In the- c.Y'e:a'blV& proc,~-;,s I~ f;tl b'e able f;Q gene-rate, ;a Wide ral1.ge of P0f,SIf1J/l'/;;/e:S and l.de.3~. Tt' b~ flue-l1-b ,n -the. dr;lWIJ1~ prt'c~ss IS f;o be IntultlV& whe.n plavlng penvl! to pape.r, r(;~p,mdlng WIth ea-;,e and qr;ace to one7~ tht7l.1~ht6. We mf)~t be. able. -bo keep up WIth our thoughts, wh,c.h c.an l1e fleeting. To b'e fILJUl-b ~~~\~...lJ\1--JllJ...ll~. .Ji.l~\l-4i~r--\~~ll-\lI"1l"'-\I~jl-\\'-\t'--t"-\IL..W""\HHr-\M\-'t . I ---- --- We are ab/~ to pvt thtJlI9hf;;€, down- ----~----------,---------- on- pfll.p~'" ea~/!y In Wyrtltvg. 10 devdop bh/~ IfJa,me flIJenq pradlce.- Ott ~ r~tJlar b~~I~. Wt learn 1;0 dYa,w Ol1fy by dmw/n~, One- way 1;:0 dyawtn~. we II'V mIJ&f; fMIIJf:;t.l.J,e coY/f;,/YIVA,,{ rrad;./Cb 1& f;,(; k.ter a 1ft rf; ~keUif,J?cJ()/<" M1Ml (,Vel" al1d F'O~Ib>(~, a.l1d 1::0 draw wh{/Ye/vu' --- I I J I I I fJefore dr.awrnq c..:3n l?tc.ome an JntuJblVe f-'3rb of OJJr vl?LJal -thInkIng, we mLJ~t flr~t be :al?le to draw ~Iowly, ,delIberately, :and acc,ur;ate(y. While speed m.ay Ct7meWIth r,'UShll1g tJne~e-lf W draw faflcer, ?pec.~ Without the dl%lpllne t:7f JLJtJ':1me-l1t' le> c,ounberprordlJct/ve-. 6p~e-tl oamoe n.:3tu/"'aJly only wl-bh ft"'ac;.-t-Ic;e. and ref:'etl'!~lot1 over -.:In extende.d rer1t:7d ?f tIme... fh3C1;ICe.. until the ac;t of ruttmg down a line. I~ ;3n aLJt0l113tlC, re.fle)(, :6 n:atul"'4:l1 r~~pot1~e. 'lio what we. ~re. seeing, lmaglt1ln':1, Ill" dl"'awIl1g. / I / I, ~..i---rD A Vj.ulc.k Wlt7,de. t7f tlr'~Wtn~ 1!7 neve.~e>ary to c;~pblJre. a ~rlef mc7me-nt In the. flow of Idea6" whlOrt cannot ;a/wayt8 ~e, dl~ re.cted t7i'" ct7f1trt7l1e.d, Flue-Hey In drawIng there-fore. re.q.ulr"&~ ~ free:-hanc1 tul1~ nlq,tJe., with a mlnU'I1LJm t'f tool~, U~fl1q T, g,qu;are~ '3l1d trumglee> W dr.i3ft on87~ thought'? dlVert~ too much ~ttet1-t;Ic7n aW2Y fi"'om the vl~LJ~1 bhJnkln~ prov~6.. Related to fluency I~ the Idea ~ efflvlenvy. ~fflvleHt/y In dr;lwlng, and tne. re~uItlng Invrea~e In drawing ~peed7 come~ with kniiwmg wf'!:i3t:: to dr.aw and what to omlt:i What I~ nece~~ary ;;lnd wh~t le> InclJel1t~1. rhl~ kMwledge tOt7 can onlY come- With &xf&rlence and ;;l ~u-Ing eye-. 1f17 To t1e fleXlh'le I~ to l?e ofe-n W exrlorln~ ~ variety of ap~roac.he'O ae new Idea~ :and f0:7!7lbdltre~ 211"1&(/, Flexl~dd;,y I~ Impor- t;;]nt bec-alJ!7e how we, draw affec-te:. the. uncon~c.IOU!7 dlr8ctlcm ~ OUr' thlnklrlg ;;:;lI1d how our vl~u.a1 thoughts ;;;are. fi7rme-d and oar!;/clJ!;atecL I ,___ L L-' _ 1?ECOME f'AMtt..!AR WITH VA~roU~ tlRAWlN6 MBPlA,. TBCHt-.rrQUE:~, AND fOfN'1'-;; OF VTE:.W; Jf we. feel Gomfot"table. with knOWing now 1/Cl drt3w only one. Wt3Y, rdylng on hoablt ;;and convention, we unnec.e!7!7;arl[y limIt our thInkIng. 10 be- ah'le to look ;at; :a problem In ,a,fferen-b way? re.V1ulre~ beIng a~18 to drJvv the~e V3rIOU~ vizwe. We- mLJ~t ~ec;ome famill4iW and fluent wIth the V3r101)~ cdrt3wlng mecd la, -be.c.h- nlqpe-s, and c.onvet1t(on~, :and view them !7lmply t3!7 tool!7, to be !7electeJ acc.ordlng to their tilfp'ropr,atef1e~:; to the .j;;21~k, Be.glnl1ll1.g----+~ - - - _. _. - - .. - - -. A flexd?le ~egJnrHn~ a~r'oavh bo Jrawln.g j~ -fl.he. Of a i?&arc.h whlc.h Cfte.n Involve~ b/"Ial ;3I1a error, rh~ wdllngt1et5~ 'boa'!1k "wh.-at If, .. ~" Cj3n lead? howeve-t; to ~/tiernatJVe& worthy t'f d~velop­ thLl~ ~lIow~ u<? 1;0 take advant.age. of opportund';le~ a~ -they a,...,~e. /n the. draWing pr(jce'7~, me-ni;, A fleXible. ;/b-bltude. While fluency ;;lnd flexll:7J1,ty ar~ Important In the-l?eglnnlng fha~e~ of .any c.reatlve el1ae;avr7r; they mUt51; "'eo vour1etl With Judgment :<ma ~elutlvl-by. We m Ut5t ~e a~le f;t' ge.t1erate ana de-velar Idea& WIthout IO~lnq ~Jght rtJrpo~e, t7F the overall ,gO;;!I or Th~ creA~IVe. prOC~f;f7 OuvLJre> over LJnch ar~ed bel"rl'!;ory. To pur~ue.. what we do not .al ready know, 1-1/ re neue~%wy to h:ave a ~en~e. of wonde.r, the patl~nce.. to ~u~pend Judqmenf;;, ;and a t-ol~r.anve, wr i3mj.;?lgutty. ._ .. ~ ~" ~ I~ I 11 l' -I-+-~t- -===--=-=a3if ~ E:XFLORATORY PRAwtNG5 ARE OPEN-ENDED, A6Lt:'. TO 13E ADAPTED TO "THE DEVE[.OPlN6 N'EED~ Or A <?ITUATroN. In accep-blnq am17lqLJl'by, we unforbul1:ately jo~e. the cQmfort. tJf fam r1rard::.jI. Ve;a!,ng only WIth the. clearly defIned and t!1e. famrllar, hliwever, rreclude? ~he f'la~tlcd;y ;ima adapt.abJlrty Cif thought l1ece~sary 1/1 3ny creatIve endeavor: loleratlng aml1lgulty tlllowfI 00 ~o accept l.mver~;aln1;;Y7 t/I~ortk.r; and the f'tlradoxlcal 1/1 the froce~~ of orderIng our thQuqht~. l~O The- my~tery ;and vhallenge of ;amh~ulty at7plle~ ae well to dr3Wlng. H"w can we draw If we do nc7t know what -I;;he final Imtl~e. will look Irke? i11e i311~Wer I,ee> 1/1 undere>t3ndll1g the exploratory nature of Jr.awll1g whlc.h re> Il1tel1de.d -1;0 ~tlmlJl;ate and extend our thlnkll1~. T11e~e freeh:and and It1tultwe dr.awll1~ .dIffer from the more. formal and expliCit dr.awlnq~ lJ~ed to c.Ol11mUnlc.~te. -there~[)lt~ tJf onel~ thll1klng. ~E0AIJ5E OF'THEfR. fNCOMfLETENEt;5g. IN- PROCE<SS DRAWfNGS CM!.BE: ReAD ANt:' P£VELOPED fN A NUMBSR or: WAY?, The- flr6t Ill1e~ of ;3 tdl"aWln~ are- l1eve~~ ~;3rJly te-nt.,-b,ve, repre~e.nbll1q PI1 Iy the. l1eglnnlng 17f.;a cre~tlVe. ~e.;al"c-~. 1l1e-reI~ ~n Il1he-re.nt ~t11l?I~LJlty W the ~t.;ate. of t/he drawIng be-fore It /6 fully formed. Only ae the drawing 16 tran6f?'l"med ;3l1a refll1c-d doe~ It; ~ecome cle~r el1?'ugh to Jud"e whether the-re- l~ a <?atl~factoI"Y corre~/?ol1tdel1ce l?etwee.n tJ1e ,magll1~ II112lge- 'Pl1d t~e Ol1e W& are dl".,WII1~. While ;3 prIor notIon I7f an Ima1& I~ nece66ary, 11; can be- a h'ndranoe If we. do nt7t eee 11;. ae 50meth Jng we oan In~erav1; With a6 we. draw. If we can ~ccert thl~ e,xl11oratory nature of dr.,wrt1"~. we C.311 l1eneflt from what -f;hey re-ye-a!. When we. C,311 accerti theIr aml1lgulb,y, we o/?en up -bhe oreai/verrooe~6 tv- chance and dl~ooverj. 1~1 A cre;atllve. Imaglt1;3t110n re'1;3rt/<e> t71t1 q.ue<e>'li/oM, from a new :;lngle.. 'ft7 eee 111 new waY<e> thut? r~q,uJr~t? :;l keen power t7f vl~uallz.;3tlt7n :;lnd an under~3ndlng t7f the fle-xll?dlty dr2lwlnq offer? In pot?lng 11e-1V q,ue-t?-b'lont? antJ prG-~entlng ne-w f'0?~lbil ,./;le'8>, [8 AA 4f4F ~ORT, J<:.EARl'::ANGE. VARY THE: fOINT Of VIE:W. FRAGMENT, RelYing t7t1 l1abll/ :and oonVel1t1It7t1 when we dl"'aw van Impede the- flow t7f neW Ideae>. Cre2ltl/vlby feedt5 on a fre~h eye, If we can eeo thlng~ oute>lde of their primary Gont;e-xi:;, we are l1etter ableto vIeW the c.ommonpl~"e WIth a nsw ~er~pec;tlVe-. We C311 tran~form theIarmhar to the ~range and the '5br.anqe bo tf1e- fat11lll~lr·. We can eeo hIdden o~por'liunl-ble~ In the unut?u;al and the f'tlr'adOXf cal. Pr.awlng gJVt~ ue> the mean~ to ~ee thing? wh,,,h are not f0e>~II?Ie- 111 re-alfby. Ae> we t/r.awJ we C3n vary -the arrangement t7f I nforl11at,on, We can free theInformatIon from ri;e. normal context '80 that /t van vome- togeth~r In a neoW way. We c.an fr2lgment.1 '8orb, ;;Jnd grcllJf' accordIng to '5/m darltlee> ;and d'fferen"e~, We G3n alt-er eXI'8tlng rbI3~Ii7n­ ~h'p~ and 6tudy the- effeDt~ ,?f new ~ rt7uplngt? .-- TtJR.N" AN lE/EA OVER-IN THE MIND~ Whle-h a!l?embly doe~ not fI-f;; the f.attern -- .•.. .... ;,.... ? 'SEE THE: WHOL.E IN THE: PAR.T•.. • . ,' •• .,\N1/ THE. PART rH THE: WHOLE. t3n ~tJmLJI~te OLJr iihlnk/t1g 17y working varlOLJe> I~ve.l~ vf t?c~le 2lnd ;;;Ib~trac.tltm. To eee wIth a fr~e>h eye, we C21n look.at a mirror Image V'f what We ;;;Ire dr~wln.g. We C3n turn the dr~wlng [.Jp~lde down. We c.at1 ~t.;ilnd 17avl< from the drawlnq to ~tlJdy the V/~u;;;l1 ~~~enCie of thelm«lt3e-- It~ ba~lv elements, r~l;atlon~hlp~7 ;;md !7~t­ tern~. We can e.vel1 eee. It; throlJqh We ~'b SOl11eone- el~e1e> ~yefJ. LJ~e-f!J1 Y.;;lrIOLJ~ pOlnt~ l'b can /1e to eee a ~JtlJatlon from of vIew. fhlt1k al:7ou'b th~ thlt11 dr:awn, hold It In -the. mind''? eye, ;;;Ind turn It over. tju, It fr(7m different; enc.ourage 'bhl~ ~hlf~ In VIew, It m:ay 11e. u~eflJl b(7 g,mply lJ~e a dIfferent me.dlLJt11, ;J drfferen1i r;;aper, ;;;I dlffer~ni; techl1/e:tLJe) or a dlffere.nt dr.aw1I1g COI1Vent,Ot1, 2l~pecte;. ~ 117 m;:3ke conl1e.c;.tlol1~ JI? to I?et; l?,mil;3n-/;:le~, Inc;.t?n~rUI1;Ie.g, ~nd un~xre.c;j;;e.d rela1;;lol1~h1P0 ;;lmong :;:l q,«Ie:~ of elemen~ Or' qroLlplngq,. BeIng .able. to m~ke c.onn~c.­ tlOnq, J~ vruc;.laJ ti7 the. formatIon "f nt-w concer~l (m 6. t::vel1:a~ we c!r~w, we c.~n ac.t,vely q,ee.k cOnl1~c.t'lon0 and recognl:t:e. r3tcern6. t?r~wln.g can -/;:hU6 q,erv~ 36 3 cab.aly6t for m:akJng the~e Cionnec.blot1~ and ~eeln1 In .a new way. 10 recognize. p.atter'n~ 16 t17 p&rcelve. the- conf,tgur.atlon 17f 61gn Iflc-ant; ~lmJlarltle~ or dlfferenc-e.fJ :amonq elem~ntfJ. ?fnCi& !?ercerb,on 16 ba6ed on the. 6earc.h for' me.anlngful pa"ttern6, actIve- r;atte.rn5eeklng 16 a natur.al part of vl6u;a1 thinkIng. ~ven when oonfronted wIth sn Incompl~te Or' amorphou6 patte-rn, we tent:l 1;17 fill '11 or proJec.t Image6 to c.re.at~ order 0Lit; of c.ha06, In draWIng, we Invent :and elaborateme.anln~hd p~tte.rn6 With the b.a61Celement6 of dot', line, 6hare, and tone. We tl"j to e6tabl16h GOne-rent; relatlon6h I p8 .and :a VI6U:a I un Ity In the c.ompoq,lt,on of PO~jtlVe. and neq:atiVe. 6hare6 WIthout eacr Ih::;lI1g J lVer61ty not'" ~hl)ttlng out. the arn blguou~ :and -the. p~ l"adt7x I c.al. • • k re t- ..J ! .n. ." • • • • ~. I~ j LJl. There t7fben e-Xlq;t ~&Ve-r~1 laye-rq; c?f p'ail~ern~ In a d'ra WJ n~ and there-tt/re'8eve-ral layer~ elf meanln~. In adtlltlc?n t'11 the fundamental compc?~I-bJc?n t7f lrne, t?hape, and -bone-, there may ;;ll~o ~emean mgflJl vom POq;ltron~ of detail, t;exture, and cc?/or. We ~hl1uld be Ofen to rev.?~l1lzlng the!i?e and no-l::;deal '81t11ply WIth -!;ht:- mO'8t .?/::1VIOLJ~ pattern. We '7hould fJr'~t Ide-nt;,fy bhe~e organIZII1.g ratj;ern~ t7f a dr2wlnq /::1e-fc?re. de-Ivlng Into -bhe ~;3/1;alyt,c~l concern for detail':?, If we can eee -!;he,~e. pattern'8 It'! dJfferent w~Y'6 - fty qrouplt1g, CI.?'6LJre-, 01" p/"Ojec-tlc711 we creat-eo J11?re- P.?'6~I~i1ltle? ;;ll1d -bhe p.?ten-!;/al for givIng an Ima~e a ~re21t;e-r depth of mean Inog, An;a!yg,I? ~nd g,yntheg,11? ;art- oomrle-me,n~ 1:i~ry p~rt~ of a "?/ngle-, creatIVe rroce~~, AnalY~lg f1re~kt? gOI11t-l:;hlng down Into m:3n~ge-3f1le ~artt?; 0ynihe'!:i10 I~ the. comb'lnlng or rearral1gll1q pf elemel1t~ Into:a new whole, 1/rawln~ qJVe~ ue th~ ;;:l 1111 d~y to wt7rk ct7l11fort3f1ly b'aok and forth f1etween ~n3ty~11? ;;:lnd 0Yl1the~ll?, Ana/yt/v:al dr.awlng ll7ok~ at and ab6'tr.ac.t;~ conq,iil'i:il)e.nt p.artq, 3nd their rel.at/on~hlf'q, withIn :a larqet'" con-bex'!/, 0yntnetlv drawlnog orChei?tr;ilte~ the IndIVidual qraphlc. or de~lgn e.lemel1t~ 1111:;0 a unified whol~, 11 ~\:~. If .~i If i We de-vell7p .and refine a dt"3wl ng \?j burldlng It lJ~ In 13ye-r~. rhll} 13yerll113 c.a11 occ,ur on ~ "7lngle i?rre-et Qf paper If we develop.a drawln,q 1/1 *~e-~, ,e~lnnlng W'1:;h the 13yOl.Jt of foundablon or ~trlJv~ ivral Irne~, We draw ilhege- InItial lIne-I? llght[x In an exploratory m3nner. WI~hln ihl"? fr;ll11ework, we c.an !?e~1t1 W 3n~lyte­ emerging pat~erng, of elemel1t~ .md relatl"ng,l1lp~, Then a~ we- m.ake VIgLJ31 J()dgm8nt~ 011 &tuaIJty of line, ",hare-, -bone, 3nd c.omrot?Itlon, wt:- dr.aw oVt-r -t-he- develof'r1g Image, In a rtlJm!?er t7f r~I~1;;~.d hut dl~c.rete ~te-r~, W~ 31'b~rn~t;~ ~etwee-n ~nalyt:ln~ tht- rart~ '* the- dr.awlng ~ynthe.I?It:InVJ them In!;" ., ~lt1gle-, Unified COI11PO~I{:;lon. ;md I / I-{j···· /1 7' / 5TUO\"ING f'O'?'.?lB!.E COMf'O$JlfONe;> ~- 3;~~~~' ::'~' TRYING OUT 01FFERENT fORMAT6 Th~ tr;m~fOrm;3tl,m of ;3 dr.awlng can the r.rry0IC.a! l:ay~rlr1g t5h~e-t5 if tr.:lGtng rar~r, ;;1100 OCCUr' through ~ trat1~r~rent In ihlt5 f'ro(/et5~1 we C,,11 dr.3wover ano-t-her drtlwlt1g whtl~ al1.a{yzlng It€? Gon~tltuen'b eJement6. Thrl7ugh br2lclng r3re~ we C"r1 make cOt1nectlon~, eee f'3itern~, and ~~LJdy re-l;;Ihon~hlp~ fi'"ol11 one /:ayer w the next. COMBINING f"AR.T~ HJ A NSW WAY ~)(erCI~Jl1g JLJaqmel1t, we v;an ru:aln cer!;3ln element~ and refme O'th~r6. We can, 111 :a phy0lC:a1 m;al1ner, m<al1lf'ul;ate and re.3rr:ange ~he latered Image~ :a0 In 21 £:.oll:age. We zan form new 36fJOcl;atIOI1~ :and draw new f';3-/itern~. We C.3t1 dl%over ;and 0yt1-!:;h~lze new Im"l3e~. 1"7 JJl~ S]~I..l]~(~rl'I'7]~ F/uenc.y In drawIng promote€> th~ fluent .gener;;rtilon of Ide;a~, A~ dr;a WIng t'pen~ up our eye~ 1;0 il ran~e t7f pO~~lbdd;le67 we mu~t ~ecome q,e1ectrve ilnd temper the dlVer~enf:, l1.:lture tlf fluency With ct'nvergent thInking, We mU0t I?e able 1;0 d I~cern .and foc;ut? dn wh;at; 16 6'~nlfr­ c-:an'f;, A c.re;atwe. q,elJrch can 2lad uf'to nothln~ If we 106e th/5 fdC;U?, " OM d2Y AI,,;e c:ame to;a ork In the rt':ad :and 0:aW ;a che~Jre cat'WhIch ro~d at' I t:ake1" ~he A~ke-d, HI~ re6rOMe. W..;l~ ;; llf.ue~tilon: 'Wl1ere do you W..;lI1'l;. bp go ~" 'I don'i/ Know,7 AI,ce .2ln.r;wered, 'Then,' ~:aIJ ~he, c:at-" 'It:; doe.r;'l1t matter, " " In a bree, ~~~ "WE MAY TAKE FOR A CO Mf'MHON, BUT MUST fOLLOW l\l~.L.\..S()N . A? oVR GVIP£ ," 1Ir.awll1g w/f;nout thinking 16 a de-ad end. VLte mU6t re;;a~on ag. we- ~erc,elVe-, 8nVI<810f'1 , ~lt1d draw. l/rawlI1g C4iln help c,/;;arlfy ihou,ght only I?y ooml?1n Ing ~he ,nf;ud~ll"e arproac,h of V16LJ p llzat lon with 1;he rea60nlng I7f the 'niellec.t. All the: flu811C,Y we. ;;;lc,~t.Jlre In dr:awtng Will n~ 01Jb'~tl~utti for an Inqp,rll1g mll1d and a crdilcal e-ye-. 111 etprl:??lrlg -t-he. t7LJ{:;el'" re.~lltj we&xperle.Mce. 2nd tf1" I nn~r reallt;,y t?f 1il1e mft1d'~ t-je, WIJ draw;a Al2logue~etween VI~IPn ;;and thought;, we- cre.ate ~ ~ef.. r;ate world of In1~e?, 111 tne ~face ~etwt'en ill1e re.al ~l1d 20() the lm;:lqln.ary, Arnl1e.In1, Rudo/f. VI~1)31 ThInking. ~~rke/~y, CA: UrtlVer~lt.y.?f C,allf,wI1'3 F'r~~) l'~~. crowe-1 Norman A. anti P'J3vl N<Jt:.e~. New comp..any, L:a~eaLJ. V,~u31 Y"fAk: Van NO'7trana Relnl70ld 1~~4. lie I'pno, ~.d w"rJ. k.oat;e.ral rh, nklrtg: Cre.oatlvlty ~tt:f.Yj gter. New Yorl(: H.:Irrer ani4 ~OW, f'LJ~II~her~, J~70, 1/pd~()t1, f;erb. Key'~ tp Pl"~wln~. C,nClrln.:J-bI, OH: North /"I~ht Pre"~7 1~"17, &Jw;3r.d~, f7etty. 12rawlnq PM the t<1~l1t g,de of ~he r;r~ln, L.o~ An~~le~: Hpughun M,ff/ln CP., J.r, 13t'c.he~ 1~7~, Art-hut' L.. fr~h.al1ti l?rJ3Wltl~ 5elf,t.avqht. N~w Ytwk: W3t~0I1- &urttll Pul?llc:at lon~, 1~80, MoK/m, Rol1ert H, 1:X'p-er/enc~ In VI~u31 111lnkln~. 2nd etld:;lo?l1, ~o~tm: f'ub"~hU'~) 1')80. f'W~ t-Jelm~? Hel1t1lng. "Thinking wf{h 3 PMlcd. ~erkeleY7 CA: -ren t?fce.d Pre"ej? 1~81, Pye., l7,avltL /he l-Jature .3nJ A0f;h"tlv"; .?f l7e~/~tIl New'(prk: Van NO!1t;r~l1tJ Relnhp/d Ct?m P~l'1y, 1~7b, Rotb~er) Errwf; anti t7/ete-r Klante-. Cre;lt.IV~ I?rpW1t11~ FpIMt. and k,ne:., I--Je-w Yprk: V~m N.?~t;r.and ReIn hp/J company, r~8', Ihlt~l, rhdllp. Fre.eh~t1J V'r~wlt1g.LA !'-Jew York: rrent-Ic.e 11211 f'r~.1 P'rlm~, lq~~, GUpt"/, Hanke, KLlrt 3nd L.3t'r,y ~ellll?-/;on. t7r.aw! A VI~lJ;!1 App-ro.acn i;p -n1Irtkll1q, ke3t"n't1~, 3t1d Communlc,€t/n~. /...017 AltpfI, CA: W,/I';ltrl K3ufm.:ann, Inc.., 1')77. l-3~e~w, P.avl. ~p-hlc ih,nkln~Jtt .and pe~/gner~, New Yo,.,k~ V.an ~,,%r.:ar1d Relnhofd company) I~eo. Archltect~ L-.a~e.au, Paul, 1,,*,I,ne 6ketch Inf1. Nt-tv York: V.at1 I--Jo~trand Relt1ho/d Comr~my') 1"~7. Lpo k.oa rA, W,/I,~rn KIt"by. C7efll~n C7r;3wln~, Rev/~uJ E3J,-t/Pt1. iuc~ol1, AZ: Pul1ll~"lIn~, I~&£., f'errer zo1 • i:tIward Hill The /'~f1gu~'1e ff Dr.awlt1~ fl1~l~w.?pd CI,ff&, NJ : F'rentlce ~ Hall, I~U?~ 202. INI)J~X A:eJ/-to, AI v.ar, -'1, t:315, I~~ .a17i7tr.ae-t i7h3pe~, ~f? Ad~m~, An~~/, I?£' atlthbwe- ft7f'<m'f), 1~2 -1~ ~ aer';l I fer~pe.c;.~IVe-, eo ;l/11bl~U/~Y, 1~o·1~1 Am I~n~ C.athedral, ~" ;an3IY-;I~, 1~~ -1"7 b.ac.KlJrt'und , eo- rPl I'e.ardt;ley, Aubrt% '7;1 ~err.a, Yt7~ r, 77 f7ert/e-II/, f',etrt7, 1~~ f7tmng, ~.~., 1~ cal/I~r.aphlc. Ilne~, 61 Carroll} l.~WI~, l~b Cai7i7~tt:, Mary" Bb Cel.are-k, AIt:-ki7anA~r, 1171 c.rrc.I~~ In rer~peCf;lve" 12fJ-12~ clo~ure., 7tr-7~ commlJl1ltatll1g,2(;7 liOmmLJnlc~tlol1, Arr3WI111 2>~, 32-3~ comr1e.)( f()rm~, 1~~ -I ~7 compO~,.t;ldn, 134, 70-71, B~-8'J cone of VI~Ii7n, 101 conne~tl(m~, rn~l<ln~, 1~4-1~15 Cont;t-.able, John, 88 conf:;ext, 115, 21, 176-177 c.onf"I1U If,y, c,onf;olJr ar.awlng, 4-2-4-~ cr~~f;,lVd/y, lf71- 161- cro~ - h.a-tc.h f n g, 4'!J c.u!1e ;3'7 dr.awln~ eleme.nb, 100, 101', 111, 11~-117, 11:34-, 1~0-I~Z (7;H'WIn, Ch3r1e~, '31 17.au mler, Honore, ee O.avle-7, Robert~on, 71 !7.aVII1CI, L~ol1.ardl7, 17, ~1, ~~ 77, 1~" f7e1.a~, f3.Jq.a r 88 aeri;h CtllJe~, ~3-~7 aep-bh/ dr.awln~, P)2-1~~ me.a~urll1gJ 120-121 det;..atlt;) 11, 44-, ~O, 11~-17~ dI3~on;il1 I/ne~, 122-1'2~ J'3~r.am~, 32,15" d I~t.ant. van,?hln~ pOInt?} 114-1ZI7 ar.3Wlng a~ commUt1lcatlt7t1, ~2-?? a~ repr~en-/;)t'on, 2fJ-2IJ 2'7 vl~u:aII'Z3tI0r1, ~O-?l /1eyonJ the rre~em/;;, 1~ from Im.agr/1ailPI1, 14~ Ilne~, ~~-11 medIa, 22-213, 27} 4' p'ro"e~~? 10, lfJZ-lt'3 1I&chn1tiyll, 27 -bt7o?{,?} 2.Z- 2G, ?;~,43, lfJ7 f7ul?LJffe-t, Je.an, 72f7ufy, R.$oLJ I, 171 7' c;.ontolJr~, 3", 4~" '3~-a>o, «z, 84, 'J~ conf;ra'1t, 31Jt, '3~, 172 -17~ CO/1ve-r~~l1ce-, 104-101;; Corl1lJ~,~r, ~~, Z~, ?"1:3 cre.atlV& rroc.e~, dr.awlng a~.1 ?;O 208 elevabof1 vlew~, 11;2 ~ 1?~ h3tch,n~, 4f; Hoku~.3I, 151 et1VI6IorJlng, 1?J7~ 17~ t-~ UI VQc,,1 fIg ure~, 1e; horizon lIne-, eXf?re~~Jn~ ~hrtllJ~ h d r;awln~, 10, 20 bxpr~~IV~ Ilne~, 30 Jf~-4~ ?r III L1~IOt'l~, 10, 7~ &Xflor3to!'"j drAWln~, 30-?!1 figure - ground relatlon~hlr~, (;0,70-71 flgure~ In re-r~rec.tlVt-, 17A - 17~ &~3bll~hln~ ~t;.lre, ~~ flexl 1111 ,./;y, 1PJb-l~" ~I;, lo? Im3~1t1.3tI0t1, 31, 13fJ- 14'?J Ilnt-~, 12~·127 Inc.l,t1t:d I n-tvl~ IPM, 1b4-1 fJl7 l~e remrl~, ~4, 147 l~omeit"'le- vlew~) 1I7~-II7~, fluenc.y, 1b,,-1b1 fore~hortenlf1g, lo~-107 form) Jr3wln'1, 1?7, 7fJ, 1~t7 e:rY31/tlt~ t?F, 20, 4'~.~7, 173,81 Ja~tro~ JtJeterh, to John~ot1) '53rt1ue-I, 1~~ Jord3t-n'!7, J3ub, 4~ ~u1?o/tr30tlV~, 1~4~ 1~G Fro~t, RtJbu-t, 77 Kumyoethl) qeome-bry, 44, 12~ l~ya~1 Jr3wln'!? In, 1~~-1~1 ft?rm~, adJ/tlVe, '''2 -16~ vomr1ex, IWIP - 1~ '1 ~t~ture tfr;wlrtg, 00 "r3t?hlv trt3t/11t-nt, 21 ~rI4~, 14'0 ll?tr, llPT groond rI3ne,,~I7, grourln~1 12.-7?; 102- Kahn) ~OVI~ L) 1717 /70 ~e; light, 21, 41, 4~, eo, 130-1~1, lu;~, 112·11~ line .?f ~I~ht, 101 lIne. 3~ ~r3WIf11 e1t-m~nf;, '2.0, 3r7-~1 11I1e3r re.r'?t?t-c.tlV~, oe- 1317 line'?, c:;alll.qr;aph,c-, t?1 COt11;OVtj '%) ttz -417, ?~, (,2, ~4­ tJr3WIt1t1) 'b~41 e')(pre~~lVe, 07) -t~-.q.1 Illv~I0t13\y, 7"7 moJelln~, 4-~~4~ If, 20- 21 regul.31;It1~) ?J7) t?2-17l;; Ylrtv~l, 7~ IOC-31 V31IJe~) 1v.al/tle~ eo 204 M3t!jrl1:1te-, Rent-, 'Zoo mater/;3It7) Il1d IO.ptl n~, 44M~tl~<)e, He-nr/, 37, ~4M;3J bet-k.; J;erl1;3r.d, 1~17 memory drawlnt1, 1e mlnd'~ eye, R.aeh;ael, Rembr.aI1Jt. v.an Run, 1,1)~ rerre~e.nt-;atl"n, .ar.3wln~ ;J~7 28,Z~ R17JIn, Avgv~te, 11)" Rvbel1~) r~l;~r P.aU/, 107 1~-17, 7tP-77, 14"0 m"tl~rll1~ Ilne~ 4f>'~~ l11ovement, Indlc3tll1g, 21 n2tur21,1flt./v gh.are?, ~4 Nevm.a/1I1, BJlth;3~~r, 1131 6c;aI~) ~Jf' ~'7, 174-1713, 11)~ ~~ctl~n VIe.W~, "bl/q'y~ vlew~) 117V,1171, 1717 one'pOll1f, r.er~pevf;IVe-, lOb, 110' 111 orbh17graphlc- VJe-w~, 1tf~, 1G~ OVe-rl3PPI ng ;3~.3 de~h c,lve, ~4 P~1I1bheon, 115'2 parallnt-- vlew~, 115'5' 1?~ r;attern, '2(" 40, 11)4-,11)17 pe-no";;, 22-'2'3, '2f5 pel1~, '22, 2Jf,2/? people, ar2wln'1, 114-, f7~ l7e-rcep'bIc?I1, 1Z' 1;; per.;re.ctwe, eleme-ntg ~, 101' 10~ ~t17metry. 1:2~ -1 '317 1111 e;a,..., ~ f> - 1.;17 mea'?ureme.nt~, vlew~, 1"'5, 11t;,11" 17T? 1~O' 1~1, f';a/1/", 30, ~4, 77, 1eo picture rJ;al1e, ~r;, 1172, 104 -10G f'IC.a~~O, rl.~11 vlew~, 148- 14-~ f're~el1tat/"n ~ rawln~~) ~~ proJe.cf;/on, 7~' 77 prt'portlon, 17, t7Z, ~4--~r?, (;fJ, (,~ rroxlml'by, 72 ~1 refl~c,-/;.Ic?n~; 134-1?17 r~gul.atln1Ifne~, '37, 172';fi Re I me c.",-Bhed r; I, 1170 1170'1'71 6ee-1111, 10, 120'17, 1~2-1~' 6ele-ctlvl1;y) l~f> -1~~ 6hatde, 20) 7~'80, ~h.ad~W~) ":7h;are , ~h;ape se, 1"., 130-1'?~) 17Z 11, '20, 4-2 '4'~, r;~ - J5~, '?7-8'!J, 172- oon;;t;mc.y, 8& 6h;aFe~, ~b~tr2c.t, fJG ;at; ?JI11 b"I~? PJ~, 81 (7i"'q;3nlz.In~, 70-71 pO~ltlVe 2nd negative, oo-o» t?lghtlng 'liec.hn(qye<?, r;~-,,~ ~1t3n~) '07 ~Im"arlty, 71Slm uttJ3I1!10U'? c.ontra'!?t, 1? t?IZ~ c,ol1"'JtanvY, o» t?IUo <3'7 depth clue, "'3 ~~.,ce) '20, ~4, (;'5, oz, 16~, 110,111 plctlm.a/, ~Z '?p.atl:31 rel.,~IOI1~hlr~, ?4 sr,ec..v/.,t,on, ar.awtng ze, 182-18'5 ~~ruc.tur.31 p;atiern~, 11, 2~, 2~, 44, so- t?4, ~~, 817' f>I) ~iJ I1Ject m.af;t.er, '2(, '5ubtr.3ctlVe form~, 1~4-1~¥7 surbce, 1Y2>lltl~~, 1~'7~ tJ1 t7ym/?dJ~; 172-, ~yn-/;;he~/~, 1~~-1~7 tuhn It~1 dll)~br..atIOf1'?, 3~ -t~xture7 21, 44, 4~, 4~, 7~, 8Z, ~7, 1~~ -I;hre"~rPlnt re-r~r~vtIV&-7 10~, 11~~111' tOI1.3/ v.alue-~, 4~~4~) 7tJ-t;" ~~, 1~~) 112 ~,..ee~, dr.aw1f117 171 two~ pc;,rrt pe-ri?p~c1;JVe.7 1ot>, 112 -11 G v.anl~hlf11 rOlnb~7 1P4·1pt:;, 124-1217 3? .d!lpth c-Iu&-, t?)~ VI~WrOJnt~, Ar.aWIn~, 14, 2'" 14'7~ 1~/, /10 vertl&.al lo&tltlon VI?IOt1, 1~ V'~lJ~1 .acuI-by, 44 YI~u~1 concept~, v,~u~1 dt/p,th ee-e« c-Iue~) 13-~7 vl~lJal JU~gmt}I11;?) 637 ee, l~O VI~U~( memt7r,~~, I~, Z~, 13') vl~v31 rerce:.ptlOI1, 12-11:5, 11, 2~) 14Z v,",u.al i?Igt1~tur~~, 22 -Zt7 vl~u;il1 thlt1klrl~, ~0-~1, ?Jb, /40-144' VI~U31IZIt1~ 1. 10, I~ ~1~, ~O~ ~l, 40-42.,71, 142 Yud/;arJ, E-Juo.ar'd, t30 Wh,~i;ler, J.~rrJe'5 Awot.t;, -:;1 Wrlght-, Fr.ank [,IoyJ, 1~ -----------------.