MA 256 Creative Geometry
Activity 7: Gothic Designs
Name ___________________________________
Program of Study _________________________
SYMMETRY
1) What is symmetry?
http://en.wikipedia.org/wiki/Symmetric
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2) What is asymmetry?
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3) List eight different types of Symmetry in the field of geometry.
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4) Explain symmetry in aesthetics and how it influences perceptions of art.
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5) What type of symmetries does a circle have?
http://www.ehow.com/info_8185728_true-circle-three-types-symmetry.html
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6) What is a Sri Yantra?
http://www.sriyantraresearch.com/
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7) Complete the Sri Yantra activity (Time permitting. See instructor for handout). Attach your
drawing.
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MA 256 Creative Geometry
Activity 7 Gothic Designs
8) What is Cymatics?
http://www.sriyantraresearch.com/Article/Om/om_sri_yantra_legend.html#Cymatics
http://cymascope.com/cyma_research/history.html
http://www.ted.com/talks/evan_grant_cymatics.html
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9) How has the Sri Yantra been linked to Cymatics?
http://www.youtube.com/watch?v=RD1h2np77xk&feature=related
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Classroom Activity 1
10) Draw some simple pictures with Symmetry Artist that have reflective and rotational
symmetries. Label your drawings with the type of symmetries that you used. Include
designs with x-axis symmetry, y-axis symmetry and symmetry to the origin. Attach your
results.
http://www.mathsisfun.com/geometry/symmetry-artist.html
CARTESIAN SYMMETRY
11) List the points that are symmetric to the following with respect to the x-axis.
(3, 5) (-4, 2) (-5, -1)
12) List the points that are symmetric to the following with respect to the y-axis.
(3, 5) (-4, 2) (-5, -1)
13) List the points that are symmetric to the following with respect to the origin.
(3, 5) (-4, 2) (-5, -1)
14) Write the equation of the line symmetric to y = 2x – 5 with respect to the x-axis.
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15) Write the equation of the line symmetric to y = 2x – 5 with respect to the y-axis.
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16) Write the equation of the line symmetric to y = 2x – 5 with respect to the origin.
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MA 256 Creative Geometry
Activity 7 Gothic Designs
Classroom Activity 2
17) Draw some simple pictures with Grapher that have reflective and rotational symmetries.
Label your drawings with the type of symmetries that you used. Include designs with x-axis
symmetry, y-axis symmetry and symmetry to the origin. Attach your results.
GOTHIC ARCHITECTURE
18) What is Gothic Architecture?
http://en.wikipedia.org/wiki/Gothic_architecture
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19) When did it originate?
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20) A study of Gothic architecture is largely a study of ________________________________
21) Name five types of buildings that Gothic architecture is typically associated with.
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22) List five famous buildings constructed with Gothic architecture.
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23) Name four basic Gothic constructions.
http://www.newyorkcarver.com/geometry/geometry.htm
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MA 256 Creative Geometry
Activity 7 Gothic Designs
Activity 3
First, use a compass and ruler to construct the following. Attach your results.
Second, use the Grapher software to construct the following. Attach your results.
24) Construct a Gothic Arch
25) Construct an Ogee.
26) Construct a Trifoil.
27) Construct a Rose Window.
Activity 4
Use the Grapher software to construct the following. Attach your results.
28) Construct a Gothic Arch
29) Construct an Ogee.
30) Construct a Trifoil.
31) Construct a Rose Window. (Time permitting)
Stone Carving Course
http://www.google.com/imgres?imgurl=http://www.stonecarvingcourses.com/images/geometry/e
quilateral.gif&imgrefurl=http://www.stonecarvingcourses.com/the-geometry-of-gothicarchitecture&h=268&w=327&sz=3&tbnid=TsgFYIwpD73JPM:&tbnh=90&tbnw=110&zoom=1
&usg=__6QsfbLvClWtLxXt98O7VDAyneRQ=&docid=FKZZdKu7YWOGCM&sa=X&ei=tE7
CUIX8KpTS8wSLpICIDg&ved=0CE4Q9QEwBg&dur=889
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