5 (4–6) Internal layer with longitudinal lineations Spine shape Basal region Cone-in-cone construction Affinity Burgess Shale, southwest Canada Triangular Diagonal Diminishing, Present more closely spaced Absent Present Gently curving Not flaring Present Hallucigenia sparsa Series 2, upper Mount Cap Fm., Stage 4, and Series northwest Canada 3, Stage 5. Triangular Diagonal Diminishing, Present more closely spaced Absent Present Gently curving Not flaring Present Hallucigenia sparsa Absent Absent? Gently curving Not flaring Absent Absent? Carbon — Series 2, Stage 4 Forteau Fm., northwest Canada Carbon cf.Rushtonites / Mongolitubulus Series 3, early Stage 5 Kaili Phosphate Rhombocorniculum cancellatum Series 2, Stage 3 Dokidocyathus tenaicus zone, Rhombocorniculum Latest Tommotian insolutum (Terreneuvian, Stage 2) Diagonal Present Unknown Absent Present Curving Suggested No by external evidence Hallucigeniid constriction of flaring s Unclear Absent Unknown Gently curving Narrowin Hallucigenia g – not Unknown sp. flaring Lower Comley Limestones, England Triangles, rounded tips Diagonal Present Unknown Unknown Unknown; spine wall comprises two layers Gently curving Unknown M. squamifer Dyeran = BonniaHenson Gletscher Olenellus Zone Fm., central North (Series 2, late Stage Greenland 3- ?early Stage 4) Rounded triangles Diagonal Present Unknown Diminishing or absent Present M. squamifer Botomian: Series 2, Glacial erratics, late Stage 3 / early West Antarctica; Stage 4 Kazakhstan Rounded triangles or rhombi Diagonal Present Unknown Diminishing or absent Present Diagonal Diminishing, Present more closely spaced (4) Phosphate Rushtonites spinosus Series 2, Stage 4 10 (14), figs. 2-3 Phosphate Hallucigenia sp. Present 7 Phosphate Present Diagonal Phosphate 9 England, North America, China, Triangular Mongolia, Siberia, Kazhakhstan… Curving or Gently Unknown curving Suggested Hallucigenia by apical sp. thickening Elongate triangles (7) (10), fig, 13 (11), fig. 23, A, B, D–H (12), Pl. 8.5 (13) Diagonal, Diminishing, some subSubstantial more closely transverse spaced rows Diagonal or Triangular sub-transverse Present Unknown rows Triangular – tip trifurcated Kazakhstan 6 (8), fig. 2A–D 8 Phosphate (9), fig. 2 Ornament near base Series 3, Stage 5 Local perturbations in ornament Ornament in apical region 4 (3), fig. 7A–E Ornament arrangement This paper cf. Rushtonites Scale shape 3 Carbon Location (2), figs. 3.5– 3.7 This paper Carbon + Hallucigenia sparsa phosphate Age 2 Described as Reference (1), fig. 5 This paper Preservation Supp. Fig. 1: 1 Latest Atdabanian Mongolitubulus / Shabakhty Fm., (Series 2, mid Stage Xenusion Kazakhstan 3) Rounded triangles Absent Present Represented by organic Hallucigenia internal sp. layer? Straight or Hallucigenia gently Unknown Unknown sp. curving Gently curving Unknown Absent? Hallucigenia sp. Not Straight or flaring– Hallucigenia Unknown curving narrowing sp. slightly? (15), fig. 5 A– 11 Phosphate H M. squamifer Pararaia biozone (Series 2, mid to late Stage 3) Mernmerna Formation, Ajax limestone, Australia Rounded triangles Diagonal Present Unknown Absent Internal layer apparent in Fig. 5H Gently curving Unknown Unknown Hallucigenia sp. Unknown Gently curving? Unknown Unknown ? (16), plate I:1–2 Phosphate M. squamifer “Lower Cambrian”: Mongolia / Siberia Series 2? Rhombi Two intersecting diagonal series Absent Unknown (9), fig 3 Phosphate M. henrikseni Early to mid Bastion Fm, NorthDyeran (Series 2, east Greenland Stage 3) Pustules Irregular or in loose rings n/a Diminishing As shaft Absent? Gently curving Strongly flaring Absent Bradoriid No change, until base begins to flare As shaft Absent? Gently curving with distal hook Flaring Unknown Bradoriid Flaring, attached Unknown to carapace Bradoriid Flaring Bradoriid (15), fig. 5 I-N Phosphate (15), fig. 6 Phosphate (17) Phosphate (18), fig. 4.19 Phosphate (20), figs. 33– Phosphate 35 (21), fig. 5 E–J Phosphate (22), fig. 1 Phosphate (22), fig. 2 Phosphate (23), fig. 6.1–2 Phosphatic Mernmerna Approximately Formation, Ajax Oblongs and diagonal; M. sp. Absent limestone, pustules linear rows of Australia pustules Mernmerna Pustules or Irregular or Pararaia biozone Formation, Ajax M. unispinosa spinose single diagonal n/a (Series 2, Stage 3) limestone, projection series Australia Irregular or Alum Shale Furongian: Pustular forming M. aspermachaera Formation, n/a Jiangshanian ‘pads’ transverse Sweden rings Ville Guay Fm., M. squamifer? Series 2, Stage 4 Pustules Irregular n/a Quebec Series 3: Stage 5 to Kuonamka Fm., Reticulate M. reticulatus n/a n/a early Drumian Northern Siberia network Ordian: Series 2, late Stage 4 to Pincally Fm., Blunt Sub-linear M. squamifer n/a Series 3, early NSW, Australia tubercles columns Stage 5 Ornamented Tube Series 3, Drumian– Huaqiao Fm., west Linear Oblongs n/a Form I Guzhangian Hunan, China columns Irregular; Tiny spines Ornamented Tube Series 3, Drumian– Huaqiao Fm., west separate motif or ovoid n/a Form II Guzhangian Hunan, China on convex side sculptures of spines “Rushtonites” Branchian: Series Brigus Fm., Conical Irregular n/a asiatica 2, Stage 3 Newfoundland ‘lumps’ Pararaia biozone (Series 2, mid to late Stage 3) No change As shaft Absent Bent rod No change As shaft Absent? Bent, with hooked apex Unknown As shaft, per Unknown (19) fig. 4.12 Unknown Absent? Unknown Unknown No change As shaft Absent? Straight with apical hook Unknown Unknown Unknown Gently curving Unknown Unknown Unknown Two or three layers Gently curving Unknown Unknown Unknown Unknown Unknown Unknown As shaft No Flaring Unknown Bradoriid Absent? Bradoriid Gently curving, Flaring hooked apex? Gently curving Bradoriid? Unknown Bradoriid? Unknown Bradoriid Absent Bradoriid? ESM-Table 1. Evaluation of material ascribed to the hallucigeniids, Mongolitubulus or Rhombocorniculum. Cells are shaded where they match the state in Hallucigenia, and hatched where their value is uncertain. References 1. N. J. Butterfield, A reassessment of the enigmatic Burgess Shale fossil Wiwaxia corrugata (Matthew) and its relationship to the polychaete Canadia spinosa Walcott, Paleobiology 16, 287–303 (1990). 2. N. J. Butterfield, C. J. Nicholas, Burgess Shale-type preservation of both non-mineralizing and “shelly” Cambrian organisms from the Mackenzie Mountains, northwestern Canada, Journal of Paleontology 70, 893– 899 (1996). 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