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The symmetry order is 3420, from the product of the number of cells (57) and the symmetry of each cell (60). The symmetry abstract structure is the
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317:, Encyclopedia of Mathematics and its Applications, vol. 92, Cambridge: Cambridge University Press, pp. 185–186, 502,
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Perkel, Manley (1979), "Bounding the valency of polygonal graphs with odd girth",
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The
Classification of Rank 4 Locally Projective Polytopes and Their Quotients
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of the 2-dimensional vector space over the finite field of 19 elements, L
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235:– abstract regular polytope with hemi-icosahedral cells.
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265:(1982), "Ten toroids and fifty-seven hemidodecahedra",
219:{6,5,2;1,1,3}, discovered by Manley Perkel (
432:Siggraph 2007: 11-cell and 57-cell by Carlo Sequin
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241:– regular 4-polytope with dodecahedral cells
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463:"Explanations GrĂĽnbaum-Coxeter Polytopes"
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385:"The Regular 4-dimensional 57-cell"
490:. You can help Knowledge (XXG) by
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211:The vertices and edges form the
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350:Canadian Journal of Mathematics
171:projective special linear group
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245:Order-5 dodecahedral honeycomb
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28:Abstract regular 4-polytope
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393:ACM SIGGRAPH 2007 Sketches
314:Abstract Regular Polytopes
421:, 2003, Michael I Hartley
156:four-dimensional polytope
323:10.1017/CBO9780511546686
405:10.1145/1278780.1278784
364:10.4153/CJM-1979-108-0
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207:with 19-fold symmetry
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145:pentacontaheptachoron
186:H. S. M. Coxeter
537:Regular 4-polytopes
461:Klitzing, Richard.
268:Geometriae Dedicata
439:Weisstein, Eric W.
281:10.1007/BF00149428
217:intersection array
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137:mathematics
531:Categories
484:4-polytope
256:References
158:). Its 57
126:Properties
102:order 3420
447:MathWorld
297:120672023
149:self-dual
120:self-dual
104:Abstract
413:37594016
311:(2002),
239:120-cell
227:See also
129:Regular
92:{5,3,5}
67:Vertices
54:171 {5}
19:57-cell
373:0553163
341:1965665
289:0679218
233:11-cell
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180:It has
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397:(PDF)
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293:S2CID
160:cells
59:Edges
51:Faces
34:Cells
488:stub
327:ISBN
221:1979
190:1982
162:are
116:Dual
110:(19)
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24:Type
401:doi
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