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326:- regular hyperbolic honeycomb with same Schläfli type, {3,5,3}. (The 11-cell can be considered to be derived from it by identification of appropriate elements.)
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It has symmetry order 660, computed as the product of the number of cells (11) and the symmetry of each cell (60). The symmetry structure is the abstract group
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The 11 hemi-icosahedra with vertices labeled by indices 0..9,t. Faces are colored by the cell it connects to, defined by the small colored boxes.
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Isama 2007, Texas A&m hyper-Seeing the
Regular Hendeca-choron. (= 11-Cell)
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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 with 11 elements L
246:{3,5,3}, with 3 hemi-icosahedra (Schläfli type {3,5}) around each edge.
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contains the same number of vertices and edges as the 10-dimensional
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in 1984, who studied its structure and symmetry in greater depth.
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J. Lanier, Jaron’s World. Discover, April 2007, pp 28-29.
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242:. It has 11 vertices, 55 edges and 55 faces. It has
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170:{\displaystyle \{\{3,5\}_{5},\{5,3\}_{5}\}}
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397:"Explanations GrĂĽnbaum-Coxeter Polytopes"
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386:Hyperseeing the Regular Hendecachoron
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344:, Cambridge University Press, 2002.
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251:projective special linear group
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260:It was discovered in 1977 by
289:with 11 vertices, 55 edges.
232:abstract regular 4-polytope
44:Abstract regular 4-polytope
16:Abstract regular 4-polytope
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342:Abstract Regular Polytopes
367:, 2003, Michael I Hartley
236:four-dimensional polytope
283:Orthographic projection
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324:Icosahedral honeycomb
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238:). Its 11 cells are
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414:Regular 4-polytopes
395:Klitzing, Richard.
384:2007 ISAMA paper:
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272:Related polytopes
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97:hemi-dodecahedron
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336:Peter McMullen,
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266:H. S. M. Coxeter
240:hemi-icosahedral
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104:Schläfli symbol
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292:The abstract
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244:Schläfli type
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221:mathematics
331:References
298:10-simplex
287:10-simplex
210:Properties
314:5-simplex
229:self-dual
204:self-dual
188:Abstract
186:order 660
408:Category
308:See also
302:subspace
213:Regular
83:Vertices
22:11-cell
319:57-cell
294:11-cell
225:11-cell
70:55 {3}
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257:(11).
223:, the
227:is a
75:Edges
67:Faces
50:Cells
346:ISBN
200:Dual
194:(11)
40:Type
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