Английская Википедия:Cantitruncated 24-cell honeycomb
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| Cantitruncated 24-cell honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | tr{3,4,3,3} |
| Coxeter-Dynkin diagrams | Шаблон:CDD |
| 4-face type | t{4,3,3} tr{3,4,3} {3,3}×{} |
| Cell type | |
| Face type | |
| Vertex figure | |
| Coxeter groups | <math>{\tilde{F}}_4</math>, [3,4,3,3] |
| Properties | Vertex transitive |
In four-dimensional Euclidean geometry, the cantitruncated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a cantitruncation of the regular 24-cell honeycomb, containing truncated tesseract, cantitruncated 24-cell, and tetrahedral prism cells.
Alternate names
- Cantellated icositetrachoric tetracomb/honeycomb
- Great rhombated icositetrachoric tetracomb (gricot)
- Great prismatodisicositetrachoric tetracomb
Related honeycombs
See also
Regular and uniform honeycombs in 4-space:
- Tesseractic honeycomb
- 16-cell honeycomb
- 24-cell honeycomb
- Rectified 24-cell honeycomb
- Snub 24-cell honeycomb
- 5-cell honeycomb
- Truncated 5-cell honeycomb
- Omnitruncated 5-cell honeycomb
References
- Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, Шаблон:ISBN p. 296, Table II: Regular honeycombs
- Kaleidoscopes: Selected Writings of H.S.M. Coxeter, edited by F. Arthur Sherk, Peter McMullen, Anthony C. Thompson, Asia Ivic Weiss, Wiley-Interscience Publication, 1995, Шаблон:ISBN [1]
- (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45]
- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs) Model 114
- Шаблон:KlitzingPolytopes o3o3x4x3x - gricot - O114
