释义 |
- Related honeycombs
- See also
- References
omnitruncated tesseractic honeycomb | (No image) | Type | Uniform honeycomb | Schläfli symbol | t0,1,2,3,4{4,3,3,4} | Coxeter diagram | node_1|4|node_1|3|node_1|3|node_1|4|node_1}} | 4-face type | Omnitruncated tesseract Truncated cuboctahedral prism 8-8 duoprism | Cell type | Truncated cuboctahedron Truncated octahedron Octagonal prism Hexagonal prism Cube | Face type | {4}, {6}, {8} | Vertex figure | irr. 5-cell | Coxeter groups | ×2, {{brackets>4,3,3,4}} | Properties | Vertex transitive |
In four-dimensional Euclidean geometry, the omnitruncated tesseractic honeycomb is a uniform space-filling honeycomb. It has omnitruncated tesseract, truncated cuboctahedral prism, and 8-8 duoprism facets in an irregular 5-cell vertex figure. Related honeycombs{{C4_honeycombs}} See also - Truncated square tiling
- Omnitruncated cubic honeycomb
Regular and uniform honeycombs in 4-space: - Tesseractic honeycomb
- 16-cell honeycomb
- 24-cell honeycomb
- Truncated 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, {{isbn|0-486-61480-8}} 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, {{isbn|978-0-471-01003-6}}
- (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)
- {{KlitzingPolytopes|flat.htm|4D|Euclidean tesselations}} x4x3x3x4x - otatit - O103
{{Honeycombs}} 3 : 5-polytopes|Honeycombs (geometry)|Truncated tilings |