Template:D5 honeycombs
| Cantellated 4-simplex honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | t0,2{3[5]} |
| Coxeter diagram | Template:CDD |
| 4-face types | t1{33}  t0,2{33}  t0,3{33} 
|
| Cell types | Tetrahedron  Octahedron  Cuboctahedron  Triangular prism 
|
| Vertex figure | triangular elongated-antiprismatic prism |
| Symmetry | ×2, [[3[5]]] |
| Properties | vertex-transitive |
In four-dimensional Euclidean geometry, the cantellated 4-simplex honeycomb or cantellated 5-cell honeycomb is a space-filling tessellation honeycomb.
Alternate names
- small cyclorhombated pentachoric tetracomb
- small prismatodispentachoric tetracomb
Related polytopes and honeycombs
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See also
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
Notes
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References
- Norman Johnson Uniform Polytopes, Manuscript (1991)
- 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 [1]
- (Paper 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
- (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 136
- Template:KlitzingPolytopes x3o3x3o3o3*a - scyropot - O136
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