Cantitruncated 5-cell honeycomb
| Cantellated tesseractic honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | t0,2{4,3,3,4} |
| Coxeter-Dynkin diagram | Template:CDD Template:CDD |
| 4-face type | t0,2{4,3,3}  t1{3,3,4}  {3,4}×{} 
|
| Cell type | Octahedron  Rhombicuboctahedron  Triangular prism 
|
| Face type | {3}, {4} |
| Vertex figure | Cubic wedge |
| Coxeter group | = [4,3,3,4] = [4,3,31,1] |
| Dual | |
| Properties | vertex-transitive |
In four-dimensional Euclidean geometry, the cantellated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a cantellation of a tesseractic honeycomb creating cantellated tesseracts, and new 24-cell and octahedral prism facets at the original vertices.
Related honeycombs
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See also
Regular and uniform honeycombs in 4-space:
- Tesseractic honeycomb
- Demitesseractic honeycomb
- 24-cell honeycomb
- Truncated 24-cell honeycomb
- Snub 24-cell honeycomb
- 5-cell honeycomb
- Truncated 5-cell honeycomb
- Omnitruncated 5-cell honeycomb
Notes
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References
- 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 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] See p318 [2]
- George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
- Template:KlitzingPolytopes o3x3o *b3o4x, x4o3x3o4o - srittit - O90
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