Runcicantitruncated tesseractic honeycomb
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| Runcicantitruncated tesseractic honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | t0,1,2,3{4,3,3,4} |
| Coxeter-Dynkin diagram |      
|
| 4-face type | Truncated 24-cell  Truncated octahedral prism |
| Cell type | truncated cuboctahedron  truncated octahedron  octagonal prism  hexagonal prism File:Hexagonal prism.png cube File:Hexahedron.png |
| Face type | {4}, {6}, {8} |
| Vertex figure | irr. 5-cell |
| Coxeter group | = [4,3,3,4] = [4,3,31,1] |
| Dual | |
| Properties | vertex-transitive |
In four-dimensional Euclidean geometry, the runcicantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.
Related honeycombs
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
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 Search this book on
. [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)
- Klitzing, Richard. "4D Euclidean tesselations#4D". x3x3x *b3x4x, x4x3x3x4o - gippittit - O100
- Conway JH, Sloane NJH (1998). Sphere Packings, Lattices and Groups (3rd ed.). Springer. ISBN 0-387-98585-9. Search this book on
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