- Related honeycombs
- See also
- Notes
- References
| Runcinated tesseractic honeycomb | |
|---|---|
| (No image) | |
| Type | Uniform 4-honeycomb |
| Schläfli symbol | t0,3{4,3,3,4} t0,3{4,3,31,1} |
| Coxeter-Dynkin diagram | node_1|4|node|3|node|3|node_1|4|node}} {{CDD|node_1|4|node|3|node|split1|nodes_11}} |
| 4-face type | runcinated tesseract tesseract rectified tesseract cuboctahedral prism |
| Cell type | Cuboctahedron Tetrahedron Cube Triangular prism |
| Face type | {3}, {4} |
| Vertex figure | triangular-antipodial antifastigium |
| Coxeter group |  = [4,3,3,4] = [4,3,31,1] |
| Dual | |
| Properties | vertex-transitive |
In four-dimensional Euclidean geometry, the runcinated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a runcination of a tesseractic honeycomb creating runcinated tesseracts, and new tesseract, rectified tesseract and cuboctahedral prism facets.
Related honeycombs
{{C4_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}}
- (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] See p318 [https://books.google.com/books?id=fUm5Mwfx8rAC&lpg=PA318&ots=dnT1LYgmij&dq=%22quarter%20cubic%20honeycomb%22%20q%7B4%2C3%2C4%7D&pg=PA318#v=onepage&q=%22quarter%20cubic%20honeycomb%22%20q%7B4,3,4%7D&f=false]
- 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#4D}} x3o3x b3o4x, x4o3o3x4o - sidpitit - O91
- {{cite book |author=Conway JH, Sloane NJH |year=1998 |title=Sphere Packings, Lattices and Groups |edition=3rd |isbn=0-387-98585-9}}
2 : Honeycombs (geometry)|5-polytopes
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