Runcicantitruncated tesseractic honeycomb
{{Short description|Tessellation pattern}}
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!bgcolor=#e7dcc3 colspan=2|Runcicantitruncated tesseractic honeycomb | |
bgcolor=#ffffff align=center colspan=2|(No image) | |
bgcolor=#e7dcc3|Type | Uniform 4-honeycomb |
bgcolor=#e7dcc3|Schläfli symbol | t0,1,2,3{4,3,3,4} |
bgcolor=#e7dcc3|Coxeter-Dynkin diagram | {{CDD|node_1|4|node_1|3|node_1|3|node_1|4|node}} {{CDD|node_1|4|node_1|3|node_1|split1|nodes_11}} |
bgcolor=#e7dcc3|4-face type | Truncated 24-cell 40px |
bgcolor=#e7dcc3|Cell type | truncated cuboctahedron 20px truncated octahedron 20px octagonal prism 20px hexagonal prism 20px cube 20px |
bgcolor=#e7dcc3|Face type | {4}, {6}, {8} |
bgcolor=#e7dcc3|Vertex figure | irr. 5-cell |
bgcolor=#e7dcc3|Coxeter group | = [4,3,3,4] = [4,3,31,1] |
bgcolor=#e7dcc3|Dual | |
bgcolor=#e7dcc3|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
{{C4_honeycombs}}
{{B4_honeycombs}}
See also
Regular and uniform honeycombs in 4-space:
Notes
{{reflist}}
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}} [http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471010030.html]
- (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&dq=%22quarter+cubic+honeycomb%22+q%7B4%2C3%2C4%7D&pg=PA318]
- 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}} x3x3x *b3x4x, x4x3x3x4o - gippittit - O100
- {{cite book |author=Conway JH, Sloane NJH |year=1998 |title=Sphere Packings, Lattices and Groups |publisher=Springer |edition=3rd |isbn=0-387-98585-9 |url-access=registration |url=https://archive.org/details/spherepackingsla0000conw_b8u0 }}
{{Honeycombs}}
{{DEFAULTSORT:Demitesseractic Honeycomb}}