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|TypeUniform 4-honeycomb
bgcolor=#e7dcc3|Schläfli symbolt0,1,2,3{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 typeTruncated 24-cell 40px

Truncated octahedral prism 40px

4-8 duoprism 40px

Omnitruncated tesseract 40px

bgcolor=#e7dcc3|Cell typetruncated cuboctahedron 20px
truncated octahedron 20px
octagonal prism 20px
hexagonal prism 20px
cube 20px
bgcolor=#e7dcc3|Face type{4}, {6}, {8}
bgcolor=#e7dcc3|Vertex figureirr. 5-cell
bgcolor=#e7dcc3|Coxeter group{\tilde{C}}_4 = [4,3,3,4]
{\tilde{B}}_4 = [4,3,31,1]
bgcolor=#e7dcc3|Dual
bgcolor=#e7dcc3|Propertiesvertex-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

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}}

Category:Honeycombs (geometry)

Category:5-polytopes

Category:Truncated tilings