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词条 Runcicantitruncated tesseractic honeycomb
释义

  1. Related honeycombs

  2. See also

  3. Notes

  4. References

Runcicantitruncated tesseractic honeycomb
(No image)
TypeUniform 4-honeycomb
Schläfli symbolt0,1,2,3{4,3,3,4}
Coxeter-Dynkin diagramnode_1|4|node_1|3|node_1|3|node_1|4|node}}
{{CDD|node_1|4|node_1|3|node_1|split1|nodes_11}}
4-face typeTruncated 24-cell
Truncated octahedral prism

4-8 duoprism

Omnitruncated tesseract
Cell typetruncated cuboctahedron
truncated octahedron
octagonal prism
hexagonal prism
cube
Face type{4}, {6}, {8}
Vertex figureirr. 5-cell
Coxeter group = [4,3,3,4]
= [4,3,31,1]
Dual
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

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}} x3x3x b3x4x, x4x3x3x4o - gippittit - O100
  • {{cite book |author=Conway JH, Sloane NJH |year=1998 |title=Sphere Packings, Lattices and Groups |edition=3rd |isbn=0-387-98585-9}}
{{Honeycombs}}{{DEFAULTSORT:Demitesseractic Honeycomb}}

3 : Honeycombs (geometry)|5-polytopes|Truncated tilings

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