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词条 Omnitruncated tesseractic honeycomb
释义

  1. Related honeycombs

  2. See also

  3. References

omnitruncated tesseractic honeycomb
(No image)
TypeUniform honeycomb
Schläfli symbolt0,1,2,3,4{4,3,3,4}
Coxeter diagramnode_1|4|node_1|3|node_1|3|node_1|4|node_1}}
4-face typeOmnitruncated tesseract
Truncated cuboctahedral prism
8-8 duoprism
Cell typeTruncated cuboctahedron
Truncated octahedron
Octagonal prism
Hexagonal prism
Cube
Face type{4}, {6}, {8}
Vertex figureirr. 5-cell
Coxeter groups×2, {{brackets>4,3,3,4}}
PropertiesVertex transitive

In four-dimensional Euclidean geometry, the omnitruncated tesseractic honeycomb is a uniform space-filling honeycomb. It has omnitruncated tesseract, truncated cuboctahedral prism, and 8-8 duoprism facets in an irregular 5-cell vertex figure.

Related honeycombs

{{C4_honeycombs}}

See also

  • Truncated square tiling
  • Omnitruncated cubic honeycomb

Regular and uniform honeycombs in 4-space:

  • Tesseractic honeycomb
  • 16-cell honeycomb
  • 24-cell honeycomb
  • Truncated 24-cell honeycomb
  • Snub 24-cell honeycomb
  • 5-cell honeycomb
  • Truncated 5-cell honeycomb
  • Omnitruncated 5-cell honeycomb

References

  • Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, {{isbn|0-486-61480-8}} p. 296, Table II: Regular honeycombs
  • 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]
  • 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}} x4x3x3x4x - otatit - O103
{{Honeycombs}}

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

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