Английская Википедия:Cantitruncated 24-cell honeycomb

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Cantitruncated 24-cell honeycomb
(No image)
Type Uniform 4-honeycomb
Schläfli symbol tr{3,4,3,3}
Coxeter-Dynkin diagrams Шаблон:CDD
4-face type t{4,3,3}
tr{3,4,3}
{3,3}×{}
Cell type
Face type
Vertex figure
Coxeter groups <math>{\tilde{F}}_4</math>, [3,4,3,3]
Properties Vertex transitive

In four-dimensional Euclidean geometry, the cantitruncated 24-cell honeycomb is a uniform space-filling honeycomb. It can be seen as a cantitruncation of the regular 24-cell honeycomb, containing truncated tesseract, cantitruncated 24-cell, and tetrahedral prism cells.

Alternate names

  • Cantellated icositetrachoric tetracomb/honeycomb
  • Great rhombated icositetrachoric tetracomb (gricot)
  • Great prismatodisicositetrachoric tetracomb

Related honeycombs

Шаблон:F4 honeycombs

See also

Regular and uniform honeycombs in 4-space:

References

  • Coxeter, H.S.M. Regular Polytopes, (3rd edition, 1973), Dover edition, Шаблон:ISBN 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, Шаблон:ISBN [1]
    • (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) Model 114
  • Шаблон:KlitzingPolytopes o3o3x4x3x - gricot - O114

Шаблон:Honeycombs