Английская Википедия:Cantitruncated tesseractic honeycomb

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Cantitruncated tesseractic honeycomb
(No image)
Type	Uniform 4-honeycomb
Schläfli symbol	tr{4,3,3,4} tr{4,3,31,1}
Coxeter-Dynkin diagram	Шаблон:CDD Шаблон:CDD
4-face type	t0,1,2{4,3,3} Файл:Cantitruncated tesseract stella4d.png t0,1{3,3,4} Файл:Schlegel half-solid truncated 16-cell.png {3,4}×{} Файл:Octahedral prism.png
Cell type	Truncated cuboctahedron Файл:Small rhombicuboctahedron.png Octahedron Файл:Octahedron.png Truncated tetrahedron Файл:Truncated tetrahedron.png Triangular prism Файл:Triangular prism.png
Face type	{3}, {4}, {6}
Vertex figure	Square double pyramid
Coxeter group	<math>{\tilde{C}}_4</math> = [4,3,3,4] <math>{\tilde{B}}_4</math> = [4,3,31,1]
Dual
Properties	vertex-transitive

In four-dimensional Euclidean geometry, the cantitruncated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space.

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

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, Шаблон:ISBN [1]
  • (Paper 24) H.S.M. Coxeter, Regular and Semi-Regular Polytopes III, [Math. Zeit. 200 (1988) 3-45] See p318 [2]
• George Olshevsky, Uniform Panoploid Tetracombs, Manuscript (2006) (Complete list of 11 convex uniform tilings, 28 convex uniform honeycombs, and 143 convex uniform tetracombs)
• Шаблон:KlitzingPolytopes o3x3o *b3x4x, x4x3x3o4o - grittit - O94
• Шаблон:Cite book