Runcitruncated 5-cell honeycomb

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Runcinated tesseractic honeycomb
(No image)
Type Uniform 4-honeycomb
Schläfli symbol t0,3{4,3,3,4}
Coxeter-Dynkin diagram Template:CDD
Template:CDD
4-face type runcinated tesseract
tesseract
rectified tesseract
cuboctahedral prism
Cell type Cuboctahedron
Tetrahedron
Cube
Triangular prism
Face type {3}, {4}
Vertex figure triangular-antipodial antifastigium
Coxeter group C~4 = [4,3,3,4]
B~4 = [4,3,31,1]
Dual
Properties vertex-transitive

In four-dimensional Euclidean geometry, the runcinated tesseractic honeycomb is a uniform space-filling tessellation (or honeycomb) in Euclidean 4-space. It is constructed by a runcination of a tesseractic honeycomb creating runcinated tesseracts, and new tesseract, rectified tesseract and cuboctahedral prism facets.

Related honeycombs

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See also

Regular and uniform honeycombs in 4-space:

Notes

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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 [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)
  • Template:KlitzingPolytopes x3o3x *b3o4x, x4o3o3x4o - sidpitit - O91
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