Cohn-Vossen's inequality

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Steriruncitruncated tesseractic honeycomb
(No image)
Type Uniform honeycomb
Schläfli symbol t0,1,3,4{4,3,3,4}
Coxeter-Dynkin diagrams Template:CDD
4-face type Runcitruncated tesseract
truncated cubic prism
8-8 duoprism
Cell type Cuboctahedron
Truncated cube
Triangular prism
Octagonal prism
Face type {3}, {4}, {8}
Vertex figure Antialigned rectangular double pyramid
Coxeter groups ×2, [[4,3,3,4]]
Properties Vertex transitive

In four-dimensional Euclidean geometry, the steriruncitruncated tesseractic honeycomb is a uniform space-filling honeycomb.

Alternate names

  • Celliprismatotruncated tesseractic tetracomb
  • Great tomocubic-diprismatotesseractic tetracomb

Related honeycombs

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See also

Regular and uniform honeycombs in 4-space:

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 [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)
  • Template:KlitzingPolytopes x4x3o3x4x - captatit - O102

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