Truncated 8-simplex honeycomb

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quarter 6-cubic honeycomb
(No image)
Type Uniform 6-honeycomb
Family Quarter hypercubic honeycomb
Schläfli symbol q{4,3,3,3,3,4}
Coxeter-Dynkin diagram Template:CDD = Template:CDD
5-face type h{4,34},
h4{4,34},
{3,3}×{3,3} duoprism
Vertex figure
Coxeter group ×2 = [[31,1,3,3,31,1]]
Dual
Properties vertex-transitive

In six-dimensional Euclidean geometry, the quarter 6-cubic honeycomb is a uniform space-filling tessellation (or honeycomb). It has half the vertices of the 6-demicubic honeycomb, and a quarter of the vertices of a 6-cube honeycomb.[1] Its facets are 6-demicubes, stericated 6-demicubes, and {3,3}×{3,3} duoprisms.

Related honeycombs

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See also

Regular and uniform honeycombs in 5-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]
  • Template:KlitzingPolytopes

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  1. Coxeter, Regular and Semi-Regular Polytopes III, (1988), p318