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Runcicantellated 24-cell honeycomb
(No image)
Type Uniform 4-honeycomb
Schläfli symbols t0,2,3{3,4,3,3}
s2,3{3,4,3,3}
Coxeter diagrams Template:CDD
Template:CDD
4-face type t0,1,3{3,3,4}

2t{3,3,4}
{3}x{3}
t{3,3}x{}

Cell type
Face type
Vertex figure
Coxeter groups , [3,4,3,3]
Properties Vertex transitive

In four-dimensional Euclidean geometry, the runcicantellated 24-cell honeycomb is a uniform space-filling honeycomb.

Alternate names

  • Runcicantellated icositetrachoric tetracomb/honeycomb
  • Prismatorhombated icositetrachoric tetracomb (pricot)
  • Great diprismatodisicositetrachoric 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) Model 118
  • Template:KlitzingPolytopes o3x3x4o3x - pricot - O118

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