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Stericantitruncated 16-cell honeycomb

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In four-dimensional Euclidean geometry, the stericantitruncated 16-cell honeycomb is a uniform space-filling honeycomb.

Stericantitruncated 16-cell honeycomb
(No image)
TypeUniform 4-honeycomb
Schläfli symbolt0,1,2,4{3,3,4,3}
s2,3,4{3,4,3,3}
Coxeter-Dynkin diagrams
4-face type

t0,1,2{3,3,4}
t0,1,3{4,3,3}
t0,1,2{4,3}x{}
t1{4,3}x{} {3}x{6}

Cell type
Face type
Vertex figure
Coxeter groups, [3,4,3,3]
PropertiesVertex transitive
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Alternate names

  • Great cellirhombated icositetrachoric tetracomb (gicaricot)
  • Runcicantic hexadecachoric tetracomb

The [3,4,3,3], , Coxeter group generates 31 permutations of uniform tessellations, 28 are unique in this family and ten are shared in the [4,3,3,4] and [4,3,31,1] families. The alternation (13) is also repeated in other families.

More information F4 honeycombs, Extendedsymmetry ...
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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
    • (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 121 (Wrongly named runcinated icositetrachoric honeycomb)
  • Klitzing, Richard. "4D Euclidean tesselations". x3x3x4o3x - gicaricot - O130
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