Twist (mathematics)

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Runcicantitruncated 4-simplex honeycomb
(No image)
Type Uniform 4-honeycomb
Schläfli symbol t0,1,2,3{3[5]}
Coxeter–Dynkin diagram Template:CDD
4-face types t0,1,3{33}
Cell types Cuboctahedron

Truncated octahedron
Truncated tetrahedron
Hexagonal prism
Triangular prism

Vertex figure tilted rectangular duopyramid
Symmetry ×2, [[3[5]]]
Properties vertex-transitive

In four-dimensional Euclidean geometry, the runcicantitruncated 4-simplex honeycomb or runcicantitruncated 5-cell honeycomb is a space-filling tessellation honeycomb.

Alternate names

  • Great cycloprismated pentachoric tetracomb
  • Grand prismatodispentachoric tetracomb

Related polytopes and honeycombs

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See also

Regular and uniform honeycombs in 4-space:


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  • Norman Johnson Uniform Polytopes, Manuscript (1991)
  • 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 22) H.S.M. Coxeter, Regular and Semi Regular Polytopes I, [Math. Zeit. 46 (1940) 380-407, MR 2,10] (1.9 Uniform space-fillings)
    • (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 139
  • Template:KlitzingPolytopes x3x3x3x3o3*a - gocypapit - O139

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