Truncated hexadecachoric tetracomb

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Truncated hexadecachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymThext
Coxeter diagramo3o4o3x3x ()
Elements
TeraN icositetrachora, 3N truncated hexadecachora
Cells24N octahedra, 24N truncated tetrahedra
Faces96N triangles, 32N hexagons
Edges12N+96N
Vertices24N
Vertex figureCubic pyramid, edge lengths 1 (base) and 2 (sides)
Related polytopes
ArmyThext
RegimentThext
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The truncated hexadecachoric tetracomb, or thext, is a convex uniform tetracomb. 6 truncated hexadecachora and 1 icositetrachoron join at each vertex of this tessellation. As the name suggests, it is the truncation of the hexadecachoric tetracomb.

Representations[edit | edit source]

A truncated hexadecachoric tetracomb has the following Coxeter diagrams:

  • o3o4o3x3x () (full symmetry)
  • x3x3o4o *b3o () (S5 symmetry)
  • x3x3o *b3o *b3o () (Q5 symmetry)

External links[edit | edit source]