# Truncated icositetrachoric tetracomb

Truncated icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymTicot
Coxeter diagramx3x4o3o3o ()
Elements
Tera3N tesseracts, N truncated icositetrachora
Cells24N cubes, 12N truncated octahedra
Faces72N squares, 32N hexagons
Edges24N+96N
Vertices48N
Vertex figureTetrahedral pyramid, edge lengths 2 (base) and 3 (sides)
Related polytopes
ArmyTicot
RegimentTicot
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The truncated icositetrachoric tetracomb, or ticot, is a convex uniform tetracomb. 4 truncated icositetrachora and 1 tesseract join at each vertex of this tessellation. As the name suggests, it is the truncation of the icositetrachoric tetracomb.

## Vertex coordinates

The vertices of a truncated icositetrachoric tetracomb of edge length 1 are given by all permutations of:

• ${\displaystyle \left(3{\sqrt {2}}i,\,\pm {\frac {\sqrt {2}}{2}}+3{\sqrt {2}}j,\,\pm {\sqrt {2}}+3{\sqrt {2}}k,\,\pm {\frac {3{\sqrt {2}}}{2}}+3{\sqrt {2}}l\right)}$,

where i, j, k, and l range over the integers.

## Representations

A truncated icositetrachoric tetracomb has the following Coxeter diagrams: