Rectified icositetrachoric tetracomb

From Polytope Wiki
Jump to navigation Jump to search
Rectified icositetrachoric tetracomb
Rank5
TypeUniform
SpaceEuclidean
Notation
Bowers style acronymRicot
Coxeter diagramo3x4o3o3o ()
Elements
Tera3N tesseracts, N rectified icositetrachora
Cells24N cubes, 12N cuboctahedra
Faces32N triangles, 72N squares
Edges96N
Vertices24N
Vertex figureTetrahedral prism, edge lengths 2 (base) and 1 (side)
Related polytopes
ArmyRicot
RegimentRicot
ConjugateNone
Abstract & topological properties
OrientableYes
Properties
SymmetryU5
ConvexYes
NatureTame

The rectified icositetrachoric tetracomb, or ricot, is a convex uniform tetracomb. 4 rectified icositetrachora and 2 tesseracts join at each vertex of this tessellation. As the name suggests, it is the rectification of the icositetrachoric tetracomb.

Vertex coordinates[edit | edit source]

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

  • ,

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

Representations[edit | edit source]

A rectified icositetrachoric tetracomb has the following Coxeter diagrams:

External links[edit | edit source]