Birectified icositetrachoric tetracomb

Birectified icositetrachoric tetracomb
Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Bricot
Coxeter diagram	o3o4x3o3o ()
Elements
Tera	3N rectified tesseracts, N rectified icositetrachora
Cells	24N tetrahedra, 12N cubes, 24N cuboctahedra
Faces	96N triangles, 72N squares
Edges	144N
Vertices	32N
Vertex figure	Triangular-triangular duoprism, edge lengths 1 and √2
Related polytopes
Army	Bricot
Regiment	Bricot
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U5
Convex	Yes

The birectified icositetrachoric tetracomb, or bricot, is a convex uniform tetracomb. 3 rectified icositetrachora and 3 rectified tesseracts join at each vertex of this tessellation. As the name suggests, it is the birectification of the icositetrachoric tetracomb, or equivalently birectification of the dual hexadecachoric tetracomb.

Representations

A birectified icositetrachoric tetracomb has the following Coxeter diagrams:

• o3o4x3o3o (full symmetry)
• x3o3o *b3x4o (demitesseractic tetracomb symmetry)
• x3o3x *b3x *b3o (quartertesseractic tetracomb symmetry)

External links

• Klitzing, Richard. "bricot".

• Wikipedia Contributors. "Birectified 24-cell honeycomb".