Bitruncated hexadecachoric tetracomb

Bitruncated hexadecachoric tetracomb
Rank	5
Type	Uniform
Space	Euclidean
Notation
Bowers style acronym	Bithit
Coxeter diagram	o3o4x3x3o ()
Elements
Tera	3N tesseractihexadecachora, N truncated icositetrachora
Cells	12N cubes, 24N truncated tetrahedra, 24N truncated octahedra
Faces	32N triangles, 72N squares, 96N hexagons
Edges	96N+144N
Vertices	96N
Vertex figure	Triangular scalene, edge lengths √2 (base triangle), 1 (top edge), and √3 (sides)
Related polytopes
Army	Bithit
Regiment	Bithit
Conjugate	None
Abstract & topological properties
Orientable	Yes
Properties
Symmetry	U5
Convex	Yes

The bitruncated hexadecachoric tetracomb, or bithit, is a convex uniform tetracomb. 3 tesseractihexadecachora and 2 truncated icositetrachora join at each vertex of this tessellation. As the name suggests, it is the bitruncation of the hexadecachoric tetracomb.

Representations

A bitruncated hexadecachoric tetracomb has the following Coxeter diagrams:

• o3o4x3x3o (full symmetry)
• x3x3o *b3x4o (demitesseractic tetracomb symmetry)
• x3x3x *b3x *b3o (quartertesseractic tetracomb symmetry)

External links

• Klitzing, Richard. "bithit".

• Wikipedia Contributors. "Bitruncated 16-cell honeycomb".