Cubohemioctahedral prism

Cubohemioctahedral prism
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Chope
Coxeter diagram	(x o4/3x3x4*b)/2 ()
Elements
Cells	6 cubes, 4 hexagonal prisms, 2 cubohemioctahedra
Faces	12+24 squares, 8 hexagons
Edges	12+48
Vertices	24
Vertex figure	Bowtie pyramid, edge lengths √2, √3 (base), √2 (legs)
Measures (edge length 1)
Circumradius	$\frac{\sqrt5}{2} ≈ 1.11803$
Dichoral angles	Cho–4–cube: 90°
	Cho–6–hip: 90°
	Cube–4–hip: $\arccos\left(\frac{\sqrt3}{3}\right) ≈ 54.73561^\circ$
Height	1
Number of pieces	40
Related polytopes
Army	Cope
Regiment	Cope
Dual	Hexahemioctacronic tegum
Conjugate	None
Abstract properties
Euler characteristic	–4
Topological properties
Orientable	No
Properties
Symmetry	B3×A1, order 96
Convex	No
Nature	Tame
Discovered by	{{{discoverer}}}

The cubohemioctahedral prism or chope is a prismatic uniform polychoron that consists of 2 cubohemioctahedra, 6 cubes, and 4 hexagonal prisms. Each vertex joins 1 cubohemioctahedron, 2 cubes, and 2 hexagonal prisms. As the name suggests, it is a prism based on the cubohemioctahedron.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the cuboctahedral prism.

External links

• Bowers, Jonathan. "Category 19: Prisms" (#910).

• Klitzing, Richard. "chope".