# Cubohemioctahedral prism

Cubohemioctahedral prism
Rank4
TypeUniform
Notation
Bowers style acronymChope
Coxeter diagram(x o4/3x3x4*b)/2 ()
Elements
Cells6 cubes, 4 hexagonal prisms, 2 cubohemioctahedra
Faces12+24 squares, 8 hexagons
Edges12+48
Vertices24
Vertex figureBowtie pyramid, edge lengths 2, 3 (base), 2 (legs)
Measures (edge length 1)
Circumradius${\displaystyle {\frac {\sqrt {5}}{2}}\approx 1.11803}$
Dichoral anglesCho–4–cube: 90°
Cho–6–hip: 90°
Cube–4–hip: ${\displaystyle \arccos \left({\frac {\sqrt {3}}{3}}\right)\approx 54.73561^{\circ }}$
Height1
Number of external pieces40
Related polytopes
ArmyCope
RegimentCope
DualHexahemioctacronic tegum
ConjugateNone
Abstract & topological properties
Flag count768
Euler characteristic–4
OrientableNo
Properties
SymmetryB3×A1, order 96
ConvexNo
NatureTame

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.