# Small rhombihexahedral prism

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Small rhombihexahedral prism
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymSrohp
Elements
Cells12 cubes, 6 octagonal prisms, 2 small rhombihexahedra
Faces24+24+24 squares, 12 octagons
Edges24+48+48
Vertices48
Vertex figureButterfly pyramid, edge lengths 2, 2+2, 2, 2+2 (base), 2 (legs)
Measures (edge length 1)
Circumradius${\displaystyle \sqrt{\frac{3+\sqrt2}{2}} ≈ 1.48563}$
Dichoral anglesSroh–4–cube: 90°
Sroh–8–op: 90°
Cube–4–op #1: 90°
Cube–4–op #2: 45°
Height1
Number of pieces92
Related polytopes
ArmySircope
RegimentSircope
DualSmall rhombihexacronic tegum
ConjugateGreat rhombihexahedral prism
Abstract properties
Euler characteristic–8
Topological properties
OrientableNo
Properties
SymmetryB3×A1, order 96
ConvexNo
NatureTame
Discovered by{{{discoverer}}}

The small rhombihexahedral prism or srohp is a prismatic uniform polychoron that consists of 2 small rhombihexahedra, 12 cubes, and 6 octagonal prisms. Each vertex joins 1 small rhombihexahedron, 2 cubes, and 2 octagonal prisms. As the name suggests, it is a prism based on the small rhombihexahedron.

Its vertex figure matches that of the chasmic cuboctachoron; while the equilateral triangles still correspond to cubes, the butterfly and isosceles triangles now correspond to the blend of 2 octagonal prisms' vertex figures.

## Vertex coordinates

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