Small rhombihexahedral prism

Small rhombihexahedral prism
	(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Srohp
Elements
Cells	12 cubes, 6 octagonal prisms, 2 small rhombihexahedra
Faces	24+24+24 squares, 12 octagons
Edges	24+48+48
Vertices	48
Vertex figure	Butterfly pyramid, edge lengths √2, √2+√2, √2, √2+√2 (base), √2 (legs)
Measures (edge length 1)
Circumradius
Dichoral angles	Sroh–4–cube: 90°
	Sroh–8–op: 90°
	Cube–4–op #1: 90°
	Cube–4–op #2: 45°
Height	1
Number of external pieces	92
Related polytopes
Army	Sircope
Regiment	Sircope
Dual	Small rhombihexacronic tegum
Conjugate	Great rhombihexahedral prism
Abstract & topological properties
Euler characteristic	–8
Orientable	No
Properties
Symmetry	B3×A1, order 96
Convex	No
Nature	Tame

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[edit | edit source]

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