Small rhombihexahedral prism
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.
|Small rhombihexahedral prism|
|Bowers style acronym||Srohp|
|Cells||12 cubes, 6 octagonal prisms, 2 small rhombihexahedra|
|Faces||24+24+24 squares, 12 octagons|
|Vertex figure||Butterfly pyramid, edge lengths √2, √2+√2, √2, √2+√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Sroh–4–cube: 90°|
|Cube–4–op #1: 90°|
|Cube–4–op #2: 45°|
|Number of external pieces||92|
|Dual||Small rhombihexacronic tegum|
|Conjugate||Great rhombihexahedral prism|
|Abstract & topological properties|
|Symmetry||B3×A1, order 96|
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.
Its vertices are the same as those of its regiment colonel, the small rhombicuboctahedral prism.
- Bowers, Jonathan. "Category 19: Prisms" (#925).