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|Bowers style acronym||Sroh|
|Faces||12 squares, 6 octagons|
|Vertex figure||Butterfly, edge lengths √2 and √2+√2 |
|Measures (edge length 1)|
|Dihedral angles||8–4 #1: 90°|
|8–4 #2: 45°|
|Number of external pieces||66|
|Level of complexity||10|
|Abstract & topological properties|
|Symmetry||B3, order 48|
The small rhombihexahedron, or sroh, is a uniform polyhedron. It consists of 12 squares and 6 octagons. Two squares and two octagons meet at each vertex. It also has 8 triangular pseudofaces and 6 square pseudofaces.
It is a faceting of the small rhombicuboctahedron, using 12 of its squares, along with the 6 octagons of the small cubicuboctahedron.
It can be constructed as a blend of three orthogonal octagonal prisms, with 6 pairs of coinciding square faces blending out.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rhombicuboctahedron.
Related polyhedra[edit | edit source]
The rhombisnub hyperhombihedron is a uniform polyhedron compound composed of 5 small rhombihexahedra.
External links[edit | edit source]
- Bowers, Jonathan. "Polyhedron Category 4: Trapeziverts" (#38).
- Klitzing, Richard. "sroh".
- Wikipedia Contributors. "Small rhombihexahedron".
- McCooey, David. "Small Rhombihexahedron"