Great rhombihexahedral prism
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|Great rhombihexahedral prism|
|Bowers style acronym||Grohp|
|Cells||12 cubes, 6 octagrammic prisms, 2 great rhombihexahedra|
|Faces||24+24+24 squares, 12 octagrams|
|Vertex figure||Butterfly pyramid, edge lengths √2, √2–√2, √2, √2–√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Groh–4–cube: 90°|
|Cube–4–stop #1: 90°|
|Cube–4–stop #2: 45°|
|Number of pieces||200|
|Dual||Great rhombihexacronic tegum|
|Conjugate||Small rhombihexahedral prism|
|Symmetry||B3×A1, order 96|
The great rhombihexahedral prism or grohp is a prismatic uniform polychoron that consists of 2 great rhombihexahedra, 12 cubes, and 6 octagrammic prisms. Each vertex joins 1 great rhombihexahedron, 2 cubes, and 2 octagrammic prisms. As the name suggests, it is a prism based on the great rhombihexahedron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great cubicuboctahedral prism.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#934).
- Klitzing, Richard. "grohp".