Small cubicuboctahedral prism
Jump to navigation Jump to search
|Small cubicuboctahedral prism|
|Bowers style acronym||Soccope|
|Coxeter diagram||x x4/3o3x4*b ()|
|Cells||8 triangular prisms, 6 cubes, 6 octagonal prisms, 2 small cubicuboctahedra|
|Faces||16 triangles, 12+24+24 squares, 12 octagons|
|Vertex figure||Crossed isosceles trapezoidal pyramid, edge lengths 1, √2+√2, √2, √2+√2 (base), √2 (legs)|
|Measures (edge length 1)|
|Dichoral angles||Socco–4–cube: 90°|
|Number of pieces||80|
|Dual||Small hexacronic icositetrahedral tegum|
|Conjugate||Great cubicuboctahedral prism|
|Symmetry||B3×A1, order 96|
The small cubicuboctahedral prism or soccope is a prismatic uniform polychoron that consists of 2 small cubicuboctahedra, 6 cubes, 8 triangular prisms, and 6 octagonal prisms. Each vertex joins 1 small cubicuboctahedron, 1 triangular prism, 1 cube, and 2 octagonal prisms. As the name suggests, it is a prism based on the small cubicuboctahedron.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small rhombicuboctahedral prism.
External links[edit | edit source]
- Bowers, Jonathan. "Category 19: Prisms" (#924).
- Klitzing, Richard. "soccope".