Cube atop small rhombicuboctahedron
|Cube atop small rhombicuboctahedron|
|Bowers style acronym||Cubasirco|
|Cells||8 tetrahedra, 12 triangular prisms, 1+6 cubes, 1 small rhombicuboctahedron|
|Faces||8+24 triangles, 6+6+12+24 squares|
|Vertex figures||8 triangular antipodiums, edge lengths 1 (base 1) and √2 (base 2 and sides)|
|24 isosceles trapezoidal pyramids, base edge lengths 1, √2, √2, √2, side edge lengths 1, 1, √2. √2|
|Measures (edge length 1)|
|Dichoral angles||Tet–3–trip: 150°|
|Dual||Octahedral-deltoidal icositetrahedral tegmoid|
|Conjugate||Cube atop quasirhombicuboctahedron|
|Abstract & topological properties|
|Symmetry||B3×I, order 48|
The cube atop small rhombicuboctahedron, or cubasirco, is a CRF segmentochoron (designated K-4.71 on Richard Klitzing's list). As the name suggests, it consists of a cube and a small rhombicuboctahedron as bases, connected by 8 tetrahedra, 12 triangular prisms, and 6 further cubes.
It is also sometimes referred to as a cubic cupola, as one generalization of the definition of a cupola is to have a polytope atop an expanded version.
A small disprismatotesseractihexadecachoron can be formed by attaching cube atop small rhombicuboctahedron segmentochora to the bases of the small rhombicuboctahedral prism.
Segmentochoron display[edit | edit source]
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a cube atop small rhombicuboctahedron of edge length 1 are given by:
along with all permutations of the first three coordinates of:
External links[edit | edit source]
- Klitzing, Richard. "cubasirco".
- Wikipedia Contributors. "Cubic cupola".