Cishemiblended disnub triacontadiadisoctachoron
The cishemiblended disnub triacontadiadisoctachoron, or chebadestado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32+32 tetrahemihexahedra, 16 cuboctahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, six tetrahemihexahedra, two cuboctahedra, and four cubohemioctahedra join at each vertex.
|Cishemiblended disnub triacontadiadisoctachoron|
|Bowers style acronym||Chebadestado|
|Cells||8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32+32+32 tetrahemihexahedra, 16 cuboctahedra, 32 cubohemioctahedra|
|Faces||1312 triangles, 288 squares, 64 hexagons|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||D4+, order 96|
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 hexadecaocta-hemihexadecintercepted hemioctachora. In the process, some of the octahedron cells blend out.
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
The blend components and facet counts of the cishemiblended disnub triacontadiadisoctachoron are the same as those of three other idtessids, differing only in orientation. Those are the:
- Bowers, Jonathan. "Category 30: Idtessids" (#1889).
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