Cisblended disnub triacontadiadisoctachoron
The cisblended disnub triacontadiadisoctachoron, or cibdestido, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 64 tetrahemihexahedra, and 32 cubohemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, four tetrahemihexahedra, and four cubohemioctahedra join at each vertex.
|Cisblended disnub triacontadiadisoctachoron|
|Bowers style acronym||Cibdestido|
|Cells||8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 64 tetrahemihexahedra, 32 cubohemioctahedra|
|Faces||1184 triangles, 192 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 hexadecaoctahemihexadecachora. 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 cisblended disnub triacontadiadisoctachoron are the same as those of two other idtessids, differing only in orientation. Those are the:
- Bowers, Jonathan. "Category 30: Idtessids" (#1872).
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