Cishemiblended disnub triacontadiadisoctachoron
|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|
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.
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.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
Related polychora[edit | edit source]
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:
- hemicisblended disnub triacontadiadisoctachoron,
- hemitransblended disnub triacontadiadisoctachoron,
- transhemiblended disnub triacontadiadisoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1889).
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