Cisinvertiblended disnub triacontadiadisoctachoron
The cisinvertiblended disnub triacontadiadisoctachoron, or cibe destido, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, and 32 octahemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, and four octahemioctahedra join at each vertex.
| Cisinvertiblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cibe destido |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32+32 octahedra, 32 octahemioctahedra |
| Faces | 1312 triangles, 64 hexagons |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Transinvertiblended disnub triacontadiadisoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 256 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 small hexadecahemihexadecachora. In the process, some of the octahedron cells blend out.
Vertex coordinatesEdit
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
Related polychoraEdit
The blend components and facet counts of the cisinvertiblended disnub triacontadiadisoctachoron are the same as those of the transinvertiblended disnub triacontadiadisoctachoron, differing only in orientation.
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1867).
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