Invertitranshemiblended disnub triacontadiadisoctachoron
| Invertitranshemiblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Ithabed stedo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 cuboctahedra, 16+16 octahemioctahedra |
| Faces | 1312 triangles, 96 squares, 64 hexagons |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | None |
| Abstract & topological properties | |
| Euler characteristic | 336 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The invertitranshemiblended disnub triacontadiadisoctachoron, or ithabed stedo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 cuboctahedra, and 16+16 octahemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, two tetrahemihexahedra, two cuboctahedra, and four octahemioctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 disocta-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 invertitranshemiblended disnub triacontadiadisoctachoron are the same as those of the inverticishemiblended disnub triacontadiadisoctachoron, differing only in orientation.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1894).
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