Transorthoblended disnub triacontadiadisoctachoron
| Transorthoblended disnub triacontadiadisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Tobidastado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, 16 cuboctahedra |
| Faces | 1184 triangles, 96 squares |
| 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 | 176 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
The transorthoblended disnub triacontadiadisoctachoron, or tobidastado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+32 octahedra, 32 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, eight octahedra, two tetrahemihexahedra, and two cuboctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 4 rectified tesseractihemioctachora. 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 transorthoblended disnub triacontadiadisoctachoron are the same as those of the cisorthoblended disnub triacontadiadisoctachoron, differing only in orientation.
There are two other idtessids that it shares blend components with, but that have different facet counts. Those are the:
- orthocisblended disnub triacontadiadisoctachoron,
- orthotransblended disnub triacontadiadisoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1878).
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