Orthocisbiblended disnub disoctachoron
| Orthocisbiblended disnub disoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Ocbibadesdo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, 16 cuboctahedra |
| Faces | 1376 triangles, 144 squares |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Orthotransbiblended disnub disoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 352 |
| Orientable | No |
| Properties | |
| Symmetry | B4/2, order 192 |
| Convex | No |
The orthocisbiblended disnub disoctachoron, or ocbibadesdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64 octahedra, 64 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, ten octahedra, four tetrahemihexahedra, and two cuboctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 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 of the orthocisbiblended disnub disoctachoron are the same as several other idtessids, differing in orientation and resultant facet counts. Those are the:
- Cisorthobiblended disnub disoctachoron
- Transorthobiblended disnub disoctachoron
- Orthotransbiblended disnub disoctachoron
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1863).
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