Cisorthobiblended disnub disoctachoron
| Cisorthobiblended disnub disoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cobebadisdo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 64 tetrahemihexahedra, 16 cuboctahedra |
| Faces | 1120 triangles, 144 squares |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Transorthobiblended disnub disoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 160 |
| Orientable | No |
| Properties | |
| Symmetry | B4/2, order 192 |
| Convex | No |
The cisorthobiblended disnub disoctachoron, or cobebadisdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 64 tetrahemihexahedra, and 16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, six 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 inverticisbiblended disnub disoctachoron are the same as several other idtessids, differing in orientation and resultant facet counts. Those are the:
- Transorthobiblended disnub disoctachoron
- Orthocisbiblended disnub disoctachoron
- Orthotransbiblended disnub disoctachoron
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1861).
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