Cistransorthobiblended disnub disoctachoron
The cistransorthobiblended disnub disoctachoron, or citobib desdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 32+32 tetrahemihexahedra, and 16+16 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, six octahedra, four tetrahemihexahedra, and four cuboctahedra join at each vertex.
| Cistransorthobiblended disnub disoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Citobib desdo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 32+32 tetrahemihexahedra, 16+16 cuboctahedra |
| Faces | 1184 triangles, 192 squares |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Cistransorthobiblended disnub disoctachoron |
| 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 8 rectified tesseractihemioctachora. 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
There are other idtessids that it shares blend components with, but that have different facet counts. The first of a similar group of these is the cisorthocisbiblended disnub disoctachoron, and another is the orthocistransbiblended disnub disoctachoron.
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1896).
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