Inverticisbiblended disnub disoctachoron
| Inverticisbiblended disnub disoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Icbibadisdo |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 64+64 tetrahemihexahedra, 32+32 cuboctahedra |
| Faces | 3×64+3×96+5×192 triangles, 2×192 squares |
| Edges | 48+96+96+192+192+192 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Invertitransbiblended disnub disoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 416 |
| Orientable | No |
| Properties | |
| Symmetry | B4/2, order 192 |
| Convex | No |
The inverticisbiblended disnub disoctachoron, or icbibadisdo, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96 octahedra, 64+64 tetrahemihexahedra, and 32+32 cuboctahedra. One great icosahedron, one icosahedron, eight tetrahedra, six octahedra, eight tetrahemihexahedra, and eight cuboctahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and 8 great hexadecahemihexadecachora. In the process, some of the octahedron and tetrahemihexahedron 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 those of the invertitransbiblended disnub disoctachoron, differing only in orientation.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#1859).
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