Cisinvertiblended disnub hexecontatetradisoctachoron
The cisinvertiblended disnub hexecontatetradisoctachoron, or cibed segado, is a nonconvex uniform polychoron that consists of 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64+32 octahedra, and 32 octahemioctahedra. One great icosahedron, one icosahedron, eight tetrahedra, twelve octahedra, and four octahemioctahedra join at each vertex.
| Cisinvertiblended disnub hexecontatetradisoctachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Cibed segado |
| Elements | |
| Cells | 8 great icosahedra, 8 icosahedra, 192 tetrahedra, 96+64+32 octahedra, 32 octahemioctahedra |
| Faces | 1440 triangles, 64 hexagons |
| 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 | 352 |
| Orientable | No |
| Properties | |
| Symmetry | D4+, order 96 |
| Convex | No |
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron, 4 icositetrachora, and 4 small hexadecahemihexadecachora. 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
The blend components and facet counts of the cisinvertiblended disnub hexecontatetradisoctachoron are the same as those of the transinvertiblended disnub hexecontatetradisoctachoron, differing only in orientation.
External linksEdit
- Bowers, Jonathan. "Category 30: Idtessids" (#1903).
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