Snub hexecontatetrasnub dishexadecachoron
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| Snub hexecontatetrasnub dishexadecachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Siggisdah |
| Elements | |
| Cells | 16 great icosahedra, 16 icosahedra, 192 tetrahedra, 64 octahedra |
| Faces | 960 triangles |
| Edges | 288+384+96+48 |
| Vertices | 96 |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Hypervolume | 0 |
| Related polytopes | |
| Army | Sadi |
| Regiment | Disdi |
| Conjugate | Snub hexecontatetrasnub dishexadecachoron |
| Abstract & topological properties | |
| Euler characteristic | –48 |
| Orientable | Yes |
| Properties | |
| Symmetry | B4/2, order 192 |
| Convex | No |
The snub hexecontatetrasnub dishexadecachoron, or siggisdah, is a nonconvex uniform polychoron that consists of 16 great icosahedra, 16 icosahedra, 192 tetrahedra, and 64 octahedra. Two great icosahedra, two icosahedra, eight tetrahedra, and four octahedra join at each vertex.
It can be obtained as the blend of a snub hexecontatetrasnub-snub disoctachoron and a retroantiprismatosnub disicositetrachoron. In the process, all the cells of the former blend out, except for the tetrahedra and 64 of the octahedra.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the disnub disicositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 30: Idtessids" (#2099).
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