Small distetracontoctachoron
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| Small distetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Siddic |
| Coxeter diagram | o3x4x3o4/3*a (     ) |
| Elements | |
| Cells | 48 octahedra, 48 truncated cubes |
| Faces | 384 triangles, 144 octagons |
| Edges | 576 |
| Vertices | 144 |
| Vertex figure | Square retroprism, edge lengths 1 (base) and √2+√2 (sides) |
| Edge figure | (oct 3 tic 8 tic 8 tic 3) |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Dichoral angles | Oct–3–tic: 60° |
| Tic–8–tic: 45° | |
| Number of external pieces | 9072 |
| Level of complexity | 137 |
| Related polytopes | |
| Army | Spic |
| Regiment | Spic |
| Conjugate | Great distetracontoctachoron |
| Abstract & topological properties | |
| Euler characteristic | 0 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Tame |
The small distetracontoctachoron, or siddic, is a nonconvex uniform polychoron that consists of 48 regular octahedra and 48 truncated cubes. 2 octahedra and 8 truncated cubes join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 13: Spic and Giddic Regiments" (#513).
- Klitzing, Richard. "siddic".