Small intercepted distetracontoctachoron
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| Small intercepted distetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Sandic |
| Elements | |
| Cells | 48 oct, 48 socco |
| Faces | 384 triangles, 144 squares, 144 octagons |
| Edges | 576 |
| Vertices | 144 |
| Edge figure | oct 3 socco 8 socco 4 socco 8 socco 3 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1968 |
| Level of complexity | 38 |
| Related polytopes | |
| Army | Spic |
| Regiment | Spic |
| Conjugate | Gamfaddic |
| Abstract & topological properties | |
| Euler characteristic | 144 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Wild |
The small intercepted distetracontoctachoron, or sandic, is a nonconvex uniform polychoron that consists of 48 octahedra and 48 small cubicuboctahedra. Two octahedra and eight small cubicuboctahedra 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" (#517).
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