Small circumfacetodistetracontoctachoron
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| Small circumfacetodistetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Smiffadic |
| Elements | |
| Cells | 48 oct, 48 sirco |
| Faces | 384 triangles, 432 squares |
| Edges | 576 |
| Vertices | 144 |
| Edge figure | (oct 3 sirco 4 sirco 4 sirco 4 sirco 3) |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 1008 |
| Level of complexity | 14 |
| Related polytopes | |
| Army | Spic |
| Regiment | Spic |
| Conjugate | Gandic |
| Abstract & topological properties | |
| Euler characteristic | 288 |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Wild |
The small circumfacetodistetracontoctachoron, or smiffadic, is a nonconvex uniform polychoron that consists of 48 octahedra and 48 small rhombicuboctahedra. Two octahedra and eight small rhombicuboctahedra join at each vertex.
It also has triangular prisms as pseudofacets.
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" (#515).
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