Antifrustary trisicositetrachoron
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| Antifrustary trisicositetrachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Afti |
| Elements | |
| Cells | 24 gocco, 24 groh, 24 sirco |
| Faces | 192 triangles, 432 squares, 144 octagrams |
| Edges | 576+576 |
| Vertices | 288 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Cont |
| Regiment | Afdec |
| Conjugate | Rifti |
| Abstract properties | |
| Euler characteristic | –168 |
| Topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | F4, order 1152 |
| Convex | No |
| Nature | Tame |
The antifrustary trisicositetrachoron, or afti, is a nonconvex uniform polychoron that consists of 24 great cubicuboctahedra, 24 great rhombihexahedra, and 24 small rhombicuboctahedra. Two great cubicuboctahedra, two great rhombihexahedra, and two small rhombicuboctahedra join at each vertex.
It can be constructed as a blend of three small skewverted prismatohexadecadisoctachora.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antifrustary distetracontoctachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 15: Afdec Regiment" (#620).
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