Antifrustary tetracontoctachoron
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| Antifrustary tetracontoctachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Affic |
| Coxeter diagram | (x3x4x3x4*a4/3*c *b4/3*d)/2 |
| Elements | |
| Cells | 48 cuboctatruncated cuboctahedra |
| Faces | 192 hexagons, 144 octagons, 144 octagrams |
| Edges | 1152 |
| Vertices | 288 |
| Vertex figure | Compound of 2 rhombic disphenoids, edge lengths √3 (2), √2+√2 (2), and √2–√2 (2) |
| Measures (edge length 1) | |
| Circumradius | |
| Inradius | |
| Hypervolume | 60 |
| Dichoral angles | Cotco–8–cotco: 135º |
| Cotco–6–cotco: 60º | |
| Cotco–8/3–cotco: 45º | |
| Related polytopes | |
| Army | Cont |
| Regiment | Afdec |
| Conjugate | Antifrustary tetracontoctachoron |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | F4×2, order 2304 |
| Convex | No |
| Nature | Tame |
The antifrustary tetracontoctachoron, or affic, is a nonconvex noble fissary uniform polychoron that consists of 48 cuboctatruncated cuboctahedra as cells. 8 cells join at each vertex.
It is fissary because of vertices coinciding by 2, with a compound vertex figure.
External links[edit | edit source]
- Bowers, Jonathan. "Category 15: Afdec Regiment" (#F7).
- Klitzing, Richard. "affic".