Rectified faceted hexacosichoron
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| Rectified faceted hexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Rofix |
| Coxeter diagram | o5/2o5x3o (      ) |
| Elements | |
| Cells | 120 great dodecahedra, 120 icosidodecahedra |
| Faces | 1200 triangles, 1440 pentagons |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | Semi-uniform pentagrammic prism, edge lengths (1+√5)/2 (base) and 1 (side) |
| Edge figure | gad.id.id |
| Measures (edge length 1) | |
| Circumradius | |
| Hypervolume | |
| Dichoral angles | Gad–5–id: 144° |
| Id–3–id: 120° | |
| Central density | 4 |
| Number of external pieces | 2520 |
| Level of complexity | 11 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rox |
| Conjugate | Rectified great faceted hexacosichoron |
| Convex core | Hecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | –480 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The rectified faceted hexacosichoron, or rofix, is a nonconvex uniform polychoron that consists of 120 great dodecahedra and 120 icosidodecahedra. Two great dodecahedra and five icosidodecahedra join at each pentagrammic prismatic vertex. As the name suggests, it can be obtained by rectifying the faceted hexacosichoron.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#74).
- Klitzing, Richard. "rofix".