Faceted rectified great faceted hexacosichoron
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| Faceted rectified great faceted hexacosichoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Frogfix |
| Elements | |
| Cells | 600 oct, 120 quit gissid |
| Faces | 3600 triangles, 720 decagrams |
| Edges | 3600 |
| Vertices | 720 |
| Vertex figure | Pentagrammic toroprism |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 569040 |
| Level of complexity | 1470 |
| Related polytopes | |
| Army | Rox |
| Regiment | Rigfix |
| Conjugate | Rixhi |
| Convex core | Hexacosichoron |
| Abstract & topological properties | |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The faceted rectified great faceted hexacosichoron, or frogfix, is a nonconvex uniform polychoron that consists of 600 octahedra and 120 quasitruncated great stellated dodecahedra. Five octahedra and ten quasitruncated great stellated dodecahedra join at each vertex.
It also has great icosahedra and great icosihemidodecahedra as pseudofacets.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#122).
- Klitzing, Richard. "frogfix".