Great hecatonicosafaceted hexacosidishecatonicosachoron
(Redirected from Gohi fixady)
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| Great hecatonicosafaceted hexacosidishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gohi fixady |
| Elements | |
| Cells | 600 tetrahedra, 120 truncated icosahedra, 120 great icosicosidodecahedra |
| Faces | 2400 triangles, 1440 pentagons, 2400 hexagons |
| Edges | 3600+3600 |
| Vertices | 2400 |
| Vertex figure | Triangular hemipodium, edge lengths 1 (top triangle), (1+√5)/2 (base pseudo-triangle), and √3 (sides) |
| Measures (edge length 1) | |
| Circumradius | |
| Dichoral angles | Giid–3–tet: |
| Giid–6–ti: 120° | |
| Giid–5–ti: 36° | |
| Number of external pieces | 112560 |
| Level of complexity | 373 |
| Related polytopes | |
| Army | Thi |
| Regiment | Gidthixhi |
| Conjugate | Small hecatonicosafaceted hexacosidishecatonicosachoron |
| Abstract & topological properties | |
| Euler characteristic | 600 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Tame |
The great hecatonicosafaceted hexacosidishecatonicosachoron, or gohi fixady, is a nonconvex uniform polychoron that consists of 120 great icosicosidodecahedra, 600 tetrahedra, and 120 truncated icosahedra. Three great icosicosidodecahedra, one tetrahedron, and three truncated icosahedra join at each vertex.
It also has 120 dodecahedra and 600 truncated tetrahedra as pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great ditrigonal hecatonicosihexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 12: Podiumverts" (#495).