Great retrofrustary hexacositrishecatonicosachoron
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Great retrofrustary hexacositrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Girfixthi |
Coxeter diagram | x3o5/2x5o3/2*a3*c |
Elements | |
Cells | 600 octahedra, 120 dodecadodecahedra, 120 great icosicosidodecahedra, 120 small icosicosidodecahedra |
Faces | 2400+2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
Edges | 7200+7200 |
Vertices | 3600 |
Vertex figure | Semicrossed rectangular frustum, edge lengths 1 (top square), (1+√5)/2 and (√5–1)/2 (base rectangle), and √3 (sides) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | 2475 |
Dichoral angles | Did–5–giid: 144° |
Oct–3–siid: | |
Did–5/2–siid: 108° | |
Giid–6–siid: 60° | |
Oct–3–giid: | |
Related polytopes | |
Army | Semi-uniform Xhi, edge lengths (pentagons), (triangles) |
Regiment | Affixthi |
Conjugate | Great retrofrustary hexacositrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 172800 |
Euler characteristic | –1680 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great retrofrustary hexacositrishecatonicosachoron, or girfixthi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 dodecadodecahedra, 120 great icosicosidodecahedra, and 120 small icosicosidodecahedra. 1 octahedron, 1 dodecadodecahedron, 2 great icosicosidodecahedra, and 2 small icosicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 16: Affixthi Regiment" (#673).
- Klitzing, Richard. "girfixthi".