Grand ditetrahedronary cubidishecatonicosachoron
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| Grand ditetrahedronary cubidishecatonicosachoron | |
|---|---|
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gadtacady |
| Elements | |
| Cells | 120 gid, 600 cube, 120 qrid |
| Faces | 2400 triangles, 3600 squares, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Gadtaxady |
| Conjugate | Sidtacady |
| Abstract properties | |
| Euler characteristic | 3600 |
| Topological properties | |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The grand ditetrahedronary cubidishecatonicosachoron, or gadtacady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 600 cubes, and 120 quasirhombicosidodecahedra. Six great icosidodecahedra, eight cubes, and twelve quasirhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#876).
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