Great diretroditetrahedronary prismatodishecatonicosachoron
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| Great diretroditetrahedronary prismatodishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Gidard tipady |
| Elements | |
| Cells | 120 doe, 720 stip, 120 raded |
| Faces | 3600 squares, 1440 pentagons, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Diretroditetrahedronary prismatodishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 115200 |
| Euler characteristic | 2520 |
| Orientable | No |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The great diretroditetrahedronary prismatodishecatonicosachoron, or gidard tipady, is a nonconvex uniform polychoron that consists of 120 dodecahedra, 720 pentagrammic prisms, and 120 rhombidodecadodecahedra. Four dodecahedra, twelve pentagrammic prisms, and twelve rhombidodecadodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#831).
- Klitzing, Richard. "Gidard tipady".
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