Great retroinverted ditetrahedronary trishecatonicosachoron
| Great retroinverted ditetrahedronary trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Notation | |
| Bowers style acronym | Gridtathi |
| Elements | |
| Cells | 120 sidtid, 120 doe, 120 ided |
| Faces | 1200 triangles, 1440 pentagons, 1440 pentagrams, 1200 hexagons |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 72600 |
| Level of complexity | 173 |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Great retroditetrahedronary trishecatonicosachoron |
| Abstract & topological properties | |
| Flag count | 100800 |
| Euler characteristic | 1920 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The great retroinverted ditetrahedronary trishecatonicosachoron, or gridtathi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecahedra, and 120 icosidodecadodecahedra. Four small ditrigonary icosidodecahedra, four dodecahedra, and twelve icosidodecadodecahedra 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" (#835).
- Klitzing, Richard. "gridtathi".
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