Retroinverted ditetrahedronary trishecatonicosachoron
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| Retroinverted ditetrahedronary trishecatonicosachoron | |
|---|---|
 | |
| Rank | 4 |
| Type | Uniform |
| Space | Spherical |
| Notation | |
| Bowers style acronym | Ridatathi |
| Elements | |
| Cells | 120 sidtid, 120 doe, 120 did |
| Faces | 1200 triangles, 1440 pentagons, 1440 pentagrams |
| Edges | 3600 |
| Vertices | 600 |
| Measures (edge length 1) | |
| Circumradius | |
| Number of external pieces | 41280 |
| Level of complexity | 76 |
| Related polytopes | |
| Army | Hi |
| Regiment | Dattady |
| Conjugate | Mardatathi |
| Abstract & topological properties | |
| Flag count | 72000 |
| Euler characteristic | 720 |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Wild |
The retroinverted ditetrahedronary trishecatonicosachoron, or ridatathi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecahedra, and 120 dodecadodecahedra. Four small ditrigonary icosidodecahedra, four dodecahedra, and six dodecadodecahedra 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" (#821).
- Klitzing, Richard. "ridatathi".
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