Great ditrigonary dishecatonicosihecatonicosachoron
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Great ditrigonary dishecatonicosihecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Space | Spherical |
Notation | |
Bowers style acronym | Gidtid hihy |
Elements | |
Cells | 120 gidtid, 120 raded, 120 sidditdid |
Faces | 2400 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 720 decagons |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Sidtid hihy |
Abstract & topological properties | |
Euler characteristic | 1440 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great ditrigonary dishecatonicosihecatonicosachoron, or gidtid hihy, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 rhombidodecadodecahedra, and 120 small ditrigonal dodecicosidodecahedra. Two great ditrigonary icosidodecahedra, six rhombidodecadodecahedra, and six small ditrigonal dodecicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1158).
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