Great dipentary trishecatonicosidishecatonicosachoron
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Great dipentary trishecatonicosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidpathidy |
Elements | |
Cells | 120 sissid, 120 ike, 120 ri, 120 giddy, 120 qrid |
Faces | 2400 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons, 720 decagrams |
Edges | 3600+3600 |
Vertices | 1440 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Tex |
Regiment | Gidipthi |
Conjugate | Small dipentary trishecatonicosidishecatonicosachoron |
Abstract & topological properties | |
Flag count | 201600 |
Euler characteristic | 4200 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great dipentary trishecatonicosidishecatonicosachoron, or gidpathidy, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 icosahedra, 120 rhombicosahedra, 120 great dodecicosahedra, and 120 quasirhombicosidodecahedra. One small stellated dodecahedron, one icosahedron, five rhombicosahedra, five great dodecicosahedra, and five quasirhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1138).
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