Great dipentary prismatotetrishecatonicosachoron
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Great dipentary prismatotetrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidpupthi |
Elements | |
Cells | 120 sissid, 120 gad, 720 pip, 120 tiggy, 120 ri |
Faces | 3600 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
Edges | 3600+3600 |
Vertices | 1440 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Tex |
Regiment | Gidipthi |
Conjugate | Small dipentary prismatotetrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 172800 |
Euler characteristic | 1920 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great dipentary prismatotetrishecatonicosachoron, or gidpupthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 720 pentagonal prisms, 120 truncated great icosahedra, and 120 rhombicosahedra. One small stellated dodecahedron, one great dodecahedron, five pentagonal prisms, five truncated great icosahedra, and five rhombicosahedra 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" (#1083).
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