Great capped dipentary hexacositrishecatonicosachoron
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Great capped dipentary hexacositrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gicdappixthi |
Elements | |
Cells | 120 sissid, 600 tut, 120 ri, 120 qrid |
Faces | 2400 triangles, 3600 squares, 1440 pentagrams, 2400 hexagons |
Edges | 3600+3600 |
Vertices | 1440 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Tex |
Regiment | Gidipthi |
Conjugate | Small based dipentary hexacositrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 172800 |
Euler characteristic | 3120 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great capped dipentary hexacositrishecatonicosachoron, or gicdappixthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 600 truncated tetrahedra, 120 rhombicosahedra, and 120 quasirhombicosidodecahedra. One small stellated dodecahedron, five truncated tetrahedra, five rhombicosahedra, 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" (#1097).
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