Great capped dipentary hexacositetrishecatonicosachoron
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Great capped dipentary hexacositetrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gacdip xuthi |
Elements | |
Cells | 120 sissid, 120 gad, 120 ided, 600 cho, 120 gird |
Faces | 3600 squares, 1440 pentagons, 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 capped dipentary hexacositetrishecatonicosachoron |
Abstract & topological properties | |
Flag count | 201600 |
Euler characteristic | 2760 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great capped dipentary hexacositetrishecatonicosachoron, or gacdip xuthi, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 120 icosidodecadodecahedra, 600 cubohemioctahedra, and 120 great rhombidodecahedra. One small stellated dodecahedron, one great dodecahedron, five icosidodecadodecahedra, five cubohemioctahedra, and five great rhombidodecahedra 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" (#1132).
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