Great based dipentary tetrishecatonicosihexacosichoron
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Great based dipentary tetrishecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gabdupthix |
Elements | |
Cells | 120 gike, 120 ike, 600 co, 120 ri, 120 giddy |
Faces | 4800 triangles, 3600 squares, 2400 hexagons, 720 decagrams |
Edges | 3600+3600 |
Vertices | 1440 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Tex |
Regiment | Gidipthi |
Conjugate | Small based dipentary tetrishecatonicosihexacosichoron |
Abstract & topological properties | |
Flag count | 201600 |
Euler characteristic | 4680 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great based dipentary tetrishecatonicosihexacosichoron, or gabdupthix, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 icosahedra, 600 cuboctahedra, 120 rhombicosahedra, and 120 great dodecicosahedra. One great icosahedron, one icosahedron, five cuboctahedra, five rhombicosahedra, and five great dodecicosahedra 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" (#1134).
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