Great capped dipentary tetrishecatonicosihexacosichoron
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Great capped dipentary tetrishecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gacdupthix |
Elements | |
Cells | 120 small stellated dodecahedra, 120 great dodecahedra, 120 rhombidodecadodecahedra, 600 cubohemioctahedra, 120 great dodecicosahedra |
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 tetrishecatonicosihexacosichoron |
Abstract & topological properties | |
Flag count | 201600 |
Euler characteristic | 2760 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great capped dipentary tetrishecatonicosahexacosichoron, or gacdupthix, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 great dodecahedra, 120 rhombidodecadodecahedra, 600 cubohemioctahedra, and 120 great dodecicosahedra. 1 small stellated dodecahedron, 1 great dodecahedron, 5 rhombidodecadodecahedra, 5 cubohemioctahedra, and 5 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" (#1133).
- Klitzing, Richard. "gacdupthix".
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