Great ditrigonary dishecatonicosidishexacosihecatonicosachoron
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Great ditrigonary dishecatonicosidishexacosihecatonicosachoron | |
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Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidtid hidixhi |
Elements | |
Cells | 600 oct, 120 id, 120 giid, 120 quitdid, 600 cho |
Faces | 4800 triangles, 3600 squares, 1440 pentagons, 2400 hexagons, 720 decagons, 720 decagrams |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Sidtid hidixhi |
Abstract & topological properties | |
Euler characteristic | 6120 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great ditrigonary dishecatonicosidishexacosihecatonicosachoron, or gidtid hidixhi, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, 120 great icosicosidodecahedra, 120 quasitruncated dodecadodecahedra, and 600 cubohemioctahedra. Three octahedra, three icosidodecahedra, six great icosicosidodecahedra, twelve quasitruncated dodecadodecahedra, and six cubohemioctahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the rectified small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 23: Rissidtixhi Regiment" (#1271).
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