Great ditrigonary hecatonicositrishecatonicosihexacosichoron
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Great ditrigonary hecatonicositrishecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Gidthithix |
Elements | |
Cells | 600 oct, 120 id, 120 raded, 120 siid, 120 giddy |
Faces | 4800 triangles, 1800 squares, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams |
Edges | 7200 |
Vertices | 1200 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Rahi |
Regiment | Rissidtixhi |
Conjugate | Sidthithix |
Abstract & topological properties | |
Euler characteristic | 5520 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great ditrigonary hecatonicositrishecatonicosihexacosichoron, or gidthithix, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 icosidodecahedra, 120 rhombidodecadodecahedra, 120 small icosicosidodecahedra, and 120 great dodecicosahedra. Three octahedra, three icosidodecahedra, six rhombidodecadodecahedra, six small icosicosidodecahedra, and six great dodecicosahedra 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" (#1204).
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