Great tritrigonary trishecatonicosihexacosichoron
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Great tritrigonary trishecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Getit thix |
Coxeter diagram | (x3x3/2o3o5/3*a5*c) |
Elements | |
Cells | 600 tetrahedra, 120 ditrigonary dodecadodecahedra, 120 truncated great icosahedra, 120 great icosicosidodecahedra |
Faces | 2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons |
Edges | 3600+7200 |
Vertices | 2400 |
Vertex figure | Crossed retrotriangular cupola, edge lengths 1 (top triangle), (1+√5)/2 (3 edges of base tripod), (√5–1)/2 (remaining base edges), and √3 (side edges) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Ditdid–5–giid: 108° |
Tet–3–giid: | |
Ditdid–5/2–tiggy: 72° | |
Giid–6–tiggy: 60° | |
Related polytopes | |
Army | Semi-uniform sidpixhi |
Regiment | Getit xethi |
Conjugate | Small tritrigonary trishecatonicosihexacosichoron |
Abstract & topological properties | |
Euler characteristic | –1680 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The great tritrigonary trishecatonicosihexacosichoron, or getit thix, is a nonconvex uniform polychoron that consists of 600 regular tetrahedra, 120 truncated great icosahedra, 120 great icosicosidodecahedra, and 120 ditrigonary dodecadodecahedra. 1 tetrahedron, 3 truncated great icosahedra, 3 great icosicosidodecahedra, and 1 ditrigonary dodecadodecahedron join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the great tritrigonary hexacositrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 25: Getit Xethi Regiment" (#1388).
- Klitzing, Richard. "getit thix".