Great tritrigonary prismatohexacosiprismatotrishecatonicosachoron
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Great tritrigonary prismatohexacosiprismatotrishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Getit pixipthi |
Elements | |
Cells | 120 gidtid, 600 tet, 120 quit gissid, 120 giid, 1200 hip, 720 stiddip |
Faces | 4800 triangles, 7200 squares, 1440 pentagons, 2400 hexagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 2400 |
Measures (edge length 1) | |
Circumradius | |
Related polytopes | |
Army | Semi-uniform Sidpixhi |
Regiment | Getit xethi |
Conjugate | Stut pixipthi |
Abstract & topological properties | |
Euler characteristic | 6000 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The great tritrigonary prismatohexacosiprismatotrishecatonicosachoron, or getit pixipthi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 600 tetrahedra, 120 quasitruncated great stellated dodecahedra, 120 great icosicosidodecahedra, 1200 hexagonal prisms, and 720 decagrammic prisms. One great ditrigonary icosidodecahedron, one tetrahedron, three quasitruncated great stellated dodecahedra, three great icosicosidodecahedra, six hexagonal prisms, and six decagrammic prisms join at each vertex.
It also has compound of five cubes as pseudofacets.
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" (#1454).
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