Small ditetrahedronary prismatohexacosihecatonicosachoron
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Small ditetrahedronary prismatohexacosihecatonicosachoron | |
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Rank | 4 |
Type | Uniform |
Space | Spherical |
Notation | |
Bowers style acronym | Siddit paxhi |
Elements | |
Cells | 600 tet, 720 pip, 120 srid |
Faces | 2400 triangles, 3600 squares, 1440 pentagons |
Edges | 3600 |
Vertices | 600 |
Measures (edge length 1) | |
Circumradius | |
Number of external pieces | 1309680 |
Level of complexity | 2717 |
Related polytopes | |
Army | Hi |
Regiment | Sidtaxhi |
Conjugate | Gardtapaxhi |
Abstract & topological properties | |
Flag count | 115200 |
Euler characteristic | 3000 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Feral |
The small ditetrahedronary prismatohexacosihecatonicosachoron, or siddit paxhi, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 720 pentagonal prisms, and 120 small rhombicosidodecahedra. Four tetrahedra, twelve pentagonal prisms, and twelve small rhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditetrahedronary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 18: Ditetrahedrals" (#793).
- Klitzing, Richard. "siddit paxhi".
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