Dodecahedronary prismatohexacosichoron
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| Dodecahedronary prismatohexacosichoron | |
|---|---|
| Rank | 4 |
| Type | Uniform compound |
| Notation | |
| Bowers style acronym | Dopix |
| Elements | |
| Cells | 600 tetrahedra, 1200 triangular prisms |
| Faces | 2400 triangles, 1800 squares |
| Edges | 1200 |
| Vertices | 120 |
| Vertex figure | Compound of 10 triangular antiprisms, edge lengths 1 (base) and √2 (sides) |
| Measures (edge length 1) | |
| Circumradius | 1 |
| Related polytopes | |
| Army | Ex |
| Regiment | Sishi |
| Conjugate | None |
| Abstract & topological properties | |
| Orientable | Yes |
| Properties | |
| Symmetry | H4, order 14400 |
| Convex | No |
| Nature | Feral |
The dodecahedronary prismatohexacosichoron, dopix, or compound of 60 small prismatodecachora, is a nonconvex uniform polychoron compound that consists of 600 tetrahedra and 1200 triangular prisms. Twenty tetrahedra and 60 triangular prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small stellated hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 17: Sishi Regiment".
- Klitzing, Richard. "dopix".
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