Decahemidecachoron
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Decahemidecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Duhd |
Coxeter diagram | o3o3x3x3/2*b () |
Elements | |
Cells | 10 tetrahedra, 5 octahemioctahedra |
Faces | 40 triangles, 10 hexagons |
Edges | 60 |
Vertices | 20 |
Vertex figure | Crossed triangular prism, edge lengths 1 (base) and √3 (sides) |
Edge figure | tet 3 oho 6 oho 3 |
Measures (edge length 1) | |
Circumradius | 1 |
Hypervolume | |
Dichoral angles | Tet–3–oho: |
Oho–6–oho: | |
Number of external pieces | 50 |
Level of complexity | 5 |
Related polytopes | |
Army | Spid |
Regiment | Spid |
Conjugate | None |
Abstract & topological properties | |
Flag count | 720 |
Euler characteristic | –5 |
Orientable | Yes |
Properties | |
Symmetry | A4×2, order 240 |
Convex | No |
Nature | Tame |
The decahemidecachoron, or duhd, is a nonconvex uniform polychoron that consists of 10 regular tetrahedra and 5 octahemioctahedra. 2 tetrahedra and 3 octahemioctahedra join at each vertex.
Cross-sections[edit | edit source]
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatodecachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 11: Antipodiumverts" (#444).
- Klitzing, Richard. "duhd".