Octahexadecahemihexadecachoron
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Octahexadecahemihexadecachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Ohuhoh |
Elements | |
Cells | |
Faces | |
Edges | 96 |
Vertices | 24 |
Measures (edge length 1) | |
Circumradius | 1 |
Dichoral angle | Thah–3–thah: 120° Thah–4–co: 90° Oct–3–co: 60° |
Number of external pieces | 328 |
Level of complexity | 21 |
Related polytopes | |
Army | Ico |
Regiment | Ico |
Conjugate | None |
Abstract & topological properties | |
Flag count | 1920 |
Euler characteristic | 40 |
Orientable | No |
Properties | |
Symmetry | B4, order 384 |
Flag orbits | 5 |
Convex | No |
Nature | Wild |
The octahexadecahemihexadecachoron, or ohuhoh, is a nonconvex uniform polychoron. It consists of 8 octahedra, 16 tetrahemihexahedra, and 8 central cuboctahedra, with 4 tetrahemihexahedra, 2 octahedra, and 4 cuboctahedra at each vertex.
As well as being isogonal, it is also isotoxal.
Gallery[edit | edit source]
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Cross-sections
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One of each cell
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the icositetrachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 4: Ico Regiment" (#65).
- Klitzing, Richard. "ohuhoh".