Dishecatonicosintercepted hecatonicosihexacosichoron
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Dishecatonicosintercepted hecatonicosihexacosichoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Dohinahix |
Elements | |
Cells | 600 octahedra, 120 truncated dodecahedra, 120 small icosicosidodecahedra, 120 great rhombicosidodecahedra |
Faces | 2400+2400 triangles, 1800 squares, 720 pentagrams, 2400 hexagons, 1440 decagons |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Inverted wedge, edge lengths 1 (4), √2 (2), (√5–1)/2 (2), √3 (4), and √(5+√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Siid–3–oct: |
Siid–5/2–siid: 144° | |
Tid–10–grid: 144° | |
Oct–3–tid: | |
Siid–6–grid: 120° | |
Grid–4–grid: 90° | |
Related polytopes | |
Army | Semi-uniform Srahi, edge lengths (pentagons), 1 (octahedra) |
Regiment | Wavhiddix |
Conjugate | Hecatonicosintercepted hexacosidishecatonicosachoron |
Abstract & topological properties | |
Flag count | 216000 |
Euler characteristic | 3000 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The dishecatonicosintercepted hecatonicosihexacosichoron, or dohinahix, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 small icosicosidodecahedra, 120 truncated dodecahedra, and 120 great rhombicosidodecahedra. One octahedron, two small icosicosidodecahedra, two truncated dodecahedra, and four great rhombicosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the sphenoverted hecatonicosidishexacosichoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#247).