Omnifacetododecahedronary dishecatonicosachoron
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Omnifacetododecahedronary dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Ofiddady |
Coxeter diagram | o3o5/3o3x5/2o3*c5*aØ*e |
Elements | |
Cells | 120 sidtid, 120 ike |
Faces | 2400 triangles, 720 pentagrams |
Edges | 1200 |
Vertices | 120 |
Edge figure | (ike 3 sidtid 5/2 sidtid 3)×3 |
Measures (edge length 1) | |
Circumradius | 1 |
Number of external pieces | 66240 |
Level of complexity | 112 |
Related polytopes | |
Army | Ex |
Regiment | Sishi |
Conjugate | Didhi |
Abstract & topological properties | |
Euler characteristic | 1800 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Feral |
The omnifacetododecahedronary dishecatonicosachoron, or ofiddady, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra and 120 icosahedra. Twenty small ditrigonary icosidodecahedra and twelve icosahedra join at each vertex.
It also has great complex icosidodecahedra as exotic pseudofacets.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small ditrigonary hexacosihecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 17: Sishi Regiment" (#770).
- Klitzing, Richard. "ofiddady".
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