Medial rhombiprismic dishecatonicosachoron
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Medial rhombiprismic dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Mirpady |
Elements | |
Cells | 720 decagonal prisms, 120 great rhombidodecahedra, 120 quasitruncated dodecadodecahedra |
Faces | 3600+3600 squares, 1440 decagons, 1440 decagrams |
Edges | 3600+7200+7200 |
Vertices | 7200 |
Vertex figure | Butterfly pyramid, base edge lengths √(5–√5)/2, √2, √(5–√5)/2, √2; lateral edge lengths √2, √2, √(5+√5)/2, √(5+√5)/2 |
Measures (edge length 1) | |
Circumradius | |
Dichoral angles | Quitdid–4–dip: |
Gird–10/3–quitdid: 108° | |
Gird–4–dip: | |
Quitdid–10–dip: 54° | |
Related polytopes | |
Army | Semi-uniform Grix |
Regiment | Sipthi |
Conjugate | Rhombiprismic dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –1680 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The medial rhombiprismic dishecatonicosachoron, or mirpady, is a nonconvex uniform polychoron that consists of 120 great rhombidodecahedra, 720 decagonal prisms, and 120 quasitruncated dodecadodecahedra. One great rhombidodecahedron, two decagonal prisms, and two quasitruncated dodecadodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small prismatotrishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#405).