Rhombic hexacosidishecatonicosachoron
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Rhombic hexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Rixady |
Elements | |
Cells | 600 cubohemioctahedra, 120 quasitruncated dodecahedra, 120 icosidodecatruncated icosidodecahedra |
Faces | 3600 squares, 2400 hexagons, 1440 decagons, 1440 decagrams |
Edges | 3600+7200+7200 |
Vertices | 7200 |
Vertex figure | Skewed bowtie pyramid, base edge lengths √2, √3, √2, √3; lateral edge lengths √(5+√5)/2, √(5+√5)/2, √(5–√5)/2, √(5–√5)/2 |
Measures (edge length 1) | |
Circumradius | 3 |
Dichoral angles | Oho–6–idtid: |
Co–4–quitdid: 135° | |
Idtid–10/3–quitdid: 108° | |
Idtid–10–quitdid: 36° | |
Related polytopes | |
Army | Semi-uniform Prahi |
Regiment | Hixady |
Conjugate | Rhombic hexacosidishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –2760 |
Orientable | No |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The rhombic hexacosidishecatonicosachoron, or rixady, is a nonconvex uniform polychoron that consists of 600 cubohemioctahedra, 120 quasitruncated dodecadodecahedra, and 120 icosidodecatruncated icosidodecahedra. One cubohemioctahedron, two quasitruncated dodecadodecahedra, and two icosidodecatruncated icosidodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the hecatonicosihexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 10: Prismatorhombates" (#420).