Prismatointercepted hexacosidishecatonicosachoron
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Prismatointercepted hexacosidishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pinxady |
Elements | |
Cells | 600 octahedra, 720 decagrammic prisms, 120 quasitruncated great stellated dodecahedra, 120 quasirhombicosidodecahedra |
Faces | 2400+2400 triangles, 1800+3600 squares, 720 pentagrams, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Windowed wedge, edge lengths 1 (4), √2 (6), (√5–1)/2 (1), and √(5–√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Qrid–4–stiddip: |
Oct–3–quit gissid: | |
Qrid–3–oct: | |
Qrid–5/2–qrid: 72° | |
Quit gissid–10/3–stiddip: 54° | |
Stiddip–4–stiddip: | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Gwavixady |
Conjugate | Prismatohecatonicosintercepted hexacosihecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | 3600 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Wild |
The prismatointercepted hexacosidishecatonicosachoron, or pinxady, is a nonconvex uniform polychoron that consists of 600 octahedra, 120 quasirhombicosidodecahedra, 120 quasitruncated great stellated dodecahedra, and 720 decagrammic prisms. One octahedron, two quasirhombicosidodecahedra, two quasitruncated great stellated dodecahedra, and four decagrammic prisms join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the great sphenoverted hexacosidishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#290).