Pseudorhombic dishecatonicosachoron
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Pseudorhombic dishecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pirdy |
Elements | |
Cells | 720 pentagrammic prisms, 120 truncated great dodecahedra, 120 quasitruncated dodecadodecahedra |
Faces | 3600 squares, 1440 pentagrams, 1440 decagons, 720 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Isosceles triangular retroprism, edge lengths √2 (4), (√5–1)/2 (2), √(5+√5)/2 (4), and √(5–√5)/2 (2) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Tigid–5/2–stip: 126° |
Quitdid–10/3–quitdid: 108° | |
Tigid–10–quitdid: 36° | |
Quitdid–4–stip: | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Sraghi |
Conjugate | Pseudorhombic hecatonicosihecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –960 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The pseudorhombic dishecatonicosachoron, or pirdy, is a nonconvex uniform polychoron that consists of 120 truncated great dodecahedra, 720 pentagrammic prisms, and 120 quasitruncated dodecadodecahedra. Two truncated great dodecahedra, two pentagrammic prisms, and four quasitruncated dodecadodecahedra join at each vertex.
Vertex coordinates[edit | edit source]
The vertices are the same as those of the regiment colonel, the small rhombated grand hecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#196).