Pseudorhombic hecatonicosihecatonicosachoron
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Pseudorhombic hecatonicosihecatonicosachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pirhihy |
Elements | |
Cells | 720 pentagonal prisms, 120 quasitruncated small stellated dodecahedra, 120 quasitruncated dodecadodecahedra |
Faces | 3600 squares, 1440 pentagons, 720 decagons, 1440 decagrams |
Edges | 3600+7200 |
Vertices | 3600 |
Vertex figure | Isosceles triangular retroprism, edge lengths √2 (4), (1+√5)/2 (2), √(5+√5)/2 (2), and √(5–√5)/2 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Quit sissid–10/3–quitdid: 72° |
Quitdid–4–pip: | |
Quitdid–10–quitdid: 36° | |
Quit sissid–5–pip: 18° | |
Related polytopes | |
Army | Semi-uniform srix |
Regiment | Wavathi |
Conjugate | Pseudorhombic dishecatonicosachoron |
Abstract & topological properties | |
Euler characteristic | –960 |
Orientable | Yes |
Properties | |
Symmetry | H4, order 14400 |
Convex | No |
Nature | Tame |
The pseudorhombic hecatonicosihecatonicosachoron, or pirhihy, is a nonconvex uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra, 720 pentagonal prisms, and 120 quasitruncated dodecadodecahedra. Two quasitruncated small stellated dodecahedra, two pentagonal 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 sphenoverted trishecatonicosachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#280).