Pseudorhombic prismatopentachoron
(Redirected from Pirpop)
Pseudorhombic prismatopentachoron | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Pirpop |
Elements | |
Cells | 10 triangular prisms, 10 hexagonal prisms, 5 truncated tetrahedra |
Faces | 20 triangles, 15+30 squares, 20 hexagons |
Edges | 30+60 |
Vertices | 30 |
Vertex figure | Isosceles triangular retroprism, edge lengths 1 (2), √2 (6), and √3 (4) |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Dichoral angles | Tut–3–trip: |
Tut–6–hip: | |
Trip–4–hip: | |
Hip–4–hip: | |
Related polytopes | |
Army | Srip |
Regiment | Srip |
Conjugate | None |
Convex core | Pentachoron |
Abstract & topological properties | |
Flag count | 1440 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | A4, order 120 |
Convex | No |
Nature | Tame |
The pseudorhombic prismatopentachoron, or pirpop, is a nonconvex uniform polychoron that consists of 5 truncated tetrahedra, 10 triangular prisms, and 10 hexagonal prisms. 2 truncated tetrahedra, 2 triangular prisms and 4 hexagonal prisms join at each vertex.
Vertex coordinates[edit | edit source]
Its vertices are the same as those of its regiment colonel, the small rhombated pentachoron.
External links[edit | edit source]
- Bowers, Jonathan. "Category 6: Sphenoverts" (#136).
- Klitzing, Richard. "pirpop".