Chirorhombicosahedral alterprism
(Redirected from Chirorhombialterprism)
Chirorhombicosahedral alterprism | |
---|---|
Rank | 4 |
Type | Uniform |
Notation | |
Bowers style acronym | Kra |
Elements | |
Components | 10 octahedral prisms |
Cells | 20+60 triangular prisms, 20 octahedra |
Faces | 40+120 triangles, 60+60 squares |
Edges | 60+120+120 |
Vertices | 120 |
Vertex figure | Square pyramid, edge lengths 1 (base), √2 (legs) |
Measures (edge length 1) | |
Circumradius | |
Volume | |
Dichoral angles | Trip–4–trip: |
Oct–3–trip: 90° | |
Central density | 10 |
Related polytopes | |
Army | Semi-uniform Tipe |
Regiment | Kra |
Dual | Chiral compound of ten triangular antitegmatic tegums |
Conjugate | Chirorhombicosahedron |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | (H3×A1)+, order 120 |
Convex | No |
Nature | Tame |
The chirorhombicosahedral alterprism, kra, or chiral compound of ten octahedral prisms is a uniform polychoron compound. It consists of 80 triangular prisms of two kinds and 20 octahedra, with 1 octahedron and 4 triangular prisms joining at a vertex.
It is an alterprism based on the chirorhombicosahedron.
Its quotient prismatic equivalent is the triangular antiprismatic prismatic decayottoorthowedge, which is thirteen-dimensional.