Prismatorhombiretrosnub icositetrachoron
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Prismatorhombiretrosnub icositetrachoron | |
---|---|
Rank | 4 |
Type | Scaliform |
Notation | |
Bowers style acronym | Prarsi |
Coxeter diagram | |
Elements | |
Cells | 96 triangular prisms, 96 triangular cupolas, 24 truncated tetrahedra, 24 great icosahedra |
Faces | 96+192+288 triangles, 288 squares, 96 hexagons |
Edges | 144+288+576 |
Vertices | 288 |
Measures (edge length 1) | |
Circumradius | |
Hypervolume | |
Related polytopes | |
Army | Non-equilateral Prissi |
Regiment | Prarsi |
Conjugate | Prismatorhombisnub icositetrachoron |
Abstract & topological properties | |
Orientable | Yes |
Properties | |
Symmetry | F4/2, order 576 |
Convex | No |
Nature | Tame |
The prismatorhombiretrosnub icositetrachoron, or prarsi, is a scaliform polychoron. It consists of 96 triangular prisms, 96 triangular cupolas, 24 truncated tetrahedra, and 24 great icosahedra. 1 great icosahedron, 1 truncated tetrahedron, 2 triangular prisms, and 3 triangular cupolas join at each vertex.
It can be constructed from the retrosnub disicositetrachoron by expanding the icosahedral cells outward by unit distance. It is also a subsymmetrical faceting of gidipthi; blending 25 of this polychoron results in gad phiddix, a member of the gidipthi regiment.
Vertex coordinates[edit | edit source]
A prismatorhombiretrosnub icositetrachoron of edge length 1 has vertex coordinates given by all even permutations of:
External links[edit | edit source]
- Bowers, Jonathan. "Category S3: Special Scaliforms" (#S31).
- Klitzing, Richard. "prarsi".