Prismatorhombiretrosnub icositetrachoron

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Prismatorhombiretrosnub icositetrachoron
Rank4
TypeScaliform
Notation
Bowers style acronymPrarsi
Coxeter diagram
Elements
Cells96 triangular prisms, 96 triangular cupolas, 24 truncated tetrahedra, 24 great icosahedra
Faces96+192+288 triangles, 288 squares, 96 hexagons
Edges144+288+576
Vertices288
Measures (edge length 1)
Circumradius
Hypervolume
Central density-1
Related polytopes
ArmyNon-equilateral Prissi
RegimentPrarsi
ConjugatePrismatorhombisnub icositetrachoron
Abstract & topological properties
OrientableYes
Properties
SymmetryF4/2, order 576
ConvexNo
NatureTame

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]