Pentagonal retroprismatoverted hexacosihecatonicosachoron

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Pentagonal retroprismatoverted hexacosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymPrap vixhi
Coxeter diagram(o3x3x3/2o5*a)/2 (/2)
Elements
Cells
Faces
Edges3600
Vertices720
Vertex figurePentagonal retroprism, edge lengths 1 (base) and 3 (side)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesIke–3–tut:
 Tut–6–tut:
Central density247
Number of external pieces927840
Level of complexity2562
Related polytopes
ArmyRox
RegimentRagishi
ConjugatePentagrammal antiprismatoverted hexacosihecatonicosachoron
Convex coreHexacosichoron
Abstract & topological properties
Flag count57600
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
Flag orbits4
ConvexNo
NatureTame

The pentagonal retroprismatoverted hexacosihecatonicosachoron, or prap vixhi, is a nonconvex uniform polychoron that consists of 120 regular icosahedra and 600 truncated tetrahedra. 2 icosahedra and 10 truncated tetrahedra join at each vertex.

Gallery[edit | edit source]

Card with cell counts, vertex figure, and cross-sections.

Vertex coordinates[edit | edit source]

The vertices are the same as those of its regiment colonel, the rectified great stellated hecatonicosachoron.

External links[edit | edit source]