Pseudorhombic small hecatonicosihexacosichoron

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Pseudorhombic small hecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymPirshix
Elements
Cells720 pentagonal prisms, 600 truncated octahedra, 120 truncated icosahedra
Faces3600 squares, 1440 pentagons, 1200+2400 hexagons
Edges3600+7200
Vertices3600
Vertex figureIsosceles triangular retroprism, edge lengths 2 (4), (1+5)/2 (2), and 3 (6)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesToe–6–toe:
 Ti–6–toe:
 Ti–5–pip: 18°
 Toe–4–pip:
Related polytopes
ArmySemi-uniform srix
RegimentSirghi
ConjugatePseudorhombic great hecatonicosihexacosichoron
Abstract & topological properties
Euler characteristic0
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The pseudorhombic small hecatonicosihexacosichoron, or pirshix, is a nonconvex uniform polychoron that consists of 120 truncated icosahedra, 720 pentagonal prisms, and 600 truncated octahedra. Two truncated icosahedra, two pentagonal prisms, and four truncated octahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the small rhombated great hecatonicosachoron.

External links[edit | edit source]