Pseudorhombic hecatonicosihecatonicosachoron

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Pseudorhombic hecatonicosihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymPirhihy
Elements
Cells720 pentagonal prisms, 120 quasitruncated small stellated dodecahedra, 120 quasitruncated dodecadodecahedra
Faces3600 squares, 1440 pentagons, 720 decagons, 1440 decagrams
Edges3600+7200
Vertices3600
Vertex figureIsosceles triangular retroprism, edge lengths 2 (4), (1+5)/2 (2), (5+5)/2 (2), and (5–5)/2 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesQuit sissid–10/3–quitdid: 72°
 Quitdid–4–pip:
 Quitdid–10–quitdid: 36°
 Quit sissid–5–pip: 18°
Related polytopes
ArmySemi-uniform srix
RegimentWavathi
ConjugatePseudorhombic dishecatonicosachoron
Abstract & topological properties
Euler characteristic–960
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The pseudorhombic hecatonicosihecatonicosachoron, or pirhihy, is a nonconvex uniform polychoron that consists of 120 quasitruncated small stellated dodecahedra, 720 pentagonal prisms, and 120 quasitruncated dodecadodecahedra. Two quasitruncated small stellated dodecahedra, two pentagonal prisms, and four quasitruncated dodecadodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

The vertices are the same as those of the regiment colonel, the sphenoverted trishecatonicosachoron.

External links[edit | edit source]