Pseudorhombic dishecatonicosachoron

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Pseudorhombic dishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymPirdy
Elements
Cells720 pentagrammic prisms, 120 truncated great dodecahedra, 120 quasitruncated dodecadodecahedra
Faces3600 squares, 1440 pentagrams, 1440 decagons, 720 decagrams
Edges3600+7200
Vertices3600
Vertex figureIsosceles triangular retroprism, edge lengths 2 (4), (5–1)/2 (2), (5+5)/2 (4), and (5–5)/2 (2)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTigid–5/2–stip: 126°
 Quitdid–10/3–quitdid: 108°
 Tigid–10–quitdid: 36°
 Quitdid–4–stip:
Related polytopes
ArmySemi-uniform srix
RegimentSraghi
ConjugatePseudorhombic hecatonicosihecatonicosachoron
Abstract & topological properties
Euler characteristic–960
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The pseudorhombic dishecatonicosachoron, or pirdy, is a nonconvex uniform polychoron that consists of 120 truncated great dodecahedra, 720 pentagrammic prisms, and 120 quasitruncated dodecadodecahedra. Two truncated great dodecahedra, two pentagrammic 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 small rhombated grand hecatonicosachoron.

External links[edit | edit source]