Pseudorhombic prismatopentachoron

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Pseudorhombic prismatopentachoron
Rank4
TypeUniform
Notation
Bowers style acronymPirpop
Elements
Cells10 triangular prisms, 10 hexagonal prisms, 5 truncated tetrahedra
Faces20 triangles, 15+30 squares, 20 hexagons
Edges30+60
Vertices30
Vertex figureIsosceles triangular retroprism, edge lengths 1 (2), 2 (6), and 3 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesTut–3–trip:
 Tut–6–hip:
 Trip–4–hip:
 Hip–4–hip:
Related polytopes
ArmySrip
RegimentSrip
ConjugateNone
Convex corePentachoron
Abstract & topological properties
Flag count1440
Euler characteristic0
OrientableYes
Properties
SymmetryA4, order 120
ConvexNo
NatureTame

The pseudorhombic prismatopentachoron, or pirpop, is a nonconvex uniform polychoron that consists of 5 truncated tetrahedra, 10 triangular prisms, and 10 hexagonal prisms. 2 truncated tetrahedra, 2 triangular prisms and 4 hexagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the small rhombated pentachoron.

External links[edit | edit source]