Prismatopentintercepted dispentachoron

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Prismatopentintercepted dispentachoron
Rank4
TypeUniform
Notation
Bowers style acronymPippindip
Elements
Cells5 octahedra, 10 hexagonal prisms, 5 truncated tetrahedra, 5 cuboctahedra
Faces10+20+20 triangles, 15+30 squares, 20 hexagons
Edges30+60
Vertices30
Vertex figureInverted wedge, edge lengths 1 (5), 2 (6), and 3 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesCo–3-oct:
 Oct–3–tut:
 Co–3–co:
 Co–4–hip:
 Tut–6–hip:
 Hip–4–hip:
Related polytopes
ArmySrip
RegimentSrip
ConjugateNone
Convex corePentachoron
Abstract & topological properties
Flag count1800
Euler characteristic30
OrientableYes
Properties
SymmetryA4, order 120
ConvexNo
NatureWild

The prismatopentintercepted dispentachoron, or pippindip, is a nonconvex uniform polychoron that consists of 5 truncated tetrahedra, 5 octahedra, 5 cuboctahedra, and 10 hexagonal prisms. 2 truncated tetrahedra, 2 cuboctahedra, 1 octahedron, and 4 hexagonal prisms join at each vertex.

It has the same faces as the prismatointercepted prismatodispentachoron.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]