Prismatointercepted prismatodispentachoron

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Prismatointercepted prismatodispentachoron
Rank4
TypeUniform
Notation
Bowers style acronymPinnipdip
Elements
Cells10 triangular prisms, 5 octahedra, 10 hexagonal prisms, 5 octahemioctahedra
Faces10+20+20 triangles, 15+30 squares, 20 hexagons
Edges30+60
Vertices30
Vertex figureWindowed wedge, edge lengths 1 (5), 2 (6), and 3 (4)
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral anglesOct–3–trip:
 Oho–3-oct:
 Oho–3–oho:
 Oho–6–hip:
 Trip–4–hip:
 Hip–4–hip:
Related polytopes
ArmySrip
RegimentSrip
ConjugateNone
Convex coreJoined pentachoron
Abstract & topological properties
Flag count1800
Euler characteristic25
OrientableYes
Properties
SymmetryA4, order 120
ConvexNo
NatureWild

The prismatointercepted prismatodispentachoron, or pinnipdip, is a nonconvex uniform polychoron that consists of 5 octahedra, 5 octahemioctahedra, 10 triangular prisms, and 10 hexagonal prisms. 1 octahedron, 2 octahemioctahedra, 2 triangular prisms, and 4 hexagonal prisms join at each vertex.

It has the same faces as the prismatopentintercepted dispentachoron.

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]