Disicositetrintercepted prismatoicositetrachoron

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Disicositetrintercepted prismatoicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymDinpi
Elements
Cells
Faces
Edges288+288
Vertices144
Measures (edge length 1)
Circumradius
Hypervolume
Dichoral angleSirco–4–socco: 90°
Socco–8–tic: 90°
Sirco–3–trip: 90°
Socco–3–tic: 90°
Sirco–4–trip:
Related polytopes
ArmySpic
RegimentSpic
ConjugateIcositetriprismatointercepted disicositetrachoron
Abstract & topological properties
Flag count16128
Euler characteristic360
OrientableYes
Properties
SymmetryF4, order 1152
Flag orbits14
ConvexNo
NatureWild

The disicositetrintercepted prismatoicositetrachoron, or dinpi, is a nonconvex uniform polychoron that consists of 24 truncated cubes, 24 small cubicuboctahedra, 24 small rhombicuboctahedra, and 96 triangular prisms. Four truncated cubes, four small cubicuboctahedra, four small rhombicuboctahedra, and four triangular prisms join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]