Diretroprismatodisicositetritetracontoctachoron

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Diretroprismatodisicositetritetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymDirpidic
Elements
Cells96 triangular prisms, 24+24 octahedra, 24 truncated cubes, 24 small rhombihexahedra
Faces192+192 triangles, 288 squares, 144 octagons
Edges288+288
Vertices144
Measures (edge length 1)
Circumradius
Dichoral anglesOct–3–trip: 150°
 Oct–3–tic: 60°
 Sroh–8–tic: 45°
 Sroh–4–trip:
Number of external pieces5328
Level of complexity184
Related polytopes
ArmySpic
RegimentSpic
ConjugateIcositetrafaceted prismatoicositetritetracontoctachoron
Abstract & topological properties
Flag count13824
Euler characteristic192
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The diretroprismatodisicositetritetracontoctachoron, or dirpidic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombihexahedra, and 96 triangular prisms. Two octahedra, four truncated cubes, four small rhombihexahedra, and four triangular prisms join at each vertex.

It has the same cell counts as the prismatofaceted tetracontoctodisicositetrachoron, but the small rhombihexahedra and triangular prisms are in different positions.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]

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