Disprismatodisicositetrachoron

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Disprismatodisicositetrachoron
Rank4
TypeUniform
Notation
Bowers style acronymDipdi
Elements
Cells96+96 triangular prisms, 24 truncated cubes, 24 small cubicuboctahedra
Faces192+192 triangles, 72+288 squares, 144 octagons
Edges288+288
Vertices144
Measures (edge length 1)
Circumradius
Dichoral anglesTrip–4–trip:
 Socco–8–tic: 90°
 Socco–4–socco: 90°
 Tic–3–trip: 90°
 Socco–3–trip: 30°
Related polytopes
ArmySpic
RegimentSpic
Conjugatedisprismatointercepted disicositetrachoron
Abstract & topological properties
Flag count14976
Euler characteristic216
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The disprismatodisicositetrachoron, or dipdi, is a nonconvex uniform polychoron that consists of 24 small cubicuboctahedra, 24 truncated cubes, and 192 triangular prisms. Four small cubicuboctahedra, four truncated cubes, and eight 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]