Disicositetrintercepted icositetritetracontoctachoron

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Disicositetrintercepted icositetritetracontoctachoron
Rank4
TypeUniform
Notation
Bowers style acronymDinic
Elements
Cells48 oct, 24 tic, 24 sirco, 24 sroh
Faces384 triangles, 360 squares, 144 octagons
Edges576
Vertices144
Measures (edge length 1)
Circumradius
Number of external pieces1008
Level of complexity28
Related polytopes
ArmySpic
RegimentSpic
ConjugateIncdi
Abstract & topological properties
Euler characteristic336
OrientableNo
Properties
SymmetryF4, order 1152
ConvexNo
NatureWild

The disicositetrintercepted icositetritetracontoctachoron, or dinic, is a nonconvex uniform polychoron that consists of 48 octahedra, 24 truncated cubes, 24 small rhombicuboctahedra, and 24 small rhombihexahedra. Two octahedra, four truncated cubes, four small rhombicuboctahedra, and four small rhombihexahedra 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]