Ditetrahedronary cubiprismatodishecatonicosachoron

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Ditetrahedronary cubiprismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymDatcapady
Elements
Cells120 compounds of five cubes, 120 great stellated dodecahedra, 120 dodecadodecahedra, 720 pentagonal prisms
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces103320
Level of complexity203
Related polytopes
ArmyHi
RegimentDattady
ConjugateGreat ditetrahedronary cubiprismatodishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic1920
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The ditetrahedronary cubiprismatodishecatonicosachoron, or datcapady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 great stellated dodecahedra, 120 dodecadodecahedra, and 720 pentagonal prisms. Eight cubes (or four compounds), four great stellated dodecahedra, six dodecadodecahedra, and twelve pentagonal prisms join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

External links[edit | edit source]