Great ditetrahedronary cubiprismatodishecatonicosachoron

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Great ditetrahedronary cubiprismatodishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGidtacpady
Elements
Cells120 compounds of five cubes, 120 dodecahedra, 120 dodecadodecahedra, 720 pentagrammic prisms
Faces3600 squares, 1440 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces80880
Level of complexity173
Related polytopes
ArmyHi
RegimentDattady
ConjugateDitetrahedronary cubiprismatodishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic1920
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great ditetrahedronary cubiprismatodishecatonicosachoron, or gidtacpady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, 120 dodecadodecahedra, and 720 pentagrammic prisms. Eight cubes (or four compounds), four dodecahedra, six dodecadodecahedra, and twelve pentagrammic 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]