Grand ditetrahedronary cubidishecatonicosachoron

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Grand ditetrahedronary cubidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtacady
Elements
Cells120 great icosidodecahedra, 120 compounds of five cubes, 120 quasirhombicosidodecahedra
Faces2400 triangles, 3600 squares, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary cubidishecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand ditetrahedronary cubidishecatonicosachoron, or gadtacady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 120 quasirhombicosidodecahedra. Six great icosidodecahedra, eight cubes (or four compounds), and twelve quasirhombicosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

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

External links[edit | edit source]