Grand ditetrahedronary cubihecatonicosachoron

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Grand ditetrahedronary cubihecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtachi
Elements
Cells120 compounds of five cubes, 120 great rhombidodecahedra
Faces3600 squares, 720 decagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary cubihecatonicosachoron
Abstract & topological properties
Flag count86400
Euler characteristic600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureTame

The grand ditetrahedronary cubihecatonicosachoron, or gadtachi, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes) and 120 great rhombidodecahedra. Eight cubes (or four compounds) and twelve great rhombidodecahedra 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]