Grand ditetrahedronary disprismatohecatonicosachoron

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Grand ditetrahedronary disprismatohecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtadaphi
Elements
Cells120 gid, 720 stip, 1200 trip
Faces2400 triangles, 3600 squares, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces489000
Level of complexity1490
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary disprismatohecatonicosachoron
Abstract & topological properties
Flag count115200
Euler characteristic2400
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral

The grand ditetrahedronary disprismatohecatonicosachoron, or gadtadaphi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 720 pentagrammic prisms, and 1200 triangular prisms. Six great icosidodecahedra, twelve pentagrammic prisms, and twelve triangular prisms 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]