Grand inverted ditetrahedronary dishecatonicosihexacosichoron

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Grand inverted ditetrahedronary dishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGaid tadhix
Elements
Cells600 tet, 120 gid, 120 gidtid
Faces2400 triangles, 720 pentagons, 1440 pentagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of external pieces15600
Level of complexity41
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary distrishecatonicosihexacosichoron
Abstract & topological properties
Flag count72000
Euler characteristic720
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand inverted ditetrahedronary dishecatonicosihexacosichoron, or gaid tadhix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 great icosidodecahedra, and 120 ditrigonary dodecadodecahedra. Four tetrahedra, six great icosidodecahedra, and four ditrigonary dodecadodecahedra 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]