Great invertifrustary tetrishecatonicosihexacosichoron

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Great invertifrustary tetrishecatonicosihexacosichoron
Rank4
TypeUniform
Notation
Bowers style acronymGifuthix
Elements
Cells120 did, 600 oct, 120 gidditdid, 120 sidditdid, 120 idtid
Faces4800 triangles, 1440 pentagons, 1440 pentagrams, 1200 hexagons, 1440 decagons, 1440 decagrams
Edges7200+7200
Vertices3600
Vertex figureWindowed rectangular frustrum
Measures (edge length 1)
Circumradius
Related polytopes
ArmySemi-uniform Xhi
RegimentAffixthi
ConjugateNone
Abstract & topological properties
Euler characteristic–120
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The great invertifrustary tetrishecatonicosihexacosichoron, or gifuthix, is a nonconvex uniform polychoron that consists of 120 dodecadodecahedra, 600 octahedra, 120 great ditrigonal dodecicosidodecahedra, 120 small ditrigonal dodecicosidodecahedra, and 120 icosidodecatruncated icosidodecahedra. One dodecadodecahedron, one octahedron, two great ditrigonal dodecicosidodecahedra, two small ditrigonal dodecicosidodecahedra, and four icosidodecatruncated icosidodecahedra join at each vertex.

Vertex coordinates[edit | edit source]

Its vertices are the same as those of its regiment colonel, the antifrustary hexacositrishecatonicosachoron.

External links[edit | edit source]