Grand ditetrahedronary hecatonicosihexacosihecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Grand ditetrahedronary hecatonicosihexacosihecatonicosachoron
Gadathixhi card Bowers.jpeg
Rank4
TypeUniform
SpaceSpherical
Notation
Bowers style acronymGadathixhi
Elements
Cells120 gissid, 600 tet, 120 gaddid
Faces2400 triangles, 1440 pentagrams, 720 decagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Number of pieces58200
Level of complexity155
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSadthixhi
Abstract properties
Euler characteristic720
Topological properties
OrientableYes
Properties
SymmetryH4, order 14400
ConvexNo
NatureFeral
Discovered by{{{discoverer}}}

The grand ditetrahedronary hecatonicosihexacosihecatonicosachoron, or gadathixhi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 tetrahedra, and 120 great dodecicosidodecahedra. Four great stellated dodecahedra, four tetrahedra, and twelve great dodecicosidodecahedra 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]