Grand ditetrahedronary prismatohexacosidishecatonicosachoron

From Polytope Wiki
Jump to navigation Jump to search
Grand ditetrahedronary prismatohexacosidishecatonicosachoron
Rank4
TypeUniform
Notation
Bowers style acronymGadtapixady
Elements
Cells600 tet, 120 sidtid, 720 stip, 120 gird
Faces2400 triangles, 3600 squares, 1440 pentagrams, 720 decagrams
Edges3600
Vertices600
Measures (edge length 1)
Circumradius
Related polytopes
ArmyHi
RegimentGadtaxady
ConjugateSmall ditetrahedronary prismatohexacosidishecatonicosachoron
Abstract & topological properties
Flag count144000
Euler characteristic3600
OrientableNo
Properties
SymmetryH4, order 14400
ConvexNo
NatureWild

The grand ditetrahedronary prismatohexacosidishecatonicosachoron, or gadtapixady, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 small ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 great rhombidodecahedra. Four tetrahedra, four small ditrigonary icosidodecahedra, twelve pentagrammic prisms, 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]