Great invertidipentary hexacosihecatonicosidishecatonicosachoron

Great invertidipentary hexacosihecatonicosidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gide pixhidy
Elements
Cells	120 gad, 600 tut, 120 ided, 120 gaddid
Faces	2400 triangles, 1440 pentagons, 1440 pentagrams, 2400 hexagons, 720 decagrams
Edges	3600+3600
Vertices	1440
Measures (edge length 1)
Circumradius	${\sqrt {4-{\sqrt {5}}}}\approx 1.32813$
Related polytopes
Army	Semi-uniform Tex
Regiment	Gidipthi
Conjugate	Small invertidipentary hexacosihecatonicosidishecatonicosachoron
Abstract & topological properties
Flag count	172800
Euler characteristic	1680
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great invertidipentary hexacosihecatonicosidishecatonicosachoron, or gide pixhidy, is a nonconvex uniform polychoron that consists of 120 great dodecahedra, 600 truncated tetrahedra, 120 icosidodecadodecahedra, and 120 great dodecicosidodecahedra. One great dodecahedron, five truncated tetrahedra, five icosidodecadodecahedra, and five great dodecicosidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1100).