Grand ditetrahedronary hecatonicosiprismatodishecatonicosachoron

Grand ditetrahedronary hecatonicosiprismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gadathipady
Elements
Cells	120 gid, 120 gidtid, 720 stip, 120 gird
Faces	2400 triangles, 3600 squares, 720 pentagons, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {10}}-{\sqrt {2}}}{2}}\approx 0.87403$
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Small ditetrahedronary hecatonicosiprismatodishecatonicosachoron
Abstract & topological properties
Flag count	158400
Euler characteristic	4800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand ditetrahedronary hecatonicosiprismatodishecatonicosachoron, or gadathipady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 great ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 great rhombidodecahedra. Six great icosidodecahedra, four great ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve great rhombidodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the grand ditetrahedronary hexacosidishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#883).