Grand ditetrahedronary cubihexacosidishecatonicosachoron

Grand ditetrahedronary cubihexacosidishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtacaxady
Elements
Cells	120 gissid, 600 tet, 600 cube, 120 qrid
Faces	2400 triangles, 3600 squares, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sadticaxady
Abstract properties
Euler characteristic	3000
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The grand ditetrahedronary cubihexacosidishecatonicosachoron, or gadtacaxady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 tetrahedra, 600 cubes, and 120 quasirhombicosidodecahedra. Four great stellated dodecahedra, four tetrahedra, eight cubes, and twelve quasirhombicosidodecahedra 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" (#877).