Grand ditetrahedronary prismatocubidishecatonicosachoron

Grand ditetrahedronary prismatocubidishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtapacady
Elements
Cells	120 gissid, 120 gid, 600 cube, 1200 trip
Faces	2400 triangles, 3600 squares, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Number of pieces	336120
Level of complexity	1110
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sadtipacady
Abstract properties
Euler characteristic	2400
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The grand ditetrahedronary prismatocubidishecatonicosachoron, or gadtapacady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great icosidodecahedra, 600 cubes, and 1200 triangular prisms. Four great stellated dodecahedra, six great icosidodecahedra, eight cubes, and twelve triangular prisms 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" (#864).