Grand ditetrahedronary cubiprismatodishecatonicosachoron

Grand ditetrahedronary cubiprismatodishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtacapady
Elements
Cells	120 gissid, 600 cube, 1200 trip, 120 gaddid
Faces	2400 triangles, 3600 squares, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Number of pieces	55800
Level of complexity	147
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sidtacpady
Abstract properties
Euler characteristic	3120
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand ditetrahedronary cubiprismatodishecatonicosachoron, or gadtacapady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 cubes, 1200 triangular prisms, and 120 great dodecicosidodecahedra. Four great stellated dodecahedra, eight cubes, twelve triangular prisms, and twelve great dodecicosidodecahedra 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" (#871).