Grand ditetrahedronary cubiprismatohecatonicosachoron

Grand ditetrahedronary cubiprismatohecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtacphi
Elements
Cells	120 gissid, 600 cube, 720 stip
Faces	3600 squares, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Number of pieces	206520
Level of complexity	641
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sidtacphi
Abstract properties
Euler characteristic	600
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The grand ditetrahedronary cubiprismatohecatonicosachoron, or gadtacphi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 600 cubes, and 720 pentagrammic prisms. Four great stellated dodecahedra, eight cubes, and twelve pentagrammic 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" (#862).