Grand ditetrahedronary hecatonicosiprismatohecatonicosachoron

Grand ditetrahedronary hecatonicosiprismatohecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadathiphi
Elements
Cells	120 gissid, 1200 trip, 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	Sirdtapady
Abstract properties
Euler characteristic	3000
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral

The grand ditetrahedronary hecatonicosiprismatohecatonicosachoron, or gadathiphi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 1200 triangular prisms, and 120 quasirhombicosidodecahedra. Four great stellated dodecahedra, twelve triangular prisms, 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" (#875).

• Klitzing, Richard. "gadathiphi".