Grand ditetrahedronary dishecatonicosiprismatohecatonicosachoron

Grand ditetrahedronary dishecatonicosiprismatohecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtad hiphi
Elements
Cells	120 gid, 120 ditdid, 1200 trip, 120 gird
Faces	2400 triangles, 3600 squares, 720 pentagons, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sard thipady
Abstract properties
Euler characteristic	4320
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand ditetrahedronary dishecatonicosiprismatohecatonicosachoron, or gadtad hiphi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 120 ditrigonary dodecadodecahedra, 1200 triangular prisms, and 120 great rhombidodecahedra. Six great icosidodecahedra, four ditrigonary dodecadodecahedra, twelve triangular prisms, and twelve great rhombidodecahedra 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" (#884).