Grand ditetrahedronary prismatohecatonicosihexacosichoron

Grand ditetrahedronary prismatohecatonicosihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtaphix
Elements
Cells	600 tet, 1200 trip, 120 gird
Faces	2400 triangles, 3600 squares, 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	Sadtaphix
Abstract properties
Euler characteristic	1800
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The grand ditetrahedronary prismatohecatonicosihexacosichoron, or gadtaphix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 1200 triangular prisms, and 120 great rhombidodecahedra. Four tetrahedra, 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" (#879).