Grand ditetrahedronary prismatocubihexacosichoron

Grand ditetrahedronary prismatocubihexacosichoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtapicax
Elements
Cells	600 tet, 600 cube, 1200 trip
Faces	2400 triangles, 3600 squares
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Number of pieces	106800
Level of complexity	289
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sidtapicax
Abstract properties
Euler characteristic	600
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The grand ditetrahedronary prismatocubihexacosichoron, or gadtapicax, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 600 cubes, and 1200 triangular prisms. Four tetrahedra, eight cubes, and twelve triangular 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" (#861).