Grand ditetrahedronary prismatocubihexacosichoron

Grand ditetrahedronary prismatocubihexacosichoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gadtapicax
Elements
Cells	600 tetrahedra, 120 compounds of five cubes, 1200 triangular prisms
Faces	2400 triangles, 3600 squares
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {10}}-{\sqrt {2}}}{2}}\approx 0.87403$
Number of external pieces	106800
Level of complexity	289
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Small ditetrahedronary prismatocubihexacosichoron
Abstract & topological properties
Flag count	86400
Euler characteristic	600
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand ditetrahedronary prismatocubihexacosichoron, or gadtapicax, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), and 1200 triangular prisms. Four tetrahedra, eight cubes (or four compounds), 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).