Grand ditetrahedronary prismatodishecatonicosihexacosichoron

Grand ditetrahedronary prismatodishecatonicosihexacosichoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gadtapdahix
Elements
Cells	600 tet, 120 gid, 720 stip, 120 gird
Faces	2400 triangles, 3600 squares, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {10}}-{\sqrt {2}}}{2}}\approx 0.87403$
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Small ditetrahedronary prismatodishecatonicosihexacosichoron
Abstract & topological properties
Flag count	144000
Euler characteristic	3600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand ditetrahedronary prismatodishecatonicosihexacosichoron, or gadtapdahix, is a nonconvex uniform polychoron that consists of 600 tetrahedra, 120 great icosidodecahedra, 720 pentagrammic prisms, and 120 great rhombidodecahedra. Four tetrahedra, six great icosidodecahedra, twelve pentagrammic 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" (#887).