Grand ditetrahedronary disprismatohecatonicosachoron

Grand ditetrahedronary disprismatohecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gadtadaphi
Elements
Cells	120 gid, 720 stip, 1200 trip
Faces	2400 triangles, 3600 squares, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\frac{\sqrt{10}-\sqrt2}{2} \approx 0.87403$
Number of pieces	489000
Level of complexity	1490
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Sidtadphi
Abstract properties
Euler characteristic	2400
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral
Discovered by	{{{discoverer}}}

The grand ditetrahedronary disprismatohecatonicosachoron, or gadtadaphi, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra, 720 pentagrammic prisms, and 1200 triangular prisms. Six great icosidodecahedra, twelve pentagrammic prisms, 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" (#859).