Grand retroditetrahedronary dishecatonicosachoron

Grand retroditetrahedronary dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gardatady
Elements
Cells	120 great icosidodecahedra, 120 small ditrigonary icosidodecahedra
Faces	2400 triangles, 1440 pentagrams
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 retroditetrahedronary dishecatonicosachoron
Abstract & topological properties
Flag count	57600
Euler characteristic	600
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The grand retroditetrahedronary dishecatonicosachoron, or gardatady, is a nonconvex uniform polychoron that consists of 120 great icosidodecahedra and 120 small ditrigonary icosidodecahedra. Six great icosidodecahedra and four small ditrigonary icosidodecahedra 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" (#854).

• Klitzing, Richard. "gardatady".