Grand retroditetrahedronary trishecatonicosachoron

Grand retroditetrahedronary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gardatathi
Elements
Cells	120 gissid, 120 gidtid, 120 gaddid
Faces	2400 triangles, 720 pentagons, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\frac {{\sqrt {10}}-{\sqrt {2}}}{2}}\approx 0.87403$
Number of external pieces	55800
Level of complexity	147
Related polytopes
Army	Hi
Regiment	Gadtaxady
Conjugate	Small intercepted ditetrahedronary trishecatonicosachoron
Abstract & topological properties
Flag count	100800
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand retroditetrahedronary trishecatonicosachoron, or gardatathi, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 120 great ditrigonary icosidodecahedra, and 120 great dodecicosidodecahedra. Four great stellated dodecahedra, four great ditrigonary icosidodecahedra, and twelve great dodecicosidodecahedra 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" (#866).

• Klitzing, Richard. "gardatathi".