Grand retroditetrahedronary prismatodishecatonicosachoron

Grand retroditetrahedronary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gard tapady
Elements
Cells	120 gissid, 720 stip, 120 gird
Faces	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 prismatodishecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	1800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The grand retroditetrahedronary prismatodishecatonicosachoron, or gard tapady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagrammic prisms, and 120 great rhombidodecahedra. Four great stellated dodecahedra, 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" (#880).