Great retroditetrahedronary prismatodishecatonicosachoron

The great retroditetrahedronary prismatodishecatonicosachoron, or gird tapady, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 720 pentagrammic prisms, and 120 rhombidodecadodecahedra. Four great ditrigonary icosidodecahedra, twelve pentagrammic prisms, and twelve rhombidodecadodecahedra join at each vertex.

Great retroditetrahedronary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gird tapady
Elements
Cells	120 gidtid, 720 stip, 120 raded
Faces	1200 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Retroinverted ditetrahedronary prismatodishecatonicosachoron
Abstract & topological properties
Flag count	129600
Euler characteristic	3720
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the ditetrahedronary dishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#829).