Great retroinverted ditetrahedronary prismatotrishecatonicosachoron

Great retroinverted ditetrahedronary prismatotrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gridtapthi
Elements
Cells	120 gidtid, 120 did, 720 stip, 120 ri
Faces	1200 triangles, 3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Retroinverted ditetrahedronary prismatotrishecatonicosachoron
Abstract & topological properties
Flag count	158400
Euler characteristic	4800
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great retroinverted ditetrahedronary prismatotrishecatonicosachoron, or gridtapthi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 dodecadodecahedra, 720 pentagrammic prisms, and 120 rhombicosahedra. Four great ditrigonary icosidodecahedra, six dodecadodecahedra, twelve pentagrammic prisms, and twelve rhombicosahedra join at each vertex.

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 18: Ditetrahedrals" (#847).