Great retroinverted ditetrahedronary trishecatonicosachoron

Great retroinverted ditetrahedronary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gridtathi
Elements
Cells	120 sidtid, 120 doe, 120 ided
Faces	1200 triangles, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Number of external pieces	72600
Level of complexity	173
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Great retroditetrahedronary trishecatonicosachoron
Abstract & topological properties
Flag count	100800
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great retroinverted ditetrahedronary trishecatonicosachoron, or gridtathi, is a nonconvex uniform polychoron that consists of 120 small ditrigonary icosidodecahedra, 120 dodecahedra, and 120 icosidodecadodecahedra. Four small ditrigonary icosidodecahedra, four dodecahedra, and twelve icosidodecadodecahedra 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" (#835).

• Klitzing, Richard. "gridtathi".