Great retroditetrahedronary trishecatonicosachoron

Great retroditetrahedronary trishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Grad tathi
Elements
Cells	120 gidtid, 120 gissid, 120 ided
Faces	1200 triangles, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Number of external pieces	67320
Level of complexity	163
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Great retroinverted ditetrahedronary trishecatonicosachoron
Abstract & topological properties
Flag count	100800
Euler characteristic	1920
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great retroditetrahedronary trishecatonicosachoron, or grad tathi, is a nonconvex uniform polychoron that consists of 120 great ditrigonary icosidodecahedra, 120 great stellated dodecahedra, and 120 icosidodecadodecahedra. Four great ditrigonary icosidodecahedra, four great stellated 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" (#836).

• Klitzing, Richard. "grad tathi".