Retroinverted ditetrahedronary prismatotrishecatonicosachoron

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

Retroinverted ditetrahedronary prismatotrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ridtapthi
Elements
Cells	120 sidtid, 120 did, 720 pip, 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	Great retroinverted ditetrahedronary prismatotrishecatonicosachoron
Abstract & topological properties
Flag count	158400
Euler characteristic	4800
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" (#846).