Diretroditetrahedronary prismatodishecatonicosachoron

Diretroditetrahedronary prismatodishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Dard tipady
Elements
Cells	120 gissid, 720 pip, 120 raded
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Gidard tipady
Abstract properties
Euler characteristic	2520
Topological properties
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Feral
Discovered by	{{{discoverer}}}

The diretroditetrahedronary prismatodishecatonicosachoron, or dard tipady, is a nonconvex uniform polychoron that consists of 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 rhombidodecadodecahedra. Four great stellated dodecahedra, twelve pentagonal prisms, and twelve rhombidodecadodecahedra 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" (#830).