Ditetrahedronary prismatocubidishecatonicosachoron

Ditetrahedronary prismatocubidishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Ditpacady
Elements
Cells	600 cube, 120 gissid, 720 pip, 120 ided
Faces	3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Number of pieces	88920
Level of complexity	195
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Gidtapacady
Abstract properties
Euler characteristic	3120
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The ditetrahedronary prismatocubidishecatonicosachoron, or ditpacady, is a nonconvex uniform polychoron that consists of 600 cubes, 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 icosidodecadodecahedra. Eight cubes, four great stellated dodecahedra, twelve pentagonal prisms, 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" (#839).