Ditetrahedronary prismatocubidishecatonicosachoron

Ditetrahedronary prismatocubidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Ditpacady
Elements
Cells	120 compounds of five cubes, 120 great stellated dodecahedra, 720 pentagonal prisms, 120 icosidodecadodecahedra
Faces	3600 squares, 1440 pentagons, 1440 pentagrams, 1200 hexagons
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Number of external pieces	88920
Level of complexity	195
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Great ditetrahedronary prismatocubidishecatonicosachoron
Abstract & topological properties
Flag count	144000
Euler characteristic	3120
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 (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 great stellated dodecahedra, 720 pentagonal prisms, and 120 icosidodecadodecahedra. Eight cubes (or four compounds), 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).