Ditetrahedronary cubiprismatodishecatonicosachoron

Ditetrahedronary cubiprismatodishecatonicosachoron
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Datcapady
Elements
Cells	600 cube, 120 gissid, 120 did, 720 pip
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	$\sqrt2 \approx 1.41421$
Number of pieces	103320
Level of complexity	203
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Gidtacpady
Abstract properties
Euler characteristic	1920
Topological properties
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild
Discovered by	{{{discoverer}}}

The ditetrahedronary cubiprismatodishecatonicosachoron, or datcapady, is a nonconvex uniform polychoron that consists of 600 cubes, 120 great stellated dodecahedra, 120 dodecadodecahedra, and 720 pentagonal prisms. Eight cubes, four great stellated dodecahedra, six dodecadodecahedra, and twelve pentagonal prisms 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" (#826).