Ditetrahedronary cubitrishecatonicosachoron

Ditetrahedronary cubitrishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Dittacthi
Elements
Cells	120 compounds of five cubes, 120 great stellated dodecahedra, 120 dodecahedra, 120 rhombidodecadodecahedra
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600
Vertices	600
Measures (edge length 1)
Circumradius	${\sqrt {2}}\approx 1.41421$
Number of external pieces	74520
Level of complexity	161
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Ditetrahedronary cubitrishecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	2520
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The ditetrahedronary cubitrishecatonicosachoron, or dittacthi, 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, 120 dodecahedra, and 120 rhombidodecadodecahedra. Eight cubes (or four compounds), four great stellated dodecahedra, four dodecahedra, 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" (#833).