Great ditetrahedronary prismatocubidishecatonicosachoron

Great ditetrahedronary prismatocubidishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gidtapacady
Elements
Cells	120 compounds of five cubes, 120 dodecahedra, 720 pentagrammic 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	73680
Level of complexity	153
Related polytopes
Army	Hi
Regiment	Dattady
Conjugate	Ditetrahedronary prismatocubidishecatonicosachoron
Abstract & topological properties
Flag count	144000
Euler characteristic	3120
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great ditetrahedronary prismatocubidishecatonicosachoron, or gidtapacady, is a nonconvex uniform polychoron that consists of 600 cubes (lying in the same hyperplanes, forming 120 compounds of five cubes), 120 dodecahedra, 720 pentagrammic prisms, and 120 icosidodecadodecahedra. Eight cubes (or four compounds), four dodecahedra, twelve pentagrammic 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" (#840).