Great dipentary prismatodishecatonicosachoron

Great dipentary prismatodishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Gid pippady
Elements
Cells	120 sissid, 720 pip, 120 raded
Faces	3600 squares, 1440 pentagons, 1440 pentagrams
Edges	3600+3600
Vertices	1440
Vertex figure	Retrograde pentagonal cuploid, edge lengths (√5+1)/2 (pentagram base), (√5–1)/2 (pentagon base), and √2 (sides)
Measures (edge length 1)
Circumradius	${\sqrt {4-{\sqrt {5}}}}\approx 1.32813$
Related polytopes
Army	Semi-uniform Tex
Regiment	Gidipthi
Conjugate	Small dipentary prismatodishecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	–240
Orientable	No
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Tame

The great dipentary prismatodishecatonicosachoron, or gid pippady, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 720 pentagonal prisms, and 120 rhombidodecadodecahedra. One small stellated dodecahedron, five pentagonal prisms, and five rhombidodecadodecahedra join at each vertex.

Vertex coordinates

Its vertices are the same as those of its regiment colonel, the great dipentary trishecatonicosachoron.

External links

• Bowers, Jonathan. "Category 22: Gidipthi Regiment" (#1089).