Great pental dishecatonicosintercepted hecatonicosachoron

Great pental dishecatonicosintercepted hecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gipdohiny
Elements
Cells	120 sissid, 120 qrid, 120 quit gissid
Faces	2400 triangles, 1800 squares, 1440 pentagrams, 720 decagrams
Edges	3600
Vertices	720
Measures (edge length 1)
Circumradius	$\sqrt{5-2\sqrt5} \approx 0.72654$
Number of external pieces	30240
Level of complexity	60
Related polytopes
Army	Rox
Regiment	Rigfix
Conjugate	Sirphinady
Convex core	Hecatonicosachoron
Abstract & topological properties
Euler characteristic	3120
Orientable	Yes
Properties
Symmetry	H4, order 14400
Convex	No
Nature	Wild

The great pental dishecatonicosintercepted hecatonicosachoron, or gipdohiny, is a nonconvex uniform polychoron that consists of 120 small stellated dodecahedra, 120 quasirhombicosidodecahedra, and 120 quasitruncated great stellated dodecahedra. Two small stellated dodecahedra, ten quasirhombicosidodecahedra, and ten quasitruncated great stellated dodecahedra join at each vertex.

Gallery

Vertex coordinates

The vertices are the same as those of the regiment colonel, the rectified great faceted hexacosichoron.

External links

• Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#131).