Great inverted retropental hecatonicosintercepted dishecatonicosachoron

Great inverted retropental hecatonicosintercepted dishecatonicosachoron
(OFF file)
Rank	4
Type	Uniform
Notation
Bowers style acronym	Girphinady
Elements
Cells	120 great icosahedra 120 truncated great dodecahedra 120 small icosicosidodecahedra
Faces	1440 pentagrams 2400 triangles 1200 hexagons 720 decagons
Edges	3600
Vertices	720
Measures (edge length 1)
Circumradius	${\sqrt {\frac {5+{\sqrt {5}}}{2}}}\approx 1.90211$
Number of external pieces	122520
Level of complexity	245
Related polytopes
Army	Rox
Regiment	Righi
Conjugate	Small pental dishecatonicosintercepted hecatonicosachoron
Convex core	Hecatonicosachoron
Abstract & topological properties
Flag count	115200
Euler characteristic	2040
Orientable	Yes
Properties
Symmetry	H4, order 14400
Flag orbits	8
Convex	No
Nature	Wild

The great inverted retropental hecatonicosintercepted dishecatonicosachoron, or girphinady, is a nonconvex uniform polychoron that consists of 120 great icosahedra, 120 truncated great dodecahedra, and 120 small icosicosidodecahedra. Two great icosahedra, ten truncated great dodecahedra, and ten small icosicosidodecahedra join at each vertex.

Gallery

Vertex coordinates

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

External links

• Bowers, Jonathan. "Category 5: Pentagonal Rectates" (#102).