Great complex icosidodecahedron

Great complex icosidodecahedron
Rank	3
Type	Uniform
Notation
Bowers style acronym	Gacid
Elements
Faces	12 pentagrams, 20 triangles
Edges	30
Vertices	12
Vertex figure	Complex dipentagon
Edge figure	Tetrad
Measures (edge length 1)
Circumradius	${\sqrt {\frac {5-{\sqrt {5}}}{8}}}\approx 0.58779$
Edge radius	${\frac {{\sqrt {5}}-1}{4}}\approx 0.30902$
Central density	10
Related polytopes
Army	Ike
Regiment	Sissid
Conjugate	Small complex icosidodecahedron
Convex core	Icosahedron
Abstract & topological properties
Flag count	240
Properties
Symmetry	H3, order 120
Convex	No

The great complex icosidodecahedron, or gacid, is a uniform exotic polyhedroid. It has 12 pentagrams and 20 triangles as faces, with 5 of each at a vertex.

It can be seen as a compound of great icosahedron and small stellated dodecahedron, with their edges coinciding and merging into tetradic edges.

External links

• Klitzing, Richard. "gacid".

• Wikipedia contributors. "Great complex icosidodecahedron".