Great complex icosidodecahedron

Great complex icosidodecahedron
Rank	3
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Gacid
Elements
Faces	12 pentagrams, 20 triangles
Edges	30
Vertices	12
Vertex figure	Complex dipentagon
Measures (edge length 1)
Circumradius	$\sqrt{\frac{5-\sqrt5}{8}} ≈ 0.58779$
Edge radius	$\frac{\sqrt5-1}{4} ≈ 0.30902$
Central density	even
Related polytopes
Army	Ike
Regiment	Sissid
Conjugate	Small complex icosidodecahedron
Convex core	Icosahedron
Abstract 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 gike and sissid, with their edges coinciding and merging into tetradic edges.

External links

• Klitzing, Richard. "gacid".

• Wikipedia Contributors. "Great complex icosidodecahedron".