Small complex icosidodecahedron

Small complex icosidodecahedron
Rank	3
Type	Uniform
Space	Spherical
Notation
Bowers style acronym	Cid
Coxeter diagram	o5/3o3x5*a ()
Elements
Faces	12 pentagons, 20 triangles
Edges	30
Vertices	12
Vertex figure	Complex dipentagon
Measures (edge length 1)
Circumradius	$\sqrt{\frac{5+\sqrt5}{8}} \approx 0.95106$
Edge radius	$\frac{1+\sqrt5}{4} \approx 0.80902$
Central density	4
Related polytopes
Army	Ike
Regiment	Ike
Conjugate	Great complex icosidodecahedron
Convex core	Dodecahedron
Abstract & topological properties
Flag count	240
Properties
Symmetry	H3, order 120
Convex	No

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

It can be seen as a compound of ike and gad, with their edges coinciding and merging into tetradic edges.

External links

• Klitzing, Richard. "cid".

• Wikipedia Contributors. "Small complex icosidodecahedron".