Rhombicicosahedron was discovered by Fedorov in 1885.

It belongs to a family of isohedral rhombic polyhedra that consists of prolate and obtuse rhombohedron. It is a convex polyhedra.

The faces of a rhombicicosahedron is made up of solids congruent rhombs whose diagonals are in golden ratio (also called as Golden Rhombi). A rhombicicosahedron can be constructed by gluing 5 rhombohedra of each kind.

A Rhombicicosahedron with edge length  ‘a’ has Surface area and Volume as :

S = 8√5 a2

V = 2√(5+2√5) a3