In mathematics and the arts, two quantities are in the golden ratio if the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one. That ratio is 1.61803398875

The rhombic triacontahedron is a convex polyhedron with faces that are all golden rhombi. In the Rhombic Triacontahedron the dihedral angle between any two adjacent rhombi is 144°, which is twice the isosceles angle of a golden triangle and four times its most acute angle.