"A regular icosahedron of edge length can be inscribed in a unit-edge-length cube by placing six of its edges—three orthogonal opposite pairs—on the square faces of the cube, centered on the face centers and parallel or perpendicular to the square's edges.[4] Because there are five times as many icosahedron edges as cube faces, there are five ways to do this consistently, so five disjoint icosahedra can be inscribed in each cube. The edge lengths of the cube and the inscribed icosahedron are in the golden ratio.[citation needed]
