This sphere explores how the five regular polyhedron relate to each other.   Sometimes it is their vertices, sometimes the sides and sometime the faces connect with each other.   I took the triangles of the octahedron, tetrahedron and the icosahedron and turned them into a torus (tori) form. The pentagons of the dodecahedron and the squares of the cube also were made into tori forms.   The smaller the number of sides the polyhedrons the thicker I made the torus. Each polyhedron was color coded so you could see them as the sphere turns.  They weave in and out of each other so they all get a chance to be out front some of the time.