Exhibit: homotopic graph

A Spiegel article points to a new class of polyhedra described in an article "Fourth class of convex equilateral polyhedron with polyhedral symmetry related to fullerenes and viruses", by Stan Schein and James Gayed who have more material here.

From the graph theoretical point of view, the polyhedra are of course not new. What is new is the nature of the geometry of the embedding into Euclidean space realized by a finite class of congruent polygons. this page posted, February 14, 2014