DIRICHLET TESSELLATIONS and spider webs. “Plane pictures of three-dimensional convex polyhedra, plane sections of three-dimensional Dirichlet tessellations, and flat spider webs with tension in all the threads are essentially the same geometric object. At the root of this remarkable coincidence is a single geometric diagram that permits us to offer a unified image of the connections among these and other objects.”
http://link.springer.com/chapter/10.1007%2F978-0-387-92714-5_18