Hi Peter,
A little more detail to my earlier response:
There is a smooth homotopy between a pair of nested buckyballs and a torus. Please see:
http://mathworld.wolfram.com/TruncatedIcosahedron.html
On Jan. 22, 2011 @ 16:15 GMT , I wrote the following to Steve Dufourny:
"Does the core of a Black Hole approach a singularity (I reason that a phisical infinity cannot exist within a finite observable universe), or does a lattice structure prevent its full and complete collapse? IMHO, the strongest lattice with the most proper symmetries is the Carbon-60 Buckyball (once again, realize that I am talking about a lattice built up from the very fabric of Spacetime). It is true that a sphere has the perfect symmetry, but a sphere is not a lattice - there are no lattice bonds to prevent gravity from crushing and deflating a perfect sphere.
The Buckyball might explain the non-collapse of the Black Hole core, but succesive radial layers of lattices would build one Buckyball inside of another Buckyball (with flipped symmetries). After about a thousand vertices, these layered Buckyballs will begin to resemble another lattice - the very strong Diamond lattice."
Perhaps a static Black Hole does build layers of nested and flipped buckyball lattices into a distorted (distorted at the center) diamond lattice as I suggested earlier. But perhaps spinning Black Holes crush and rotate successive layered pairs of buckyballs into tori, and layers of tori. These layers of tori may behave like spin-2 Gravitons and/or WIMP-Gravitons and/or GEM-Gravitons (or would that be Gravi-Electro-Magnetons?)
Also, I discussed tori on the last page of this attached article:
Ray Munroe, "Symplectic tiling, hypercolour and hyperflavor E12", Chaos, Solitons and Fractals 41 (2009) 2135-2138.
Have Fun!
Dr. Cosmic RayAttachment #1: CHAOS6407.pdf