The general tiling rule worked out by Chuang allows that the underlying graphitic honeycomb lattice is tilted by a suitable angle with respective to the edges in the overall polygonal torus. But these kinds of structures usually contain a lot of carbon atoms. It is tedious to weave them out. Here is one of the simplest structure that has tilted graphitic lattice. The price is that we have to use 4-gons in the outer surface and 8-gons in the inner surface of torus, which is not easy to see in this picture.
created by Chuang.