Chuang has also discovered a whole family of carbon tori consisted of 5 octagons in the inner-rim and 10 pentagons in the outer-rim. I do not exactly know if anybody has reported this kind of structures or not. But according to Chuang some Japanese should have known this type of structures, since they have described this kind of structures in a vague way.
The following picture shows the first beaded torus (with 140 carbons) belonging to this family. This picture is made by a scanner. It is not easy to see the inner-rim structure though.