PUB - Publikationen an der Universität Bielefeld

Fullerene-like molecules may - in principle - include other polygons than just pentagons and hexagons. In this paper, two possible geometries for such fulleroids are discussed, both with exactly 260 ''atoms'' and consisting of pentagons and heptagons, only, exhibiting icosahedral symmetry. It is shown that they are the smallest such structures (easy), how they can be found and that - up to isomorphisms - they are the only two such structures with exactly that many atoms (more difficult and based on the Theory of Delaney Symbols), this way presenting a complete answer to a question raised by Patrick Fowler almost a year ago.