Molecular design of Goldberg polyhedral links

A new method for understanding the construction of polyhedral links has been developed on the basis of the novel structure of HK97 capsid and the classification of Goldberg polyhedra. Polyhedral links, the interlinked and interlocked architectures, have been solved by analyzing and characterizing the topological structure of the two types of polyhedral links, which are Rn+1=Rn+10(2n+1) and Rn+1=Rn+20n. Where, n=1,2,…, R1=12 and R represents the number of the interlocked rings. Our results show that these two types of polyhedral links both have I symmetry and therefore are said to possess chirality.