Topological Construction And Characteristics Of DNA Polyhedral Links

In this paper, the relations between three methods of constructing polyhedral links,’n-branched-curve and w-twisted double-line covering’,’n-cross-curve and m-twisted double-line covering’ and ’tangle-vertex and single-line covering’, are discussed. The connection between ’tangle-vertex and single-line covering’ and the syntheticism’star-motif’ is showed clearly. In this way the construction models of’branch-motif and ’star-motif’ are unified. Our results reveal the intrinsic properties of DNA polyhedra and provide new thoughts to DNA polyhedral design.