The Topological Properties Of DNA Polyhedral Link

The variety of NDA polyhedron have been experimental synthesized, such as DNA tetrahedron, DNA cube, in recent year, complex molecular structure of DNA soccer has been experimental.In order to study and description of these NDA polyhedron mathematical and the nature.The polyhedral links model was widely used。Polyhedron link to a certain extent reveals the topological properties of DNA polyhedron. We study the DNA polyhedron link model with the mathematical topology, draw the DNA the polyhedral links in a number of relationship. In this paper, the main contents are as follows:1, DNA polyhedral links is configured model, first the DNA polyhedral links for the seifert constructed, and then double-layer changes for the seifert link diagram, you can visualize the process, after mathematical topology homeomorphic transform its deformation.Finally the simple structure of the polyhedral model, its compression to either take a plane within completion of the model structure2, Analysis the genus of the DNA construct model before and after the change, draw the number of new tectonic model loss, and then use the number of the seifert links, the number of branches and the number of genus relationship to study the two-lane coverage polyhedron the internal laws of the link between these quantities. The structure of this model, the study of DNA polyhedral links provides a more intuitive and simple idea.3On the n branches DNA polyhedral links, we analysis the genus exploration with this structural model and research through the use of cross-points between the seifert ring number, the number of branches and genus, combined with the structural model, which of DNA polyhedral links the genus, draw n branched DNA polyhedron inner links mathematical relationship. Provide a mathematical basis for DNA polyhedral links and provides a reference for the polyhedral theory...