Title: The New Euler's Formula of the Crossed DNA Polyhedral Links
Abstract: The Euler's formula for polyhedra displays the geometric properties of polyhedral structures, while the new Euler's formula for DNA polyhedra reveals the intrinsic properties of these novel structures, and offers an important tool for the description and study of the DNA polyhedra. In this paper, we focus on the crossed DNA polyhedral links, study their topological properties including the number of Seifert circles and the new Euler's characteristic, and get the expressions of their new Euler's characteristics. The study extends the new Euler's formula to more kinds of DNA polyhedra and provides theoretic foundations to the design and synthesis of more complex DNA polyhedra.
Publication Year: 2013
Publication Date: 2013-01-01
Language: en
Type: article
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Cited By Count: 2
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