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期刊论文

Extended Goldberg polyhedral links with odd tangles

邱文元Guang HU and Wen-Yuan QIU*

MATCH Commun. Math. Comput. Chem. 61(2009)753-766,-0001,():

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摘要/描述

This paper extends the methodology of the construction of polyhedral links by tangles in knot theory. Building blocks consist of odd tangles which are regions in the projection plane with 2n+1 half-twist, where n is an integer. Fixing odd tangles at the all vertices of Extend Goldberg polyhedra, and then connect them together will result in many interlocked networks. The solution to the component algorithm of 4-regular polyhedral links has been proposed. Our result shows, by counting the length of central circuits of a polyhedron, the component number of the relating polyhedral link will be presented. Using such topological models, some potential significance in biological and chemical areas is tested to be explored.

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