• Enumeration of planar Tangles

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    • Keywords


      Tangle; dual graph; polyomino; growth constant.

    • Abstract


      A planar Tangle is a smooth simple closed curve piecewise defined by quadrants of circles with constant curvature. We can enumerate Tangles by counting their dual graphs, which consist of a certain family of polysticks. The number of Tangles with a given length or area grows exponentially, and we show the existence of their growth constants by comparing Tangles to two families of polyominoes.

    • Author Affiliations



      1. Department of Mathematical Sciences, Piedmont College, P.O. Box 10, 1021 Central Avenue, Demorest, GA 30535, USA
    • Dates

  • Proceedings – Mathematical Sciences | News

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      Posted on July 25, 2019

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