Tight conformation of 2-bridge knots using superhelices

Youngsik Huh, Hyoungjun Kim, Seungsang Oh

Research output: Contribution to journalArticlepeer-review

Abstract

The ropelength is a mathematical quantity that regulates the tightness of flexible strands in the three-dimensional space. The superhelical conformation of long twisted strands is known to be more efficient in terms of ropelength compared with the circular double helical conformation. In this paper, we present a conformation of 2-bridge knots by using ropelength-minimizing superhelical curves and derive an upper bound on the ropelength of 2-bridge knots. Our superhelical model of 2-bridge knots is shown to be more efficient than the standard double helical one if the iterative twisted parts are long enough.

Original languageEnglish
Article number113504
JournalJournal of Mathematical Physics
Volume62
Issue number11
DOIs
Publication statusPublished - 2021 Nov 1

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics

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