A new class of stuck unknots in Pol6

Research output: Contribution to journalArticle

Abstract

We consider embedding classes of hexagonal unknots with edges of fixed length. Cantarella and Johnston [3] recently showed that there exist "stuck" hexagonal unknots which cannot be reconfigured to convex hexagons for suitable choices of edge lengths. Here we uncover a new class of stuck unknotted hexagons, thereby proving that there exist at least five classes of nontrivial embeddings of the unknot. Furthermore, this new class is stuck in a stronger way than the class described in [3] .

Original languageEnglish (US)
Pages (from-to)301-306
Number of pages6
JournalBeitrage zur Algebra und Geometrie
Volume42
Issue number2
StatePublished - 2001

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology

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