More classes of stuck unknotted hexagons

Greg Aloupis, Günter Ewald, Godfried Toussaint

Research output: Contribution to journalArticlepeer-review


Consider a hexagonal unknot with edges of fixed length, for which we allow universal joint motions but do not allow edge crossings. We consider the maximum number of embedding classes that any such unknot may have. Until now, five was a lower bound for this number. Here we show that there exists a hexagonal unknot with at least nine embedding classes.

Original languageEnglish (US)
Pages (from-to)429-434
Number of pages6
JournalBeitrage zur Algebra und Geometrie
Issue number2
StatePublished - 2004

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Geometry and Topology


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