### 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 language | English (US) |
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Pages (from-to) | 301-306 |

Number of pages | 6 |

Journal | Beitrage zur Algebra und Geometrie |

Volume | 42 |

Issue number | 2 |

State | Published - 2001 |

### ASJC Scopus subject areas

- Algebra and Number Theory
- Geometry and Topology

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## Cite this

Toussaint, G. (2001). A new class of stuck unknots in Pol

_{6}.*Beitrage zur Algebra und Geometrie*,*42*(2), 301-306.