We consider embedding classes of hexagonal unknots with edges of fixed length. Cantarella and Johnston  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  .
|Original language||English (US)|
|Number of pages||6|
|Journal||Beitrage zur Algebra und Geometrie|
|State||Published - Dec 1 2001|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology