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) |
|---|---|
| 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