| Beiträge zur Algebra und Geometrie Contributions to Algebra and Geometry Volume 42 (2001), No. 2, 301-306. A New Class of Stuck Unknots in Pol6 (2008) | |||||||||||||||
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| 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]. 1. | |||||||||||||||
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