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 language||English (US)|
|Number of pages||6|
|Journal||Beitrage zur Algebra und Geometrie|
|State||Published - Jan 1 2004|
ASJC Scopus subject areas
- Algebra and Number Theory
- Geometry and Topology