Independent Minds, Working Together
knot drawing
 

Knot Theory

Wooster Mathematics Knot Theory Research

Sarah Smith-Polderman and David Freund

Faculty Advisors: Jennifer Bowen and John Ramsay (Mathematics)

We continued previous research in the study of Klein links. We drew and untangled 48 distinct Klein links to provide a catalogue from which to observe patterns in their construction and the resulting links. We also created digital versions of a small subset of these links and wrote a paper that will be used to introduce the Klein links to future researchers. Lastly, we proved a number of theorems, including a result that allows us to count the number of components in an arbitrary Klein link, and have prepared our results for publication.