Upper Bound for Ropelength of Pretzel Knots

Authors

Safiya Moran, Columbia College, South CarolinaFollow

Abstract

A model of the pretzel knot is described. A method for predicting the ropelength of pretzel knots is given. An upper bound for the minimum ropelength of a pretzel knot is determined, and shown to improve on existing upper bounds.

Author Bio

My name is Safiya Moran and I am a third-year student at Columbia College in South Carolina. Columbia College is a small liberal arts women's college. I am a math major. This past summer I participated in an REU at CSUSB. The focus of the REU was combinatorics and knot theory. I chose to do research in knot theory. Although I plan to pursue a career in mathematics, I also enjoy to dance and to teach dance.

Faculty Sponsor

Rollie Trapp

Recommended Citation

Moran, Safiya (2006) "Upper Bound for Ropelength of Pretzel Knots," Rose-Hulman Undergraduate Mathematics Journal: Vol. 7: Iss. 2, Article 8.
Available at: https://scholar.rose-hulman.edu/rhumj/vol7/iss2/8