Twisting with Fibonacci

Document Type

Article - Open Access

Publication Title

The Harvard College Mathematics Review


Harvard University

Publication Date

Spring 2008

Abstract/ Summary

Determining when two links are equivalent is one of the central goals of knot theory. This paper describes the Conway polynomial, a link invariant that offers one approach to this problem. When calculating the Conway polynomial of the (n, 2) torus knots, we encounter the familiar patterns of Pascal's triangle and the Fibonacci sequence.