Senior Thesis

Department of Mathematics

Harvey Mudd College

Matthew Macauley

Harvey Mudd College Mathematics 2003

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Thesis: Braids and Juggling Patterns

Thesis Advisor: Prof. Michael Orrison
Second Advisor: Prof. Jim Hoste

Awarded Chavin Prize for Best Thesis



Braids and Juggling Patterns

There are several ways to describe juggling patterns mathematically using combinatorics and algebra. In my thesis I use these ideas to build a new system using braid groups. A new kind of graph arises that helps describe all braids that can be juggled.