Mathematical Properties of Juggling Patterns

Abstract

In this report we study the mathematical properties of juggling. Juggling patterns can be described in mathematical terms that allow us to analyze their properties. We focus on transitioning, or switching, between patterns with an equal number of balls and then go into more depth on transitioning between patterns with different numer of balls. Also we looked into enumerating specific threads, or infinite lists, of juggling sequences in order to categorize them.