Counting the Number of Site Swap Juggling Patterns with Respect to Particular Ceilings

**Speaker:** Carl Bracken (UCD)

**Time: **4:00PM

**Date: **Mon 4th February 2008

**Location:** Mathematical Sciences Seminar Room

**Abstract**

Site swap is a mathematical notation used by jugglers to communicate, create and study complex juggling patterns. Determining the number of possible site swap juggling patterns, with respect to certain limiting parameters such as number of balls etc., is a problem that has been much studied and solved by many mathematicians. However, when the patterns have a throw height restriction (ceiling) the problem becomes difficult and is, in general, still open. In this talk we derive some formulae for computing the number of

possible juggling patterns with respect to certain ceiling types.

(This talk is part of the Algebra/Claude Shannon Institute series.)

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