Mathematics – Combinatorics
Scientific paper
2008-04-14
Mathematics
Combinatorics
10 pages, submitted to the 11-th Bridges Conference (2008) on Mathematics and art
Scientific paper
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 article we derive some formulae for computing the number of possible juggling patterns with respect to certain ceiling types.
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