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I believe that mike published on the mathematics of juggling before
I have... and done several math of juggling shows. The best idea from this is that mathematics can create new things that didn't exist before... the 441 and 531 are great examples. Even though juggling has existed for 4000 years, these patterns were unknown until math showed they should be possible. Jugglers around the world call these patterns by their numerical names. The 441 is one of the most beautiful juggling patterns. GO math!