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Really great explanation of the code... almost made me get out my linear algebra textbook.

But seriously, anyone who actually juggles could tell you that the person you rendered isn't doing it right. The balls should cross in an X pattern, not go around in a circle.

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> The balls should cross in an X pattern, not go around in a circle.

I can only juggle 3 balls, but I use pretty much the same technique as the animation. Throw balls from left to right in a small arch, and balls from right to left above that in a larger arch.

Though I learned how to juggle from a hippy leaflet I got from the Loompanics catalog, so perhaps I'm not doing it right.

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