Juggling is a largely mathematical exercise. The height, trajectory or arc of a throw, and the speed at which a ball will fall, can all be described using physics. (Not by me, but I’m sure a physicist wouldn’t have any trouble doing it!) Siteswap, a juggling notation, also describes juggling patterns in a very mathematical way, with the average of the sequence equalling the number of balls juggled in the pattern.
Over the years various jugglers have taken this mathematical aspect of juggling and extended it to include geometry with, most famously perhaps, Michael Moschen’s Juggling Triangle.
Michael Moschen’s Triangle
Moschen’s Triangle, first seen in the 1970s, is one of the most elegant juggling shapes and has been emulated ever since.