Given this fascination with juggling, it is probably not surprising that mathematical jugglers have investigated what mathematics can be found in juggling. But before we embark on a tour of the …

The number of balls required to juggle a periodic juggling sequence is equal to its average.

Oct 9, 2022 · The ladder diagram of a juggling pattern keeps track of where each ball is throughout time. The x-axis is time, the y-axis is position between the left and right hands.

There, Claude E. Shannon created his juggling machines and formulated his juggling theorem, which set forth the relation between the position of the balls and the action of the hands.

For example, can balls be juggled so that the time period that each ball stays aloft alternates between five counts and one? The answer is “Yes.” Math also tells you that the number of …

So let's start with a quick review of classical juggling, and then see what new things we found, partly by accident, partly by hard work, and mostly because with mathematics we can see …

Most people think of juggling as keeping a number of objects in the air by alternately throwing and catching them. This is also the kind of juggling that we will be focusing on in this book. …