Paul Klimek invented the notation (or an equivalent) first and called it "Quantum Juggling". Bengt and Boppo invented it at the same as us, and they called it

Paul Klimek invented the notation (or an equivalent) first and called it "Quantum Juggling". Bengt and Boppo invented it at the same as us, and they called it SiteSwap, and while we never named it, others referred to it as "The Cambridge Notation." But the name SiteSwap has stuck. As you juggle you throw the balls (or other objects to yourself, but in the future. In the standard pattern you're always throwing things the same height, and hence the same distance into the future. But you can throw things different distances into the future. The trick is then to make sure you don't get more than one thing landing at the same time[0]. So you take a collection of throws and permute their landing times. Thus you have swapped the (temporal) landing sites. Hence SiteSwap. [0] In the simplest and original version of the notation. Enhancements now allow for all the variations you can think of.