Since a head roll is a 3, he needed a five object pattern with a 3 in it. He got it on the second or third try, and then did a neck roll, a single spin butterfly throw, and a chin sweep each on the first try. In summary, we have proposed a notation for juggling tricks that involve differing throw heights. It simplifies the description of these patterns. Look to the numbers instead, as the mathematical basis for this system leads to a large class of new tricks at all levels of difficulty.
Correspondence is welcome.
I prefer e-mail but also give my real address. Bruce Tiemann has a B.S. in chemistry from Caltech and now works there studying nonlinear optical materials. In addition to juggling numbers, so to speak, his other interests are amateur radio and building lasers. This paper is dedicated to the memory of Bengt Magnusson. May he now find the peace he did not in his life.