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HOW TRICKS ARE COUNTED ON THIS SITE

Okay - you're probably wondering how I can claim that there are MILLIONS of tricks on this site while you can only find several hundred Parent tricks. Initially, I was going to have the database compute this but it got a bit tricky - and spendy. A basic calculation of a few hundred thousand comes about this way:

First, multiply the # of throws that can be used to make a variation of a given trick times the number of catches that can be used to make a variation of a given trick to figure out the number of variations available under a given Parent trick for the ball version.
Second, do the same thing for the club, ring, and bounce versions (if any).
Third, add variations that are not listed as separate tricks.

In summary, calculate like this:

(# catches X # throws + ball version) +
(# catches X # throws + bounce version) +
(# catches X # throws + club version) +
(# catches X # throws + ring version) +
variations not listed as separate tricks =
# of tricks per posting

Each posting has a different number of variations that it can produce so all postings are then added together, creating hundreds of thousands of unique juggling tricks. This does not consider variations created by siteswap modifications, nor does it consider variations of body positions, stacking, or other variations.

If you are clever, you probably realized that this is not an accurate method of counting - there would be some duplication - for instance, Rubensteins Revenge and Mills Mess can both be described in terms of a variation of the Cascade (Rubensteins Revenge is a Chop/Orbit in one hand followed by a Reverse Chop in the same hand and Mills Mess is simply a series of Reachover and Reachunder throws and catches). Thus, these two tricks are independently posted tricks but those same variations should show up under the Cascade as well!
However
, this will produce only a handful of duplications and is negligible as a practical matter - and this doesn't even begin to match the number of tricks that have NOT been included under the vague number that you just clicked on.

That is, if you are REALLY clever, you probably also noticed that there are more tricks on this site than this computation allows for. My calculation only considers that there is one normal throw and one normal catch for each given trick that could be used as variations. Clearly, this is not the case in many instances. Even fancy tricks like Rubensteins Revenge allow for at least two normal catches in a row. Mathematically speaking, this would account for an exponentially higher number of variations.

In order to figure out the precise number of tricks considered as I just explained, I would have to make a mathematically based throw by throw and catch by catch calculation for every trick - a massive undertaking that I'll leave to Ben Beaver if he would like to help me out!

Even ignoring that technicality - and moving on to a simpler issue - there are more tricks considered via this website than any reasonable calculation could allow for - an UNLIMITED NUMBER OF TRICKS!
For instance, as I note under Blind Moves, every trick on this page could be performed with your eyes closed - this would double the amount of tricks that you could perform.
Similarly, if you balanced an object on your forehead while doing a trick, this could also be considered different than just doing the trick without the object balanced on your forehead. Therefore, you could double the number of tricks again.
This kind of variation could go on with an infinite number of variations - juggling a trick on a pogo stick, on a unicycle, on a rola bola, while spinning a ring around your arm, while spinning two rings, etc. etc. etc.
As this genre of variations leads to infinity, it seemed more reasonable to simply say "unique juggling tricks by the millions."

Meanwhile,
as you were reading this page,

someone out there was juggling

and probably came up with a new trick that neither of us has ever considered before

so

quit wasting your time reading this theoretical mumbo jumbo ...

and get back to juggling !!!


 


 

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