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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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