Re: A Rapture Of Siteswap (reprise)


Hi. Here's my two cents.


â?¢ cp = a colored period is the number of throws all colored balls
return to their position. For example, for pattern 53444, the cp is 30.
(to do: need math definition here).

The colored period of a siteswap is simply the lowest common multiple
of the sums of the throw heights of each orbit. So, for each orbit add
up the throw values and the lcm of these sums is the colored period.
If the result is odd, then you must double it to get the colored period
for a two handed juggler (just like jaapsch said).
As an example, consider 8884885. The orbits are 8884000 and 0000885.
The sum of the throws for each orbit is 28 and 21. The lcm of these is
94, which is therefore the colored period.


â?¢ in pattern 64645 (5 balls), there are 3 orbits, 2 distinct ones.
Essentially, a orbit of 2 balls are juggled by each hand independently,
and another orbit of a single ball goes from hand to hand. Here's a
notion where how many nodes a ball visits. A siteswap or orbit can be
classified by the number of nodes it visits, perhaps call it a degree.


I guess there's a little discrepancy about the definition of an orbit.
Here an orbit seems to mean the actual paths that the balls move through
in the air (with a two handed juggler juggling) and this isn't what
usually is meant by an orbit of a siteswap.


â?¢ device a simple visual representation of siteswap. Consider the
criss-cross diagram that comes with siteswap.

How about some nodes (corresponding to each throw) arranged in a
circle. Number the nodes clockwise with the siteswap's throws. Draw
arrows from each node to the node where that ball is thrown again. Now
you have a cool starish-like figure. =)



Drop happily,

-Miika


--

(btw, tämä oli seitsemästoista viestini)

----== posted via www.jugglingdb.com ==----

.

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