Re: drawing a valid siteswap

at dot drenidium wrote:
Guy G wrote:

Then put the first ball 2 beats out of the hand, in the appropriate orbit place, the next 1 beat, and the final one in the hand.

Thanks. This was one part I was strugging with


So, as an example, let's take 531:

3 balls, 3 separate orbits, two orbits consisting of 51, and going in opposite directions, and one consisting of 3.

Draw them out. Split the 51 orbit into 6 segments (1 for the hand across, and 5 for the throw), and do the same with the 3 orbit (6 segments, because it takes 33 to get back to the same hand).

The 5 is thrown first, so put it out of the hand by two segments, put the 3 out of the other hand by 1 segment, and put the 1 in the hand (about to be thrown across).

Perfect thanks again. I think the dwell time for the ball throwing the 1
is shorter than the rest just because in 531 they should all peak, if I'm not mistaken, at the same
time. (this would put the 1 in the air, recently thrown, instead of about to be thrown.)

Indeed. You can split the orbits into any arbitrary number of segments. If you split them into the number of beats in a full orbit (6 in the above example), you will never get a point at the peak - so the 1 will jump from one hand to the other. You could of course split the orbits into 12 points, and you would find that all three balls peaked at the same time.

I would imagine that that will work. What I really don't understand is why on earth you would want to do this.

lol. I'm finding this particular endeavor enjoyable.

That's as good a reason as any.

There are much better ways of understanding the patterns (ladder diagrams come to mind) and generally they will be less time consuming. Unless you are drawing someone juggling in a flickbook, it seems rather pointless.

Guy



It's pointless to reach up for avacados to pick if there are no avacados,
unless you're doing it to get a good stretch in which case it has great benefit on the serratus anterior
and latissimus dorsi and the fascia etc. :D

Actually to put it plainly I've learned a bit in the process whether or
not I end up drawing an accurate depiction of a siteswap. Like I never knew that the difference in heights
of a siteswap are not equal. In fact they appear to increase quadratically (a word I learned from an
inspiring club juggler at juggling club a couple of weeks ago). As I understand the word the meaning tied to siteswap says that a:
0=0
1=1
2=4
3=9
4=16
5=25 etc.

OK, this is kind of along the right lines. If you look at the standard equations of motion, you'll find that the distance (usually represented as s) is proportional to the time (t) squared. What siteswap denotes is the time before the ball is next thrown. What you need to know to find the relative heights is the time the balls are in the air, which depends on the dwell time. I would usually assume that the balls are in the air for a relative time of 1 less than their siteswap value, so a 3 is in the air for 2 beats etc.
So the height (i.e. distance thrown) is proportional to the time they are in the air squared. So you get:

3=4
4=9
5=16
6=25

which is probably a better match (obviously a 0 has no height, and by this rationale, neither does a 1 - which is not quite true, but is close enough. 2s are usually held anyway), since it makes 4s twice the height(ish) of 3s, and 5s four times as high.

If inches are used then it can be just a little less than fairly accurate
in the actual size of the pattern.
Another interesting shape that I came accross was a parabola and how
people actually go about drawing one. There's a trick with a string and a t-square and a pin...etc
etc
blablabla
Anyhow maybe now I'll get past pre-algebra ;p

-Daniel

Guy
.

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