### What have Dave and Crizzly been up to lately...

I figure this is a blog, so we should use it as such, no? :)

Latest endeavors with clubs include a lot of left hand passing patterns. Basically we're working off a handout I got at a juggling convention a while back. Some of the patterns I can recall at the moment include:

There's a couple three person patterns we had a chance to do where each person does something different. One easy example is where one person passes outside every other's (like an outside triangle), another does a feed between the other two, and the last does a 2count with one person, but receives clubs from alternating people.

We also did the 3 and 4 person 'clover leaf' or whatever from the IJA newsletter... that's pretty wild too...

Lesse... lately I've been obsessed with juggling trick "chains". Basically, related tricks like:

55550

5551

552

53

4

or:

5

64

753

8552

95551

a55550

...and so on. Obviously there are related chains for any number of balls too. So, one three ball chain would be 3, 42, 531, 6330 which relates to the four ball equivalent chain of 4, 53, 642, 7441, 84440, which relates to the five ball 5, 64, 753, 8552, 95551, a55550. We've been working thru these chains as drills for warmup and such, and discovering other chains of tricks along the way. At some point, I intend on putting a few of these on video for a 'starter pack of tricks', likely focussing on the five ball chains. Here are some other samples of chains for you to try out:

Three ball:

33, 42, 51, 60

33, 3531, 373131, 39313131, ...

51, 7131, 913131, b1313131, ...

Four ball:

44, 53, 62, 71, 80

53, 633, 7333, 83333, 933333, ...

53, 5551, 575151, 59515151, ...

71, 9151, b15151, ...

7171, 919131, b1b13131, ...

Five ball:

55, 64, 73, 82, 91, a0

5, 64, 663, 6662, 66661, 666660

55, 5753, 595353, ...

5555, 5753, 5951

73, 7571, 777171, 79717171, ...

91, b171, d17171, ...

9191, b1b151, d1d15151, ...

91, b171, b1b151, b1b1b131, b1b1b1b111

(notice this is an intersecting chain to the above two)

One can also make interesting chains by taking a large half-shower (say, the seven ball "95"), and repeating enough times to be able to drop one digit to a '1' by removing a ball. OK, that reads confusing, so let me give you an example:

The above examples could be applied twice to make the seven ball '95' into a 5 ball variant like "9191" and "95951515" (which is a really fun trick to do, btw!), or "95159515" (which is really "9515" twice), or "15959515" (which is a rotation of the first one).

So, I like '73', and applying the above methods, one can get a four ball versions like '71', '7333', '737313' and so on, and then take each of those and apply yet another chaining method such as:

71, 9151, b15151, ...

737313, 93931313, ...

(4, 53, 633,) 7333, 83333, 933333, ...

all of which can get a reduction as well, ie:

9151 -> 5151

b15151 -> b13131

737313 -> 731313

93931313 -> 93131313

83333 -> 33333

...obviously, some lead to trivialities, but then that's expected. :)

A real simple example of this would be taking the basic six ball pattern '666' and removing a single ball to make the five ball pattern '663'... removing another ball yields '633', and yet another leads to '333'... one could follow that down and do three-with-a-hole as '330', and one-in-a-three-pattern as '300', and ultimately no balls doing a '000' which you are doing right now in fact! ;)

So, yeah, have some fun with those ideas. I know it's kinda math heavy, but then, I

__a math major in college... lol! If you have questions, just hit me up at the next meeting or invite me out to a chai or somesuch -- I'd be happy to explain it in terms that will help make more sense for you! :D__

**was**Cheers! --Crizzly

Labels: Technical_Siteswap

## 3 Comments:

Cool stuff Crizzly. Could you explain why a trick belongs in a particular chain and why another doesn't. In other words, what is the definition of a chain that you use for organizing or searching for them?

Ah.. tricks can exist in multiple chains. Basically a chain is more a series of tricks created by rule X -- whatever that rule happens to be.

One rule may be "increase the first digit by one and tack on a 'n-1' digit to the end". That can give this sequence for 5 balls: 5, 64, 744, 8444, 94444, ....

Another rule may by something like "take N balls. first digit is N+A, last is N-A. to make that work, put A-1 'N' digits between the first and last digit". As one increases A from 0 to N, where N=5 balls, it gives the sequence: 5, 64, 753, 8552, 95551, a55550

So, one can create any sort of rule that they observe working, and fill in the chain accordingly... ie: find a trick you like, notice one that has a similar build or feel to it, and figure out the rule it's following so you can find others to try out that are similar enough you should be able to get them easily (if you can do the first one(s) already of course).

Hope that adds some clarification... I know it's math heavy and even math-centric in concept, but I'm trying to express it in a way that the average siteswap juggler could find amusing/useful...

Cheers!

I guess the point I didn't mention clearly is that all tricks have some chain of related tricks associated to them. Thus, picking your trick of choice, you should be able to find related tricks both with the same number of balls, and with more/less balls too.

Let's take one trick you liked '534'. Clearly it's actually two tricks concatenated -- '53' and '4', but that doesn't matter. In looking for more tricks in that vein to do, one could come up with the following related trick chains:

201, 312, 423, 534, 645, 756, 867, ...

504, 534, 564, 594, ...

531, 534, 537, 53a, ...

234, 534, 834, b34, ...

534, 537531, 53a531531, ...

534, 564504, 594504504, ...

534, 834234, b34234234, ...

...and so on. Of course, if you approached it as seperate tricks concatenated, you can get related chains for each piece as well. Tons of possibilities, stemming from any trick you prefer! :)

Cheers!

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