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Old 11-21-12, 09:54 AM   #2
jugglerjosh
Mr. Josh Weiner
 
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Join Date: Mar 2004
Location: New York City
Posts: 132
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Default Juggling: Using Synchronous State Transition Maps

Synchronous State Maps are employed with independent sites.

This means that one synchronous state transition map follows one site. For example, the dominant hand.

A second synchronous map follows a second site. For example, the secondary hand.

If you pause my video, each energy state node shows the possibilities, at that moment in time, for the site. An object can be thrown into the site, increasing it's number by one. An object can be thrown from the site, decreasing it's number by one. An object can be kept and thrown to another moment in time.

Juggling Example: Ball Juggling
[111] energy state means "3 balls juggled in one hand" (0,6)

I would like to add another ball to the site.

Option #1
If I then throw in a 4th ball, I can perform (8x,6) and then repeat (0,8).
[1111] energy state is now reached. "4 balls juggled in one hand".
Option #2
Alternately, I can perform (6,8x) and then repeat (0,8).
[1111] energy state is now reached. "4 balls juggled in one hand".

These transition choices are listed at the corresponding nodes.

I color coded the map for 1,2,3,4,5 objects being "siteswapped" at the site.
Red = 1. Orange = 2. Yellow = 3. Green = 4. Blue = 5.
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Josh Weiner
Juggling & Related Circus Arts
2005 Busker's Hall of Fame
The South Street Seaport NYC 1992-2008
MUNY 2005-present

Columbia University TC, Mathematics M.A. 2012
CCNY Mathematics B.A. 2007
CCNY Jewish Studies B.A. 2007

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Last edited by jugglerjosh; 11-21-12 at 10:08 AM. Reason: People want to know.
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