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Old 11-21-12, 10:10 AM   #1
jugglerjosh
Mr. Josh Weiner
 
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Default Juggling: Vanilla Siteswap Files

My newest video, November 15th, 2012.

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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

Just say no to drugs
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Old 11-24-12, 02:19 PM   #2
jugglerjosh
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Default Juggling: 6 Beanbags: Siteswap 8844

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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

Just say no to drugs
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Old 11-26-12, 05:38 PM   #3
jugglerjosh
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Default Excited Group Study 5[xxxx]3

This is my new video, November 26th, 2012.

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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

Just say no to drugs

Last edited by jugglerjosh; 11-27-12 at 09:29 PM.
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Old 12-02-12, 11:32 AM   #4
jugglerjosh
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Default Splicing 5[xxxx]3 AKA "State 23 Patterns"

In my last video, I shared the 5[xxxx]3 Group with contains 13 patterns of period 4 "string length". There are subgroups of these 13 patterns with periods {8,12,16}.

This video will explore the equivalence of 5[xxxx]3, also known as (AKA) state "23", with new entry patterns. The group itself is entered once the juggler returns to the excited energy state "23".

Define Variables:
Let I = The 4 ball fountain pattern (Identity Ground State)
Let G = Some ground state pattern (A Ground State Pattern begun in state "15" in binary) (For example: 53. 633. 73333. are four ball ground state patterns.)
Let E = A 5[xxxx]3 pattern, one of 13. (An Excited State 5[xxxx]3)

Let's first look at the ground state cycles:
53 is period 8. Performing 44444444(53535353)44444444 the identity(I) is preserved.
633 is period 6. This is 44444444(633633) the identity(I) is preserved.

When is energy "state 23" attained? That is "o-ooo" ball permutation in ascii.

53:
oooo
o-ooo (This "5" throw attains state "23" and we can enter [xxxx]3)

633:
oooo
o--ooo
o-ooo (This "63" sequence attains state "23" and we can enter [xxxx]3)

How can we use this?

We splice the ground state patterns where desired when at "state 23" and then enter the excited pattern for as many cycles as we like!

Example: 6262 (This is one of the 13 patterns)

This is an "easy" pattern to demonstrate, since it is 3 in one hand, holding the fourth in the secondary hand. I will not employ "hurried 2" throws, and will use the "hold 2" for this siteswap demonstration.

Since I am right hand dominant when I juggle, I will use the following sequences to demonstrate:

(4 Ball left hand start)
G(1) = 53535353
G(2) = 633633

53535353 5[6262 6262 6262]3 535353.
633 63[6262 6262 6262]3 633 633.

Notice that I used "5" immediately as the cycle starts on the first swap in the 53 splicing. This pattern is chiral, and I am doing "left-handed" 53 so that my "5" enters into 3 in one hand with my RIGHT hand. I then exit and resume G(1).

In the second sequence, I entered the excited state with a descending "3" state transition throw. Since I am a right dominant juggler, is used "633 63" to enter the excited state, and the exit "3" completes the cycle of the ground state pattern. I entered the excited state with a descending state transition throw. "633633" and I resume G(2).

This splicing method can be used for ANY EXCITED GROUP, as long as you map the sequences to the entrance node. In this case, that was the "23" or "o-ooo" state group.

Enjoy juggling!

Thanks for watching.

Siteswap Theory.
Study #2: The 5[xxxx]3 Group
Splicing Patterns
Identity, Ground State Patterns, Excited State Patterns

by Josh Weiner
Columbia TC
December 2012

Hire Josh!
Rates are reasonable.

jugglrjosh@aol.com
__________________
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

Just say no to drugs

Last edited by jugglerjosh; 12-02-12 at 08:38 PM.
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Old 12-03-12, 05:41 PM   #5
jugglerjosh
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Default Siteswap Theory: Group 5[xxxx]3 Study #2. Splicing.

PLease enjoy my latest Opus. This is the second study of Excited State Group 5[xxxx]3. Enjoy juggling.

December 3rd, 2012

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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

Just say no to drugs
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Old 12-05-12, 07:35 PM   #6
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Default

Notes: Study #2 has a few errors: [6262] * 6 is correct for both sequences, not [6262] * 3. Also, any ground state that transitions WITH STATE 23 can be SPLICED for group 5[xxxx]3. - JSMWNYC
__________________
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

Just say no to drugs
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Old 12-16-12, 11:24 PM   #7
jugglerjosh
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Join Date: Mar 2004
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Posts: 132
Blog Entries: 131
Default Juggling: 4 Ball Synchronous Analogs Study #1

A demonstration of analogs between "Vanilla Siteswap" and "Synchronous Siteswap" juggling systems.

__________________
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

Just say no to drugs
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Old 12-16-12, 11:30 PM   #8
jugglerjosh
Mr. Josh Weiner
 
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Join Date: Mar 2004
Location: New York City
Posts: 132
Blog Entries: 131
Default Juggling: 4 Ball Synchronous Analogs Study #2

A demonstration of analogs between "Vanilla Siteswap" and "Synchronous Siteswap" juggling systems.

__________________
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

Just say no to drugs
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