List of siteswaps

From Wikipedia, the free encyclopedia
Siteswap beats shown as relative height[1][2]
<3p3|3p4|3p5|3p1|3p2><3|3|3|3|3><3|3|3|3|3><3|3|3|3|3>

Below is a list of siteswaps or juggling patterns by siteswap.

Toss juggling requires more balls than hands.[3] Thus tricks such as the one ball cascade toss back and forth, 300,[4] for example, may not be considered valid patterns. Throws back and forth shower style, odd numbers, are the most common one prop practice. Invalid or practice patterns and tricks are marked with an X.

The numbers are as follows:[5]

  • 0 = "missing"/rest [empty hand]
  • 1 = pass [between hands]
  • 2 = hold [one hand/no toss]
  • 3 = (3-ball) cascade toss [between hands]
  • 4 = (4-ball) fountain or columns toss [up and into same hand]
  • 5 = high toss [between hands]
  • ...
  • a = 10 = high columns/fountain toss
  • ...

Symbols:

  • Number: Relative height of a toss. 1, 2, 3...
  • Brackets []: Multiplex. [333]33.
  • Chevrons and vertical bar <|>: Simultaneous and passing patterns.
    • P: Pass. <333P|333P>
    • Fraction: Pass 1/y beats later. <4.5 3 3 | 3 4 3.5>
  • Parentheses (): Synchronous pattern.
    • *: Synchronous pattern that switches sides. (4,2x)(2x,4) = (4,2x)*
    • x: Toss to the other hand during a synchronous pattern.

Asynchronous[]

Animations

A pattern is symmetrical (S) if both hands play the same role and asymmetrical (A) if not. All asynchronous patterns whose periods are odd are symmetrical, and all asynchronous patterns whose periods are even are asymmetrical.

Juggling patterns by siteswap
Siteswap Name Props Period Symmetry
(S/A)
0
X		 Empty hand 0 1 S
1
X		 Direct toss to other hand 1 1 S
2
X		 Holding a prop in each hand 2 1 S
3
 Cascade,[4][6][7][8][9][10][11]
reverse cascade,[12] etc.[13][14][15]		 3 1 S
4
 Fountain, etc.[4][10][11][16][17] 4 1 S
5
 Cascade,[4][18][19]
reverse cascade,[20] etc.[21]		 5 1 S
6
 Fountain[22][23] 6 1 S
7
 Cascade 7 1 S
8
 Fountain 8 1 S
9
 Cascade 9 1 S
20
X		 Hold a prop in 1 hand,
0 in the other[6]		 1 1 A
31
X		 Two prop shower[4][6][24] 2 2 A
40
 2 in 1 (single handed column/fountain)[4][24][25]
only valid two prop juggling pattern		 2 2 A
42
 2 in 1, hold 1 in the other[6][7][9][25] 3 2 A
51
 Shower[4][6][9][24][26][27][28] 3 2 A
53
 Half shower[4][6][7][29][30][31] 4 2 A
60
 Three in one[24][32][33] 3 2 A
62
 3 in 1, hold in the other 4 2 A
64
 3 in 1, 2 in the other[4][7][34] 5 2 A
71
 Shower[4][6][30][35] 4 2 A
73
 Half shower (see synchronous)[7] 5 2 A
75
 Half-shower[4][34] 6 2 A
80
 Four in one[30] 4 2 A
82
 Four in one, hold in the other 5 2 A
84
 Four in one, two in the other[34] 6 2 A
86
 Four in one, three in the other 7 2 A
91
 Shower[4][34][36] 5 2 A
93
 Half-shower[34] 6 2 A
95
 Half-shower 7 2 A
97
 Half-shower 8 2 A
312
X		 Shower alternating direction[4][24] 2 3 S
330
X		 Cascade with a "hole"[7][37] 2 3 S
423
 Burke's barrage,
etc.[4][6][7][10][24][38][39][40][41]		 3 3 S
441
 Half box[4][6][7][9][11][24][29][42][38][43][44]
and reverse,[45] 441 Mills Mess[46]		 3 3 S
453
 453[6] 4 3
501
 High shower variant[4][6][7][24] 2 3 S
504
 504,[38][47] 450[6][11][48] 3 3 S
522
 522[4][49] 3 3 S
531
 531[4][6][7][9][10][24][50] and
531 Mills Mess[51][52]		 3 3 S
534
 534[4][7][10][38][53][54] 4 3 S
552
 4 out of 5[4][7][55][56] 4 3 S
561
 561[6][7][38] 4 3 S
612
 See-saw[4][24][57] 3 3 S
615
 615[4][58] 61616,[6] 4 3 S
633
 633[4][6][7][10][38][59] 4 3 S
642
 642[6][38] 4 3 S
645
 645[4][6] 5 3 S
663
 663[38] 5 3 S
714
 714[4][6] 4 3 S
723
 723[6] 4 3 S
726
 726[4] 5 3 S
741
 741[6] 4 3 S
744
 744[4][38] 5 3 S
756
 756[4] 6 3 S
771
 771[4][6][38] 5 3 S
753
 753[38] 5 3 S
801
 801[4][24] 3 3 S
810
 810[38] 3 3 S
831
 831[38] 4 3 S
867
 867[4] 7 3 S
915
 915[4] 5 3 S
945
 459[38] 6 3 S
978
 978[4] 8 3 S
4413
 4413[6][7] 3 4 A
4440
 Gap/3 out of 4 (fountain)[6][60] 3 4 A
5223
 Slow half-shower[61] 3 4 A
5241
 5241[6] 3 4 A
5313
 Asymmetric version of 531)[6][7] 3 4 A
5524
 5524[7] 4 4 A
5551
 5551[4][6][38][62][63] 4 4 A
6312
 6312[64] 3 4 A
6424
 6424[6] 4 4 A
7131
 High-Low Shower[65] 3 4 A
7333
 7333[4] 4 4 A
7531
 7531[6][38] 4 4 A
7562
 7562[6][38] 5 4 A
7571
 7571[6] 5 4 A
8040
 High-low three in one[4][57] 3 4 A
9955
 9559[38] 7 4 A
40141
X		 40141[38] 2 5 S
42333
 Marden's Marvel and Relf's Factory[66] 3 5 S
42423
 Orinoco Flow[67] (423 with an extra 4) 3 5 S
44133
 Frostbite and Mills Mess Shower[68] 3 5 S
45141
 45141[48][38] 3 5 S
50505
 Chase,[69] snake,[6][70][71] etc.[4][7] 3 5 S
51234 12345 3 5 S
51414
 51414[72] 3 5 S
52233
 Rubenstein's Revenge
and Romeo's Revenge[73]		 3 5 S
52512
 Boston shuffle,[74] "baby",[6] etc.[7][75] 3 5 S
52512*
 Burke's Slam,[76] (5251221525) 3 5 S
53133
 Shuffler's mess[77] 3 5 S
53444
 Tennis[70][78] 4 5 S
55014
 55014[79] 3 5 S
55244
 55244[7] 4 5 S
55500
 "Flash" (3 out of 5)[6][7][9][70][4][57] 3 5 S
55514
 55514[6][38][80] 4 5 S
55550
 Gap/four out of five[6][7][81][82] 4 5 S
56414
 56414[6] 4 5 S
66161
 66161[4] 4 5 S
66661
 66661[4][6] 5 5 S
67561
 67561[6] 5 5 S
68141
 68141[4] 4 5 S
75751
 75751[6] 5 5 S
77731
 77731[4] 5 5 S
81411
 Super box[4] 3 5 S
88333
 88333[4] 5 5 S
94444
 94444[4] 5 5 S
95353
 95353[4] 5 5 S
97333
 97333[4] 5 5 S
97441
 97441[4] 5 5 S
97522
 97522[4] 5 5 S
517131
 One up one down[4][83] 3 6 A
615150
 Shower with a "leak"[7] 3 6 A
661515
 661515[6] 4 6 A
719151
 One high one low[4] 4 6 A
777171
 777171[6] 5 6 A
5224233
 Relf's Rubensteins[84] 3 7 S
7161616
 7161616[6] 4 7 S
7272712
 7272712[6] 4 7 S
33333342
 Icelandic Shuffle[85] 3 8 A
123456789
 123456789[4][86] 5 9 S
8483848034
 8483848034[87] 5 10 A
53145305520
 53145305520 3 11 S

Synchronous[]

(6x,4)(4,2x)(4,6x)(2x,4)

A pattern is symmetric if all throws made by the right hand are made by the left hand in the same order. It follows that a synchronous pattern is symmetric if the sequence of throws made by one hand in the siteswap notation is a rotation of the other.

Juggling patterns by siteswap
Siteswap Name Props Period Symmetry
(S/A)
(2x,4x)
 Half-shower[88] 3 1 A
(4,2)
 Fake Columns, yo-yo etc.[89]
(identical to 42[7])		 3 1 A
(4,2x)(2x,4)
 Box[6][7][9][90][91] 3 2 S
(4,4)
 Columns, etc.[92][93] 4 1 S
(4,4)(4,0)
 Columns/One Up Two Up[7][9][94][95] 3 2 A
(4,4)(4x,0)*
 Alternating columns[96] 3 4 S
(4,6x)(2x,4)
 (4,6x)(2x,4)[97] 4 2 A
(4x,2x)
 Shower[6][87][98] 3 1 A
(4x,2x)(4,2x)(2x,4x)(2x,4)
 Double box[6] 3 4 S
(4x,4x)
 Crossing columns[9][99] 4 1 S
(4x,6)(6,4x)
 Box[4][97] 5 2 S
(6,2x)(6,2x)
 Box[100] 4 2 S
(6,2x)(6,2x)(2x,6)(2x,6)
 (6,2x)(6,2x)(2x,6)(2x,6)[6] 4 4 S
(6,4)
 3 in 1, 2 in the other 5 1 A
(6,4x)(4x,2)
 (6,4x)(4x,2)[97] 4 2 A
(6,6)(6,2)
 3 in 1, 2 in the other[6] 5 2 A
(6,6)(6,6)(6,0)
 3 in 1, 2 in the other[7] 5 3 A
(6x,2)(6,2x)(2,6x)(2x,6)
 (6x,2)(6,2x)(2,6x)(2x,6)[6] 4 4 S
(6x,2x)
 Shower[9][101] 4 1 A
(6x,2x)(2x,6x)
 Box shower/shower box[6][102] 4 2 S
(6x,4)(4,2x)(4,4)(4,6x)(2x,4)(4,4)
 Tennis[103] 4 6 S
(6x,4)(4,2x)(4,6x)(2x,4)
 Synchronous 534[104] 4 4 S
(6x,4)(4,6x)
 (6x,4)(4,6x)[15] 5 2 S
(6x,4x)
 Half shower[7] 5 1 A
(6x,6x)(2x,2x)
 (6x,6x)(2x,2x)[9] 4 2 S
(8,2x)(4,2x)(2x,8)(2x,4)
 Dan Bennett's box[6] 4 4 S

Passing[]

Main article: Passing (juggling)
Animations
Juggling patterns by siteswap
Siteswap Name Props Period Symmetry
(S/A)		 Timing
(S/A)
<3p|3p>
 One-count[9] 6 1 S A
<3p3|3p3>
or <33p|33p>
 Two-count[9] 6 2 A A
<3p33|3p33>
 Three-count 6 3 S A
<3p333|3p333>
 Four-count 6 4 A A
<3p33333|3p33333>
 Six-count[105][106] 6 6 S A
<5p333><335p3>
 Simplest 4 count 7 prop[107] 7 4 A A

Ladder diagrams[]

  • Half-box: 441

  • 53145305520

  • Box: (4,2x)(2x,4)

  • Burke's barrage: 423

  • Cascade: 3

  • Columns: (4,4)(4,0)no i want 3 ball columns

  • Columns, alternating: (4,4)(4x,0)

  • Rubenstein's revenge: 52233

  • Shower (asynchronous): 51

  • Shower (synchronous): (4x,2x)

  • Fountain (asynchronous): 4

  • Fountain (synchronous): (4)(4)

  • Four-count pass juggling: <3p333|3p333>

  • 4 count 7 prop 2 juggler pattern

References[]

  1. ^ After Donahue, Bill (2004). "The Mathematics of...Juggling", DiscoverMagazine.com.
  2. ^ Tiemann, Bruce and Magnusson, Bengt (1991). "A Notation for Juggling Tricks, A LOT of Juggling Tricks Archived 2012-06-12 at the Wayback Machine", Juggle.org. Accessed July 8, 2014.
  3. ^ For example, ""1. What is juggling?", IJDb". Archived from the original on December 1, 2008. Retrieved 2016-11-06.CS1 maint: bot: original URL status unknown (link). Cited in Rosenberger, Phillip (2011). Juggling Basics, Why and How To. ISBN 9780983339700.
  4. ^ Jump up to: a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah ai aj ak al am an ao ap aq ar as at au av aw ax ay az ba Darley, Vincent (1996). "Site Swaps: Examples", Juggling.org. Accessed: October 24, 2016.
  5. ^ "Juggling by numbers: How notation revealed new tricks", BBC.com (BBC article with explanatory video)
  6. ^ Jump up to: a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab ac ad ae af ag ah ai aj ak al am an ao ap aq ar as at au av aw ax ay az Knutson, Allen (1993). "Siteswap FAQ", Juggling.org, one page. Accessed: October 30, 2016.
  7. ^ Jump up to: a b c d e f g h i j k l m n o p q r s t u v w x y z aa ab Phillips, Greg (2001). "Understanding Siteswap". Accessed 11 3 2016.
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  11. ^ Jump up to: a b c d Buhler, Joe; Graham, Ron (2004). "Juggling Patterns, Passing, and Posets". In Hayes, David F.; Shubin, Tatiana (eds.). Mathematical Adventures for Students and Amateurs. The Mathematical Association of America. pp. 100–1. ISBN 0-88385-548-8. Retrieved February 17, 2011.
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  13. ^ "Statue of Liberty", Tunbridge Wells Juggling Club.
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  19. ^ "The Five Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  20. ^ "Five Ball Reverse Cascade". . Retrieved October 24, 2016.
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  22. ^ "Six Ball Fountain". . Retrieved October 24, 2016.
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  30. ^ Jump up to: a b c Beever (2001), p.61.
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  36. ^ "Five Ball Shower". . Retrieved October 24, 2016.
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  38. ^ Jump up to: a b c d e f g h i j k l m n o p q r s t u Borwein, Jonathan M.; ed. (1997). Buhler, Eisenbud, Graham, Wright. "Juggling Drops and Descents", Organic Mathematics: Proceedings of the Organic Mathematics Workshop, December 12–14, 1995, Simon Fraser University, Burnaby, British Columbia, p.141-2. American Mathematical Soc. ISBN 9780821806685.
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  50. ^ "531". . Retrieved October 24, 2016.
  51. ^ "531 Mills Mess". . Retrieved October 24, 2016.
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  53. ^ "534" and "534 Mills Mess". . Retrieved October 24, 2016.
  54. ^ "Five Three Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  55. ^ "552". . Retrieved October 24, 2016.
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  66. ^ "Marden's Marvel", LibraryofJuggling.com and "Relf's Factory". . Retrieved October 24, 2016.
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  68. ^ "Frostbite" and "Mills Mess Shower". . Retrieved October 24, 2016.
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  73. ^ "Romeo's Revenge". . Retrieved October 24, 2016.
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  75. ^ "Peter's Shuffle". . Retrieved October 24, 2016.
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  85. ^ "Icelandic Shuffle". . Retrieved October 24, 2016.
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  90. ^ "Box". . Retrieved October 24, 2016.
  91. ^ "The Box (4,2x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016.
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  98. ^ Burns, p.18.
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  101. ^ "Synchronous Half Shower (6x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
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  103. ^ "Synchronous Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016.
  104. ^ "'Synchronous 534' (6x,4)(4,2x)(4,6x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016.
  105. ^ Besmehn, Bobby (1994). Juggling Step-by-Step, p.65. "Use four balls of one color and two of another color...every time an odd-colored ball reaches your right hand, pass it." Sterling. ISBN 0-8069-0815-7
  106. ^ Cassidy, John and Rimbeaux, B.C. (1988). Juggling for the Complete Klutz, p.38. "It helps...if one of you counts out loud every time a toss leaves your right hand[s]...On a pre-arranged number, say three [six beats], instead of tossing across to your own left hand, throw your bag...over to your friend's left hand." Klutz Press. Third edition. ISBN 0-932592-00-7
  107. ^ Beever (2001), p.43.

External links[]

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