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[]

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[]

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.
  8. ^ "Cascade". . Retrieved October 24, 2016.
  9. ^ Jump up to: a b c d e f g h i j k l m "Siteswap notation", JugglingLab. Accessed: October 24, 2016.
  10. ^ Jump up to: a b c d e f Burns, Aiden. "Notations: Ladder Diagrams", p.11. Aidan's Juggling Page. Accessed: 11 10 2016.
  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.
  12. ^ "Reverse Cascade". . Retrieved October 24, 2016.
  13. ^ "Statue of Liberty", Tunbridge Wells Juggling Club.
  14. ^ "Mills Mess", "Reverse Mills Mess", "Flipped Mess", "Boston Mess", "Half-Shower", "Cherry Picker", "Chops", "Reverse Chops", "Statue of Liberty", "Half-Mess", "Mike's Mess", "Crossed Arm Cascade", "Crossed-Arm Reverse Cascade", "Inverted Shower", "Backcrosses", "Flo's Mess", "Windmill", "Chop Shower", "Frantic Cascade", "Kraken", "Relf's Revenge 6", and "Juggler's Tennis". . Retrieved October 24, 2016.
  15. ^ Jump up to: a b Beever (2001), p.6.
  16. ^ "Fountain", "Four Ball Mills Mess", and "Four Ball Half-Mess". . Retrieved October 24, 2016.
  17. ^ "Four Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016.
  18. ^ "Five Ball Cascade". . Retrieved October 24, 2016.
  19. ^ "The Five Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  20. ^ "Five Ball Reverse Cascade". . Retrieved October 24, 2016.
  21. ^ "Shuffle" and "Low Shuffle". . Retrieved October 24, 2016.
  22. ^ "Six Ball Fountain". . Retrieved October 24, 2016.
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  27. ^ Beever (2001), p.8.
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  29. ^ Jump up to: a b Beever (2001), p.13.
  30. ^ Jump up to: a b c Beever (2001), p.61.
  31. ^ "Four Ball Half-Shower", Aidan's Juggling Page. Accessed: November 3, 2016.
  32. ^ "Three in One". . Retrieved October 24, 2016.
  33. ^ Burns, Aidan. "Three In One Hand", Aidan's Juggling Page. Accessed: November 3, 2016.
  34. ^ Jump up to: a b c d e Beever (2001), p.62.
  35. ^ "Four Ball Shower". . Retrieved October 24, 2016.
  36. ^ "Five Ball Shower". . Retrieved October 24, 2016.
  37. ^ "Three Ball Gap", Adian's Juggling Page. Accessed November 3, 2016.
  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.
  39. ^ "423", "Follow", "Burke's Barrage", "Relf's Revenge", "Fake Mess", "Takeouts", and "The W". . Retrieved October 24, 2016.
  40. ^ "Four Two Three", Aidan's Juggling Page. Accessed: 11 10 2016.
  41. ^ "Weave". . Retrieved October 24, 2016.
  42. ^ "Half-Box". . Retrieved October 24, 2016.
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  44. ^ "Four Four One", Aidan's Juggling Page. Accessed: 11 10 2016.
  45. ^ "Reverse Half-Box". . Retrieved October 24, 2016.
  46. ^ "441 Mills Mess". . Retrieved October 24, 2016.
  47. ^ "Five O Four", Aidan's Juggling Page. Accessed: 11 10 2016.
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  49. ^ Beever (2001), p.15.
  50. ^ "531". . Retrieved October 24, 2016.
  51. ^ "531 Mills Mess". . Retrieved October 24, 2016.
  52. ^ "Five Three One", Aidan's Juggling Page. Accessed: 11 10 2016.
  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.
  56. ^ "Five Five Two", Aidan's Juggling Page. Accessed: November 3, 2016.
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  61. ^ "The Slow Half-Shower", Aidan's Juggling Page. Accessed: 11 10 2016.
  62. ^ "5551". . Retrieved October 24, 2016.
  63. ^ "Five Five Five One", Aidan's Juggling Page. Accessed: November 3, 2016.
  64. ^ Beever (2001), p.37.
  65. ^ "High-Low Shower". . Retrieved October 24, 2016.
  66. ^ "Marden's Marvel", LibraryofJuggling.com and "Relf's Factory". . Retrieved October 24, 2016.
  67. ^ "Orinoco Flow". . Retrieved October 24, 2016.
  68. ^ "Frostbite" and "Mills Mess Shower". . Retrieved October 24, 2016.
  69. ^ Burns, Aidan. "The Chase", Aidan's Juggling Page. Siteswap: 55050. Accessed: November 3, 2016.
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  71. ^ "Snake". . Retrieved October 24, 2016.
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  73. ^ "Romeo's Revenge". . Retrieved October 24, 2016.
  74. ^ "Boston Shuffle". . Retrieved October 24, 2016.
  75. ^ "Peter's Shuffle". . Retrieved October 24, 2016.
  76. ^ "Burke's Slam". . Retrieved October 24, 2016.
  77. ^ "Shuffler's Mess". . Retrieved October 24, 2016.
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  79. ^ "Five Five 0 One Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  80. ^ "Five Five Five One Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  81. ^ "55550". . Retrieved October 24, 2016.
  82. ^ "Five ball Gap ", Aidan's Juggling Page. Accessed: November 3, 2016.
  83. ^ "Shower-Cascade". . Retrieved October 24, 2016.
  84. ^ "Relf's Rubensteins". . Retrieved October 24, 2016.
  85. ^ "Icelandic Shuffle". . Retrieved October 24, 2016.
  86. ^ Diaconis, Persi and Graham, Ron (2011). Magical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks, p.144. Princeton University. ISBN 9781400839384. "Mathematically interesting siteswap patterns, such as 123456789."
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  88. ^ "The Three Ball Half-Shower (4x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  89. ^ "Fake Columns", "Yo-Yo", and "Oy-Oy". . Retrieved October 24, 2016.
  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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  93. ^ "Synchronous Four Ball Fountain", Aidan's Juggling Page. Accessed: 11 10 2016.
  94. ^ "Columns". . Retrieved October 24, 2016.
  95. ^ "One Up Two Up", Aidan's Juggling Page. Accessed: November 3, 2016.
  96. ^ "Infinity" and "Reverse Infinity". . Retrieved October 24, 2016.
  97. ^ Jump up to: a b c Burns, p.19.
  98. ^ Burns, p.18.
  99. ^ "Synchronous Four Ball Crossing Pattern", Aidan's Juggling Page. Accessed: 11 10 2016.
  100. ^ "Four Ball Box". . Retrieved October 24, 2016.
  101. ^ "Synchronous Half Shower (6x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  102. ^ "Six Two (6x,2x)(2x,6x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  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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