List of siteswaps explained

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

Toss juggling requires more balls than hands.[1] Thus tricks such as the one ball cascade toss back and forth, 300,[2] 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:[3]

Symbols:

Asynchronous

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.

Name Props Period Symmetry
(S/A)
X Empty hand 0 1 S
X Direct toss to other hand 1 1 S
X Holding a prop in each hand 2 1 S
Cascade,[4] [5] [6]
reverse cascade, etc.[7] [8] [9] 		3 1 S
Fountain, etc.[10] [11] 4 1 S
Cascade,[12]
reverse cascade, etc.[13] 		5 1 S
Fountain[14] 6 1 S
Cascade 7 1 S
Fountain 8 1 S
Cascade 9 1 S
X Hold a prop in 1 hand,
0 in the other[15] 		1 1 A
X Two prop shower 2 2 A
2 in 1 (single handed column/fountain)[16]
only valid two prop juggling pattern 		2 2 A
2 in 1, hold 1 in the other 3 2 A
Shower[17] [18] 3 2 A
Half shower[19] [20] 4 2 A
Three in one[21] 3 2 A
3 in 1, hold in the other 4 2 A
3 in 1, 2 in the other[22] 5 2 A
Shower 4 2 A
Half shower (see synchronous) 5 2 A
Half-shower 6 2 A
Four in one 4 2 A
Four in one, hold in the other 5 2 A
Four in one, two in the other 6 2 A
Four in one, three in the other 7 2 A
Shower 5 2 A
Half-shower 6 2 A
Half-shower 7 2 A
Half-shower 8 2 A
X Shower alternating direction 2 3 S
X Cascade with a "hole"[23] [24] 2 3 S
Burke's barrage,
etc.[25] [26] 		3 3 S
Half box[27] [28] [29] [30]
and reverse, 441 Mills Mess 		3 3 S
453 4 3
Snowball 2 3 S
504,[31] 450[32] 3 3 S
522[33] 3 3 S
531 and
531 Mills Mess[34] 		3 3 S
534[35] [36] 4 3 S
4 out of 5[37] 4 3 S
561 4 3 S
See-saw 3 3 S
615[38] 61616, 4 3 S
633[39] 4 3 S
642 4 3 S
645 5 3 S
663 5 3 S
714 4 3 S
723 4 3 S
726 5 3 S
741 4 3 S
744 5 3 S
756 6 3 S
771 5 3 S
753 5 3 S
801 3 3 S
831 4 3 S
867 7 3 S
915 5 3 S
459 6 3 S
978 8 3 S
4413 3 4 A
Gap/3 out of 4 (fountain)[40] 3 4 A
Slow half-shower[41] 3 4 A
5241 3 4 A
Asymmetric version of 531) 3 4 A
5524 4 4 A
5551[42] 4 4 A
6312[43] 3 4 A
6424 4 4 A
High-Low Shower 3 4 A
7333 4 4 A
7531 4 4 A
7562 5 4 A
7571 5 4 A
High-low three in one 3 4 A
9559 7 4 A
X 40141 2 5 S
Marden's Marvel and Relf's Factory[44] 3 5 S
Orinoco Flow (423 with an extra 4) 3 5 S
Frostbite and Mills Mess Shower[45] 3 5 S
45141 3 5 S
Chase,[46] snake,[47] etc. 3 5 S
12345 3 5 S
51414[48] 3 5 S
Rubenstein's Revenge
and Romeo's Revenge 		3 5 S
Boston shuffle, "baby", etc. 3 5 S
Burke's Slam, (5251221525) 3 5 S
Shuffler's mess 3 5 S
Tennis[49] 4 5 S
55014[50] 3 5 S
55244 4 5 S
"Flash" (3 out of 5)[51] 3 5 S
55514[52] 4 5 S
Gap/four out of five[53] 4 5 S
56414 4 5 S
66161 4 5 S
66661 5 5 S
67561 5 5 S
68141 4 5 S
75751 5 5 S
77731 5 5 S
Super box 3 5 S
88333 5 5 S
94444 5 5 S
95353 5 5 S
97333 5 5 S
97441 5 5 S
97522 5 5 S
One up one down 3 6 A
Shower with a "leak" 3 6 A
661515 4 6 A
One high one low 4 6 A
777171 5 6 A
Relf's Rubensteins 3 7 S
7161616 4 7 S
7272712 4 7 S
Icelandic Shuffle 3 8 A
123456789[54] 5 9 S
8483848034[55] 5 10 A
53145305520 3 11 S

Synchronous

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.

Name Props Period Symmetry
(S/A)
Half-shower[56] 3 1 A
Fake Columns, yo-yo etc.[57]
(identical to 42) 		3 1 A
Box[58] 3 2 S
Columns, etc.[59] [60] 4 1 S
Columns/One Up Two Up[61] 3 2 A
Alternating columns[62] 3 4 S
(4,6x)(2x,4)4 2 A
Shower[63] [64] 3 1 A
Double box3 4 S
Crossing columns[65] 4 1 S
Box[66] 5 2 S
Box4 4 S
(6,2x)(6,2x)(2x,6)(2x,6)4 4 S
3 in 1, 2 in the other 5 1 A
(6,4x)(4x,2)4 2 A
3 in 1, 2 in the other5 2 A
3 in 1, 2 in the other5 3 A
(6x,2)(6,2x)(2,6x)(2x,6)4 4 S
Shower[67] 4 1 A
Box shower/shower box[68] 4 2 S
Tennis[69] 4 6 S
Synchronous 534[70] 4 4 S
(6x,4)(4,6x)5 2 S
Half shower5 1 A
(6x,6x)(2x,2x)4 2 S
Dan Bennett's box4 4 S

Passing

See main article: Passing (juggling).

Notes and References

  1. For example, Web site: "1. What is juggling?", IJDb . 2016-11-06 . bot: unknown . https://web.archive.org/web/20081201042130/http://www.jugglingdb.com/faq/index.php?question=1 . December 1, 2008 . . Cited in Rosenberger, Phillip (2011). Juggling Basics, Why and How To. .
  2. Darley, Vincent (1996). "Site Swaps: Examples", Juggling.org. Accessed: October 24, 2016.
  3. "Juggling by numbers: How notation revealed new tricks", BBC.com (BBC article with explanatory video)
  4. "Siteswap notation", JugglingLab. Accessed: October 24, 2016.
  5. Burns, Aiden. "Notations: Ladder Diagrams", p.11. Aidan's Juggling Page. Accessed: 11 10 2016.
  6. Book: Juggling Patterns, Passing, and Posets. Mathematical Adventures for Students and Amateurs . Hayes . David F. . Shubin . Tatiana . Buhler . Joe . Graham . Ron . 2004 . The Mathematical Association of America . 0-88385-548-8 . 100–1 . https://books.google.com/books?id=PD0clAlF8O4C&q=%22Paul+Klimek%22+siteswaps&pg=PA99 . February 17, 2011 .
  7. "Statue of Liberty", Tunbridge Wells Juggling Club.
  8. "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
  9. Beever (2001), p.6.
  10. "Fountain", "Four Ball Mills Mess", and
  11. "Four Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016.
  12. "The Five Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  13. "Shuffle" and
  14. "The Six Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016.
  15. Knutson, Allen (1993). "Siteswap FAQ", Juggling.org, one page. Accessed: October 30, 2016.
  16. "Two In One Hand", Adian's Juggling Page. Accessed November 3, 2016.
  17. Beever (2001), p.8.
  18. "The Three Ball Shower", Aidan's Juggling Page. Accessed: 11 10 2016.
  19. Beever (2001), p.61.
  20. "Four Ball Half-Shower", Aidan's Juggling Page. Accessed: November 3, 2016.
  21. Burns, Aidan. "Three In One Hand", Aidan's Juggling Page. Accessed: November 3, 2016.
  22. Beever (2001), p.62.
  23. Phillips, Greg (2001). "Understanding Siteswap". Accessed 11 3 2016.
  24. "Three Ball Gap", Adian's Juggling Page. Accessed November 3, 2016.
  25. "423", "Follow", "Burke's Barrage", "Relf's Revenge", "Fake Mess", "Takeouts", and
  26. "Four Two Three", Aidan's Juggling Page. Accessed: 11 10 2016.
  27. Beever (2001), p.13.
  28. 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. .
  29. Burns, Aidan. "The Three Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  30. "Four Four One", Aidan's Juggling Page. Accessed: 11 10 2016.
  31. "Five O Four", Aidan's Juggling Page. Accessed: 11 10 2016.
  32. Wright, Colin and Lipson, Andrew (1996). "SiteSwaps, How To Write Down A Juggling Pattern: A Guide For The Perplexed", Juggling.org. Accessed: October 24, 2016.
  33. Beever (2001), p.15.
  34. "Five Three One", Aidan's Juggling Page. Accessed: 11 10 2016.
  35. "534" and
  36. "Five Three Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  37. "Five Five Two", Aidan's Juggling Page. Accessed: November 3, 2016.
  38. "Six One Five", Aidan's Juggling Page. Accessed: November 3, 2016.
  39. "Six Three Three", Aidan's Juggling Page. Accessed: November 3, 2016.
  40. "Four Ball Gap", Aidan's Juggling Page. Accessed: November 3, 2016.
  41. "The Slow Half-Shower", Aidan's Juggling Page. Accessed: 11 10 2016.
  42. "Five Five Five One", Aidan's Juggling Page. Accessed: November 3, 2016.
  43. Beever (2001), p.37.
  44. "Marden's Marvel", LibraryofJuggling.com and
  45. "Frostbite" and
  46. Burns, Aidan. "The Chase", Aidan's Juggling Page. Siteswap: 55050. Accessed: November 3, 2016.
  47. Lee, Xah (2005). "Siteswap", XahArts.org. Accessed: November 8, 2016.
  48. "Five One Four One Four", Aidan's Juggling Page. Accessed: 11 10 2016.
  49. "Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016.
  50. "Five Five 0 One Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  51. Morgan, Alan (1996). "Siteswaps for the Masses", Juggling.org. Accessed: October 24, 2016.
  52. "Five Five Five One Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  53. "Five ball Gap ", Aidan's Juggling Page. Accessed: November 3, 2016.
  54. [Persi Diaconis|Diaconis, Persi]
  55. Beever (2001), p.9.
  56. "The Three Ball Half-Shower (4x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  57. "Fake Columns", "Yo-Yo", and
  58. "The Box (4,2x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016.
  59. "Four Ball Columns", "Pistons", "Synchronous Pistons", and "Synchronous Fountain"; LibraryofJuggling.com. Accessed October 24, 2016.
  60. "Synchronous Four Ball Fountain", Aidan's Juggling Page. Accessed: 11 10 2016.
  61. "One Up Two Up", Aidan's Juggling Page. Accessed: November 3, 2016.
  62. "Infinity" and
  63. Beever (2001), p.9.
  64. Burns, p.18.
  65. "Synchronous Four Ball Crossing Pattern", Aidan's Juggling Page. Accessed: 11 10 2016.
  66. Burns, p.19.
  67. "Synchronous Half Shower (6x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  68. "Six Two (6x,2x)(2x,6x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  69. "Synchronous Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016.
  70. "'Synchronous 534' (6x,4)(4,2x)(4,6x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016.

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