List of siteswaps

Last updated

Siteswap beats shown as relative height Siteswap relative visualized.png
Siteswap beats shown as relative height
<3p3|3p4|3p5|3p1|3p2><3|3|3|3|3><3|3|3|3|3><3|3|3|3|3> Passing 5jugglers 15balls 4beats Star top.gif
<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.

Contents

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]

Symbols:

Asynchronous

Animations
Siteswap 3b 531.gif
531
5-ball cascade movie.gif
Cascade: 5
Malabarismo con 7 pelotas.gif
Cascade: 7

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
SiteswapNamePropsPeriodSymmetry
(S/A)
0
X
Empty hand01S
1
X
Direct toss to other hand11S
2
X
Holding a prop in each hand21S
3
Cascade, [4] [6] [7] [8] [9] [10] [11]
reverse cascade, [12] etc. [13] [14] [15]
31S
4
Fountain, etc. [4] [10] [11] [16] [17] 41S
5
Cascade, [4] [18] [19]
reverse cascade, [20] etc. [21]
51S
6
Fountain [22] [23] 61S
7
Cascade71S
8
Fountain81S
9
Cascade91S
20
X
Hold a prop in 1 hand,
0 in the other [6]
11A
31
X
Two prop shower [4] [6] [24] 22A
40
2 in 1 (single handed column/fountain) [4] [24] [25]
only valid two prop juggling pattern
22A
42
2 in 1, hold 1 in the other [6] [7] [9] [25] 32A
51
Shower [4] [6] [9] [24] [26] [27] [28] 32A
53
Half shower [4] [6] [7] [29] [30] [31] 42A
60
Three in one [24] [32] [33] 32A
62
3 in 1, hold in the other42A
64
3 in 1, 2 in the other [4] [7] [34] 52A
71
Shower [4] [6] [30] [35] 42A
73
Half shower (see synchronous) [7] 52A
75
Half-shower [4] [34] 62A
80
Four in one [30] 42A
82
Four in one, hold in the other52A
84
Four in one, two in the other [34] 62A
86
Four in one, three in the other72A
91
Shower [4] [34] [36] 52A
93
Half-shower [34] 62A
95
Half-shower72A
97
Half-shower82A
312
X
Shower alternating direction [4] [24] 23S
330
X
Cascade with a "hole" [7] [37] 23S
423
Burke's barrage,
etc. [4] [6] [7] [10] [24] [38] [39] [40] [41]
33S
441
Half box [4] [6] [7] [9] [11] [24] [29] [42] [38] [43] [44]
and reverse, [45] 441 Mills Mess [46]
33S
453
453 [6] 43
501
Snowball [4] [6] [7] [24] 23S
504
504, [38] [47] 450 [6] [11] [48] 33S
522
522 [4] [49] 33S
531
531 [4] [6] [7] [9] [10] [24] [50] and
531 Mills Mess [51] [52]
33S
534
534 [4] [7] [10] [38] [53] [54] 43S
552
4 out of 5 [4] [7] [55] [56] 43S
561
561 [6] [7] [38] 43S
612
See-saw [4] [24] [57] 33S
615
615 [4] [58] 61616, [6] 43S
633
633 [4] [6] [7] [10] [38] [59] 43S
642
642 [6] [38] 43S
645
645 [4] [6] 53S
663
663 [38] 53S
714
714 [4] [6] 43S
723
723 [6] 43S
726
726 [4] 53S
741
741 [6] 43S
744
744 [4] [38] 53S
756
756 [4] 63S
771
771 [4] [6] [38] 53S
753
753 [38] 53S
801
801 [4] [24] 33S
831
831 [38] 43S
867
867 [4] 73S
915
915 [4] 53S
945
459 [38] 63S
978
978 [4] 83S
4413
4413 [6] [7] 34A
4440
Gap/3 out of 4 (fountain) [6] [60] 34A
5223
Slow half-shower [61] 34A
5241
5241 [6] 34A
5313
Asymmetric version of 531) [6] [7] 34A
5524
5524 [7] 44A
5551
5551 [4] [6] [38] [62] [63] 44A
6312
6312 [64] 34A
6424
6424 [6] 44A
7131
High-Low Shower [65] 34A
7333
7333 [4] 44A
7531
7531 [6] [38] 44A
7562
7562 [6] [38] 54A
7571
7571 [6] 54A
8040
High-low three in one [4] [57] 34A
9955
9559 [38] 74A
40141
X
40141 [38] 25S
42333
Marden's Marvel and Relf's Factory [66] 35S
42423
Orinoco Flow [67] (423 with an extra 4)35S
44133
Frostbite and Mills Mess Shower [68] 35S
45141
45141 [48] [38] 35S
50505
Chase, [69] snake, [6] [70] [71] etc. [4] [7] 35S
51234
1234535S
51414
51414 [72] 35S
52233
Rubenstein's Revenge
and Romeo's Revenge [73]
35S
52512
Boston shuffle, [74] "baby", [6] etc. [7] [75] 35S
52512*
Burke's Slam, [76] (5251221525)35S
53133
Shuffler's mess [77] 35S
53444
Tennis [70] [78] 45S
55014
55014 [79] 35S
55244
55244 [7] 45S
55500
"Flash" (3 out of 5) [6] [7] [9] [70] [4] [57] 35S
55514
55514 [6] [38] [80] 45S
55550
Gap/four out of five [6] [7] [81] [82] 45S
56414
56414 [6] 45S
66161
66161 [4] 45S
66661
66661 [4] [6] 55S
67561
67561 [6] 55S
68141
68141 [4] 45S
75751
75751 [6] 55S
77731
77731 [4] 55S
81411
Super box [4] 35S
88333
88333 [4] 55S
94444
94444 [4] 55S
95353
95353 [4] 55S
97333
97333 [4] 55S
97441
97441 [4] 55S
97522
97522 [4] 55S
517131
One up one down [4] [83] 36A
615150
Shower with a "leak" [7] 36A
661515
661515 [6] 46A
719151
One high one low [4] 46A
777171
777171 [6] 56A
5224233
Relf's Rubensteins [84] 37S
7161616
7161616 [6] 47S
7272712
7272712 [6] 47S
33333342
Icelandic Shuffle [85] 38A
123456789
123456789 [4] [86] 59S
8483848034
8483848034 [87] 510A
53145305520
53145305520311S

Synchronous

(6x,4)(4,2x)(4,6x)(2x,4) Siteswap 4b (6x,4)(4,2x)(4,6x)(2x,4).gif
(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
SiteswapNamePropsPeriodSymmetry
(S/A)
(2x,4x)
Half-shower [88] 31A
(4,2)
Fake Columns, yo-yo etc. [89]
(identical to 42 [7] )
31A
(4,2x)(2x,4)
Box [6] [7] [9] [90] [91] 32S
(4,4)
Columns, etc. [92] [93] 41S
(4,4)(4,0)
Columns/One Up Two Up [7] [9] [94] [95] 32A
(4,4)(4x,0)*
Alternating columns [96] 34S
(4,6x)(2x,4)
(4,6x)(2x,4) [97] 42A
(4x,2x)
Shower [6] [87] [98] 31A
(4x,2x)(4,2x)(2x,4x)(2x,4)
Double box [6] 34S
(4x,4x)
Crossing columns [9] [99] 41S
(4x,6)(6,4x)
Box [4] [97] 52S
(6,2x)(6,2x)*
Box [100] 44S
(6,2x)(6,2x)(2x,6)(2x,6)
(6,2x)(6,2x)(2x,6)(2x,6) [6] 44S
(6,4)
3 in 1, 2 in the other51A
(6,4x)(4x,2)
(6,4x)(4x,2) [97] 42A
(6,6)(6,2)
3 in 1, 2 in the other [6] 52A
(6,6)(6,6)(6,0)
3 in 1, 2 in the other [7] 53A
(6x,2)(6,2x)(2,6x)(2x,6)
(6x,2)(6,2x)(2,6x)(2x,6) [6] 44S
(6x,2x)
Shower [9] [101] 41A
(6x,2x)(2x,6x)
Box shower/shower box [6] [102] 42S
(6x,4)(4,2x)(4,4)(4,6x)(2x,4)(4,4)
Tennis [103] 46S
(6x,4)(4,2x)(4,6x)(2x,4)
Synchronous 534 [104] 44S
(6x,4)(4,6x)
(6x,4)(4,6x) [15] 52S
(6x,4x)
Half shower [7] 51A
(6x,6x)(2x,2x)
(6x,6x)(2x,2x) [9] 42S
(8,2x)(4,2x)(2x,8)(2x,4)
Dan Bennett's box [6] 44S

Passing

Animations
Passing 3jugglers 9balls Feeding 2-4-4beats top.gif
<3p2|3p1|3><3|3|3><3p3|3|3p1><3|3|3>
Passing 4jugglers 12balls N-shape 4-2-2-4beats top.gif
<3|3p3|3p2|3><3|3|3|3><3p2|3p1|3p4|3p3><3|3|3|3>
Classic 4beats passing 2juggler 6balls side.gif
Four-count
Juggling patterns by siteswap
SiteswapNamePropsPeriodSymmetry
(S/A)
Timing
(S/A)
<3p|3p>
One-count [9] 61SA
<3p3|3p3>
or <33p|33p>
Two-count [9] 62AA
<3p33|3p33>
Three-count63SA
<3p333|3p333>
Four-count64AA
<3p33333|3p33333>
Six-count [105] [106] 66AA
<5p333><335p3>
Simplest 4 count 7 prop [107] 74AA

Ladder diagrams

Related Research Articles

<span class="mw-page-title-main">Juggling</span> Circus skill manipulating objects

Juggling is a physical skill, performed by a juggler, involving the manipulation of objects for recreation, entertainment, art or sport. The most recognizable form of juggling is toss juggling. Juggling can be the manipulation of one object or many objects at the same time, most often using one or two hands but other body parts as well, like feet or head. Jugglers often refer to the objects they juggle as props. The most common props are balls, clubs, or rings. Some jugglers use more dramatic objects such as knives, fire torches or chainsaws. The term juggling can also commonly refer to other prop-based manipulation skills, such as diabolo, plate spinning, devil sticks, poi, cigar boxes, contact juggling, hooping, yo-yo, and hat manipulation.

<span class="mw-page-title-main">Cascade (juggling)</span> Pattern in juggling

In toss juggling, a cascade is the simplest juggling pattern achievable with an odd number of props. The simplest juggling pattern is the three-ball cascade, This is therefore the first pattern that most jugglers learn. However, although the shower requires more speed and precision, "some people find that the movement comes naturally to them," and it may be the pattern learned first. "Balls or other props follow a horizontal figure-eight [or hourglass figure] pattern above the hands." In siteswap, each throw in a cascade is notated using the number of balls; thus a three ball cascade is "3".

In the cascade, an object is always thrown from a position near the body's midline in an arc passing underneath the preceding throw and toward the other side of the body, where it is caught and transported again toward the body's midline for the next throw. As a result, the balls travel along the figure-eight path that is characteristic of the cascade.

<span class="mw-page-title-main">Siteswap</span> Notation used to describe juggling patterns

Siteswap, also called quantum juggling or the Cambridge notation, is a numeric juggling notation used to describe or represent juggling patterns. The term may also be used to describe siteswap patterns, possible patterns transcribed using siteswap. Throws are represented by non-negative integers that specify the number of beats in the future when the object is thrown again: "The idea behind siteswap is to keep track of the order that balls are thrown and caught, and only that." It is an invaluable tool in determining which combinations of throws yield valid juggling patterns for a given number of objects, and has led to previously unknown patterns. However, it does not describe body movements such as behind-the-back and under-the-leg. Siteswap assumes that "throws happen on beats that are equally spaced in time."

<span class="mw-page-title-main">Fountain (juggling)</span>

The fountain is a juggling pattern that is the method most often used for juggling an even number of objects. In a fountain, each hand juggles separately, and the objects are not thrown between the hands, thus the number of balls is always even since any number of balls in one hand is doubled by the same number in the other hand. To illustrate this, it can be seen that in the most common fountain pattern where four balls are juggled, each hand juggles two balls independently. As Crego states "In the fountain pattern, each hand throws balls straight up into the air and each ball is caught in the same hand that throws it."

<span class="mw-page-title-main">Multiplex (juggling)</span>

Multiplexing is a juggling trick or form of toss juggling where more than one ball is in the hand at the time of the throw. The opposite, a squeeze catch, is when more than one ball is caught in the hand simultaneously on the same beat. If a multiplex throw were time-reversed, it would be a squeeze catch.

<span class="mw-page-title-main">Mills' Mess</span> Pattern in juggling using three objects

In toss juggling, Mills' Mess is a popular juggling pattern, typically performed with three balls although the props used and the number of objects can be different. The pattern was invented by and named after Steve Mills. It is a well-known trick among jugglers and learning it is considered somewhat of a milestone, "a mind-boggling pattern of circling balls, crossing and uncrossing hands, and unexpected catches."

<span class="mw-page-title-main">Juggling club</span> Equipment used by jugglers

Juggling clubs are a prop used by jugglers. Juggling clubs are often simply called clubs by jugglers and sometimes are referred to as pins or batons by non-jugglers. Clubs are one of the three most popular props used by jugglers; the others being balls and rings.

<span class="mw-page-title-main">Box (juggling)</span>

In toss juggling, the box is a juggling pattern for 3 objects, most commonly balls or bean bags. Two balls are dedicated to a specific hand with vertical throws, and the third ball is thrown horizontally between the two hands. Its siteswap is (4,2x)(2x,4).

<span class="mw-page-title-main">Flash (juggling)</span>

In toss juggling, a flash is either a form of numbers juggling where each ball in a juggling pattern is only thrown and caught once or it is a juggling trick where every prop is simultaneously in the air and both hands are empty.

<span class="mw-page-title-main">Columns (juggling)</span> Juggling pattern

In toss juggling, columns, also known as One-up Two-up, is a juggling trick or pattern where the balls are thrown upwards without any sideways motion, distinguishing it from the fountain. The simplest version involves having three balls, with two going up simultaneously on either side, followed by one going up in the middle. One way to accomplish this is to juggle 2 balls in one hand and one ball in the other, so one hand has to move faster and further than in a regular pattern (cascade), whilst the other remains almost stationary. The hand juggling the center ball can alternate with each repeat to make the pattern symmetric.

<span class="mw-page-title-main">Passing (juggling)</span> Juggling between two or more people

Passing is the act of juggling between two or more people. It is most commonly seen as a subset of toss juggling.

<span class="mw-page-title-main">Rubenstein's Revenge</span> Three-ball juggling pattern

In toss juggling, Rubenstein's Revenge is a 3-ball juggling pattern named by George Gillson after its inventor, Rick Rubenstein. Along with Mills' Mess and Burke's Barrage, it is one of three well-known named juggling patterns that involve complex carries and crossed arm throws. Rubenstein's Revenge is usually considered the most involved and difficult of the three.

<span class="mw-page-title-main">Toss juggling</span> Form of juggling

Toss juggling is the form of juggling which is most recognisable as 'juggling'. Toss juggling can be used as: a performing art, a sport, a form of exercise, as meditation, a recreational pursuit or hobby.

<span class="mw-page-title-main">Shower (juggling)</span> Juggling pattern

In toss juggling, the shower is a juggling pattern for 3 or more objects, most commonly balls or bean bags, where objects are thrown in a circular motion. Balls are thrown high from one hand to the other while the other hand passes the ball back horizontally. "In the shower pattern, every ball is thrown in a high arc from the right hand to the left and then quickly passed off with a low throw from the left to the right hand ." The animation depicts a 3-ball version. Siteswap notation for shower patterns is (2n-1)1, where n is the number of objects juggled. The circular motion of the balls is commonly represented in cartoons as the archetypical juggling pattern, somewhat at odds with reality, where the cascade is more common. By constantly reversing the direction, the box pattern can be formed.

<span class="mw-page-title-main">Juggling notation</span>

Juggling notation is the written depiction of concepts and practices in juggling. Toss juggling patterns have a reputation for being "easier done than said" – while it might be easy to learn a given maneuver and demonstrate it for others, it is often much harder to communicate the idea accurately using speech or plain text. To circumvent this problem, various numeric or diagram-based notation systems have been developed to facilitate communication of patterns or tricks between jugglers, as well the investigation and discovery of new patterns.

<span class="mw-page-title-main">Juggling ball</span> Spherical prop used in juggling

Juggling balls, or simply balls, are a popular prop used by jugglers, either on their own—usually in sets of three or more—or in combination with other props such as clubs or rings. A juggling ball refers to any juggling object that is roughly spherical in nature.

<span class="mw-page-title-main">Juggling pattern</span>

A juggling pattern or juggling trick is a specific manipulation of props during the practice of juggling. "Juggling, like music, combines abstract patterns and mind-body coordination in a pleasing way." Descriptions of patterns and tricks have been most common in toss juggling. A juggling pattern in toss juggling is a sequence of throws and catches using a certain number of props which is repeated continuously. Patterns include simple ones such as the cascade and complex ones such as Mills mess. A juggling trick in toss juggling is a throw or catch which is different from the throws and catches within a pattern. Tricks include simple ones such as a high throw or more difficult ones such a catch on the back of the jugglers neck, as well as the claw, multiplex, and pass. Systems of juggling notation have been created to describe juggling patterns and tricks. One of these is siteswap notation.

<span class="mw-page-title-main">Claw (juggling)</span> Juggling trick

In toss juggling, a claw is a trick where the hand throwing or catching a ball is turned upside down so that the palm of the hand faces the ground. The effect is that of the jugglers hand appearing to snatch the ball out of the air. A claw can be juggled as an isolated trick, or be incorporated into an already existing juggling pattern. For example, the Boston Mess can be juggled with each right hand throw as a claw. The resulting pattern in known as cherry picking.

A juggling robot is a robot designed to be able to successfully carry out bounce or toss juggling. Robots capable of juggling are designed and built both to increase and test understanding and theories of human movement, juggling, and robotics. Juggling robots may include sensors to guide arm/hand movement or may rely on physical methods such as tracks or funnels to guide prop movement. Since true juggling requires more props than hands, many robots described as capable of juggling are not.

Juggling terminology, juggling terms:

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.{{cite web}}: CS1 maint: bot: original URL status unknown (link). Cited in Rosenberger, Phillip (2011). Juggling Basics, Why and How To. ISBN   9780983339700.
  4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 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. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 Knutson, Allen (1993). "Siteswap FAQ", Juggling.org, one page. Accessed: October 30, 2016.
  7. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 Phillips, Greg (2001). "Understanding Siteswap". Accessed 11 3 2016.
  8. "Cascade". LibraryofJuggling.com . Retrieved October 24, 2016.
  9. 1 2 3 4 5 6 7 8 9 10 11 12 13 "Siteswap notation", JugglingLab. Accessed: October 24, 2016.
  10. 1 2 3 4 5 6 Burns, Aiden. "Notations: Ladder Diagrams", p.11. Aidan's Juggling Page. Accessed: 11 10 2016.
  11. 1 2 3 4 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". LibraryofJuggling.com . 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". LibraryofJuggling.com . Retrieved October 24, 2016.
  15. 1 2 Beever (2001), p.6.
  16. "Fountain", "Four Ball Mills Mess", and "Four Ball Half-Mess". LibraryofJuggling.com . Retrieved October 24, 2016.
  17. "Four Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016.
  18. "Five Ball Cascade". LibraryofJuggling.com . Retrieved October 24, 2016.
  19. "The Five Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  20. "Five Ball Reverse Cascade". LibraryofJuggling.com . Retrieved October 24, 2016.
  21. "Shuffle" and "Low Shuffle". LibraryofJuggling.com . Retrieved October 24, 2016.
  22. "Six Ball Fountain". LibraryofJuggling.com . Retrieved October 24, 2016.
  23. "The Six Ball Fountain", Aidan's Juggling Page. Accessed: November 3, 2016.
  24. 1 2 3 4 5 6 7 8 9 10 11 Beever, Ben (2001). " Siteswap Ben's Guide to Juggling Patterns ", p.60, JugglingEdge.com. BenBeever.com at the Wayback Machine (archived August 10, 2015).
  25. 1 2 "Two In One Hand", Adian's Juggling Page. Accessed November 3, 2016.
  26. "Shower". LibraryofJuggling.com . Retrieved October 24, 2016.
  27. Beever (2001), p.8.
  28. "The Three Ball Shower", Aidan's Juggling Page. Accessed: 11 10 2016.
  29. 1 2 Beever (2001), p.13.
  30. 1 2 3 Beever (2001), p.61.
  31. "Four Ball Half-Shower", Aidan's Juggling Page. Accessed: November 3, 2016.
  32. "Three in One". LibraryofJuggling.com . Retrieved October 24, 2016.
  33. Burns, Aidan. "Three In One Hand", Aidan's Juggling Page. Accessed: November 3, 2016.
  34. 1 2 3 4 5 Beever (2001), p.62.
  35. "Four Ball Shower". LibraryofJuggling.com . Retrieved October 24, 2016.
  36. "Five Ball Shower". LibraryofJuggling.com . Retrieved October 24, 2016.
  37. "Three Ball Gap", Adian's Juggling Page. Accessed November 3, 2016.
  38. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 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". LibraryofJuggling.com . Retrieved October 24, 2016.
  40. "Four Two Three", Aidan's Juggling Page. Accessed: 11 10 2016.
  41. "Weave". LibraryofJuggling.com . Retrieved October 24, 2016.
  42. "Half-Box". LibraryofJuggling.com . Retrieved October 24, 2016.
  43. Burns, Aidan. "The Three Ball Cascade", Aidan's Juggling Page. Accessed: November 3, 2016.
  44. "Four Four One", Aidan's Juggling Page. Accessed: 11 10 2016.
  45. "Reverse Half-Box". LibraryofJuggling.com . Retrieved October 24, 2016.
  46. "441 Mills Mess". LibraryofJuggling.com . Retrieved October 24, 2016.
  47. "Five O Four", Aidan's Juggling Page. Accessed: 11 10 2016.
  48. 1 2 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.
  49. Beever (2001), p.15.
  50. "531". LibraryofJuggling.com . Retrieved October 24, 2016.
  51. "531 Mills Mess". LibraryofJuggling.com . Retrieved October 24, 2016.
  52. "Five Three One", Aidan's Juggling Page. Accessed: 11 10 2016.
  53. "534" and "534 Mills Mess". LibraryofJuggling.com . Retrieved October 24, 2016.
  54. "Five Three Four", Aidan's Juggling Page. Accessed: November 3, 2016.
  55. "552". LibraryofJuggling.com . Retrieved October 24, 2016.
  56. "Five Five Two", Aidan's Juggling Page. Accessed: November 3, 2016.
  57. 1 2 3 Morgan, Alan (1996). "Siteswaps for the Masses", Juggling.org. Accessed: October 24, 2016.
  58. "Six One Five", Aidan's Juggling Page. Accessed: November 3, 2016.
  59. "Six Three Three", Aidan's Juggling Page. Accessed: November 3, 2016.
  60. "Four Ball Gap", Aidan's Juggling Page. Accessed: November 3, 2016.
  61. "The Slow Half-Shower", Aidan's Juggling Page. Accessed: 11 10 2016.
  62. "5551". LibraryofJuggling.com . 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". LibraryofJuggling.com . Retrieved October 24, 2016.
  66. "Marden's Marvel", LibraryofJuggling.com and "Relf's Factory". LibraryofJuggling.com . Retrieved October 24, 2016.
  67. "Orinoco Flow". LibraryofJuggling.com . Retrieved October 24, 2016.
  68. "Frostbite" and "Mills Mess Shower". LibraryofJuggling.com . Retrieved October 24, 2016.
  69. Burns, Aidan. "The Chase", Aidan's Juggling Page. Siteswap: 55050. Accessed: November 3, 2016.
  70. 1 2 3 Lee, Xah (2005). "Siteswap", XahArts.org . Accessed: November 8, 2016.
  71. "Snake". LibraryofJuggling.com . Retrieved October 24, 2016.
  72. "Five One Four One Four", Aidan's Juggling Page. Accessed: 11 10 2016.
  73. "Romeo's Revenge". LibraryofJuggling.com . Retrieved October 24, 2016.
  74. "Boston Shuffle". LibraryofJuggling.com . Retrieved October 24, 2016.
  75. "Peter's Shuffle". LibraryofJuggling.com . Retrieved October 24, 2016.
  76. "Burke's Slam". LibraryofJuggling.com . Retrieved October 24, 2016.
  77. "Shuffler's Mess". LibraryofJuggling.com . Retrieved October 24, 2016.
  78. "Four Ball Tennis", Aidan's Juggling Page. Accessed: November 3, 2016.
  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". LibraryofJuggling.com . Retrieved October 24, 2016.
  82. "Five ball Gap ", Aidan's Juggling Page. Accessed: November 3, 2016.
  83. "Shower-Cascade". LibraryofJuggling.com . Retrieved October 24, 2016.
  84. "Relf's Rubensteins". LibraryofJuggling.com . Retrieved October 24, 2016.
  85. "Icelandic Shuffle". LibraryofJuggling.com . 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."
  87. 1 2 Beever (2001), p.9.
  88. "The Three Ball Half-Shower (4x,2x)", Aidan's Juggling Page. Accessed: November 3, 2016.
  89. "Fake Columns", "Yo-Yo", and "Oy-Oy". LibraryofJuggling.com . Retrieved October 24, 2016.
  90. "Box". LibraryofJuggling.com . Retrieved October 24, 2016.
  91. "The Box (4,2x)(2x,4)", Aidan's Juggling Page. Accessed: November 3, 2016.
  92. "Four Ball Columns", "Pistons", "Synchronous Pistons", and "Synchronous Fountain"; LibraryofJuggling.com. Accessed October 24, 2016.
  93. "Synchronous Four Ball Fountain", Aidan's Juggling Page. Accessed: 11 10 2016.
  94. "Columns". LibraryofJuggling.com . Retrieved October 24, 2016.
  95. "One Up Two Up", Aidan's Juggling Page. Accessed: November 3, 2016.
  96. "Infinity" and "Reverse Infinity". LibraryofJuggling.com . Retrieved October 24, 2016.
  97. 1 2 3 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". LibraryofJuggling.com . 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.