Cascade (juggling)

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Cascade
3-ball cascade movie.gif
Minimum prop #: 3
Difficulty: Cascade: 2/10, [1] 3 [2] Reverse cascade: 4/10, [3] Tennis: 2/10, [4] Half-Shower: 3/10 [5] (note: difficulty ratings are arbitrary and subject to change)
Siteswap: 3
Shannon: 12
Period: 1
Parity: odd
Notes: symmetrical, asynchronous
Ladder diagram Juggling - 3-ball cascade (3) ladder diagram.svg
Ladder diagram
Three depictions of the path traveled by balls in the pattern. Down arrows on the outside lines = cascade, up arrows = reverse.

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, [12] [13] 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. [14] "Balls or other props follow a horizontal figure-eight [or hourglass figure] pattern above the hands." [15] In siteswap, each throw in a cascade is notated using the number of balls; thus a three ball cascade is "3".

Contents

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.

[12]

"In the cascade...the crossing of the balls between the hands demands that one hand catches at the same rate that the other hand throws [ synchronization ]. The hands also take turns [ coupled oscillation ]..." [9]

Number of props

Three-ball

For the three-ball cascade the juggler starts with two balls in one hand and the third ball in the other hand. One ball is thrown from the first hand in an arc to the other hand. Before catching this ball the juggler must throw the ball in the receiving hand, in a similar arc, to the first hand. The pattern continues in this manner with each hand in turn throwing one ball and catching another.

All balls are caught on the outside of the pattern (on the far left and right) and thrown from closer to the middle of the pattern. The hand moves toward the middle to throw, and back towards the outside to catch the next object. Because the hands must move up and down when throwing and catching, putting this movement together causes the left hand to move in a counterclockwise motion, and the right hand to move in a clockwise motion.

This pattern is achievable with a wide array of props besides regular balls. Commonly used props are clubs, rings and scarves. Because of their slow falling speed due to high air resistance, scarves are often used as a first prop for beginning jugglers.

The cascade is only performed with an odd number of objects (3, 5, 7, etc.) The basic pattern for an even number of objects is the fountain.

Greater numbers

5-ball cascade 5-ball cascade movie.gif
5-ball cascade
Valentin Chernov (1987), 7 prop cascade Chernov, Vlaentin.jpg
Valentin Chernov (1987), 7 prop cascade

When extended to higher numbers of props (five, seven, nine, etc.) the cascade maintains the basic pattern of throwing one prop before catching another on its way down. Higher numbers require the balls to be tossed higher into the air in order to allow more time for a complete cycle of throws. However, in order to keep the number of props in the juggler's hands to a minimum, it is necessary to begin the pattern by throwing, from alternating hands, all but one prop (in the same hand as the first throw, which started with one more prop than the other) before any catches are made.

Reverse cascade

An illustration of the three-ball reverse cascade. 3-ball reverse cascade movie.gif
An illustration of the three-ball reverse cascade.

The reverse cascade, or outside cascade, [16] is a juggling pattern in which the props follow the same path as the cascade, but with time going backwards, hence the 'reverse'. One throws every ball with, "an outward instead of an inward scoop," and throws, "every ball over the incoming ball rather than under it." [17]

The pattern is performed with an odd number of props. As in the cascade, props are thrown from alternating hands and each prop is caught in the opposite hand from which it was thrown. The key difference between a regular cascade and the reverse cascade (from a juggler's point of view) is that one throws each object over rather than under the others, i.e., outside rather than inside.

While in a cascade objects are caught on the outside of the pattern (on the far left and right) and thrown from closer to the middle of the pattern, causing each ball to pass under the ball previously thrown, in a reverse cascade objects are caught near the middle of the pattern and thrown from the outside, causing each ball to pass above the ball previously thrown. Thus from the juggler's perspective the left hand moves in a clockwise motion, and the right hand in a counterclockwise motion.

The reverse cascade is generally considered to be more difficult to perform than the cascade, with a difficulty rating of 4 rather than 2 out of 10. [1] The reverse cascade is, "perhaps the simplest," of, "several possible patterns that can be juggled with crossed arms." [18]

Tennis

Juggling 3 ball tennis shape.svg
Juggling 3 ball reverse tennis shape.svg
Path traveled by balls in the tennis and reverse tennis patterns.

Many tricks or patterns are generated from mixing cascade and reverse cascade throws. For example, for tennis (siteswap: 3 [4] ) one ball is thrown over (reverse) while the other two are thrown under (inside). One juggles, "a cascade with two balls while the 'tennis' ball is thrown [back and forth] over the top." [19]

Reverse tennis is where one ball is thrown inside while the other two are thrown over.

Chops

Chops is a juggling pattern based on the cascade, performed with 3 objects that involves a semicircular carry performed with either one or both hands (Single Chops/Double Chops). Chops can be performed continuously, by one or both hands, or in single instances.

The distinctive carry occurs at the moment of catch; rather than returning the ball into the cascade pattern the juggler carries the ball in his/her hand in a downward-pointing semicircle over the ball just thrown by the other hand, in the case of single chops, or over the other hand, in the case of double chops. At the end of the semicircular movement the carried ball is tossed virtually straight up to be caught by the other hand. The hand used to carry then quickly returns to its original position to catch the ball that was thrown by the other hand.

This pattern is of medium difficulty since very fast and controlled arm movements are necessary, though with practice, the pattern can actually be performed in a slow-looking motion.

Variants

Named variants include the "overhead cascade" [20] [21] and a virtually infinite number of cascade patterns such as 522, 720, 900, 72222, and so on (see article on Siteswap notation). [22]

Shannon's theorem

An illustration of Shannon's juggling theorem for the cascade juggling pattern Juggling Shannon's theorem Cascade.png
An illustration of Shannon's juggling theorem for the cascade juggling pattern
Cascade ladder suggested by Shannon's formula Juggling - 3-ball cascade (3) ladder diagram Shannon.svg
Cascade ladder suggested by Shannon's formula

Claude Shannon, builder of the first juggling robot, developed a juggling theorem, relating the time balls spend in the air and in the hands: (F+D)H=(V+D)N, where F = time a ball spends in the air, D = time a ball spends in a hand/time a hand is full, V = time a hand is vacant, N = number of balls, and H = number of hands. [9] For example, a hand's and a ball's perspectives in the two-hand (H) three-ball (N) cascade pattern:

      1st 2nd 3rd hand: D--VD—VD--V ball: D--F--D--F--       R     L
(F+D)H=(V+D)N
(3+3)2=(1+3)3
6×2=4×3
12=12

Related Research Articles

Juggling 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 also possible with feet. 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.

Siteswap 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 positive 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."

Fountain (juggling)

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."

Multiplex (juggling)

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.

Mills Mess 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."

Juggling club 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.

Box (juggling)

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).

Flash (juggling)

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.

Columns (juggling)

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.

Passing (juggling) 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.

Rubensteins Revenge

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.

Toss juggling 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.

Shower (juggling) 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.

Juggling practice has developed a wide range of patterns and forms which involve different types of manipulation, different props, numbers of props, and numbers of jugglers. The forms of juggling shown here are practiced by amateur, non-performing, hobby jugglers as well as by professional jugglers. The variations of juggling shown here are extensive but not exhaustive as juggling practice develops and creates new patterns on a regular basis. Jugglers do not consciously isolate their juggling into one of the categories shown; instead most jugglers will practice two or more forms, combining the varieties of juggling practice. Some forms are commonly mixed, for example: numbers and patterns with balls; while others are rarely mixed, for example: contact numbers passing. Many Western jugglers also practice other forms of object manipulation, such as diabolo, devil sticks, cigar box manipulation, fire-spinning, contact juggling, hat manipulation, poi, staff-spinning, balancing tricks, bar flair and general circus skills.

Juggling notation

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.

Juggling ball 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.

Juggling pattern

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.

Claw (juggling)

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.

Juggling terminology, juggling terms:

References

  1. 1 2 "Cascade". LibraryofJuggling.com . Retrieved July 8, 2014.
  2. Beever, Ben (2001). "Siteswap Ben's Guide to Juggling Patterns", p.24, JugglingEdge.com. BenBeever.com at the Wayback Machine (archived August 10, 2015).
  3. "Reverse Cascade". LibraryofJuggling.com . Retrieved November 10, 2016.
  4. 1 2 "Juggler's Tennis". LibraryofJuggling.com . Retrieved November 10, 2016.
  5. "Half-Shower". LibraryofJuggling.com . Retrieved November 10, 2016.
  6. Beever (2001), p.4.
  7. "Cascade", Solipsys.co.UK.
  8. Darbyshire, Lydia; ed. (1993). Juggling, p.10-3. Siddall, Jeremy; illustrations. Courage. ISBN   1-56138-224-8.
  9. 1 2 3 Beek, Peter J. and Lewbel, Arthur (1995). "The Science of Juggling Archived 2016-03-04 at the Wayback Machine ", Scientific American.
  10. Besmehn, Bobby (1994). Juggling Step-by-Step, p.30. Sterling. ISBN   0-8069-0815-7.
  11. Darbyshire (1993), p.29. Crossed-arm variation of the reverse-cascade.
  12. 1 2 Bernstein, Nicholai A. (1996). Dexterity and Its Development, p.379. ISBN   9781410603357.
  13. "The 3 Ball Cascade", Tunbridge Wells Juggling Club (TWJC). Accessed July 9, 2014. "The cascade is the simplest three ball juggling pattern."
  14. Darbyshire (1993), p.15.
  15. Crego, Robert (2003). Sports and Games of the 18th and 19th Centuries, p.19. ISBN   9780313316104.
  16. Cassidy, John and Rimbeaux, B.C. (1988). Juggling for the Complete Klutz, p.47. Klutz Press. Third edition. ISBN   0-932592-00-7.
  17. Darbyshire (1993), p.21.
  18. Darbyshire (1993), p.29.
  19. Darbyshire (1993), p.23.
  20. "Overhead cascade", Tunbridge Wells Juggling Club. "Juggling with your arms up in the air above your head & looking up from underneath the pattern."
  21. Darbyshire (1993), p.22.
  22. Beever, Ben (2001), p.15.