What Is The Mathematics Behind Juggling

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WHAT IS THE MATHEMATICS BEHIND JUGGLING
Introduction
Claude Shannon is a computer scientist who is known for a well developed reputation in information theory. Claude Shannon is also known for “A Mathematical Theory of Communication” whereby, the field of Information Theory was created. Claude Shannon was also known an avid juggler, unicyclist and a tinkerer. Claude Shannon but a robotic juggling machine out of the parts of an Erector set and programmed out into a juggle three metal balls by making the bounce against a drum. In 1980 Claude Shannon published the first formal mathematical theorem of juggling by correlating the length of time balls in the air and how long each ball stays in the hand of the juggler. In this theorem, the importance of the speed of the hand to a successful juggling is also demonstrated. Juggling is a very interesting phenomenon that is practiced by people on their day to day life. Often time these individuals lack the knowledge to understand that there is mathematics behind the juggling of balls. Therefore mathematics has been fascinated by juggling since the development of this theory and this is why main aim of wanting to discover thus topics in mathematics. The following essay elaborates the mathematics behind the ball juggling.
Juggling comes down to a simple projectile motion whereby each ball follows a neat parabolic arc when tossed. However, multiple balls fallow interweaving paths in a periodically repetitive pattern. For a single juggler, there are three basic patterns that are used. These patterns include the cascade the fountain and the shower. A cascade is a pattern whereby odd number of balls is tossed from one hand to the other in two separate columns. A fountain is where even numbers are juggled in two separate columns also. Lastly a shower is a type of pattern in which all balls are juggled that is the even and odd number of balls. It is also important to note that an experience juggler might throw more than one object from a single hand at the same time. This kind of practice is known as multiplexing.
There are different combinations of throw, so the manner in which the juggler decides to produce variety of patterns depends on the site swaps. This means the mathematical notation of system referred to as the siteswaps assists a juggle to link each ball to how long a particular ball stays in the air. It is described in terms of beats. The availability of mathematical tools has assisted jugglers to see a particular pattern before attempting the same trick in the physical world. Juggling holds an aesthetic and an Intellectual appeal for the mathematicians.
A connection that exists between two attempts of a juggler to develop a kind of nation of their trick is called Site swap. This notation can be used to describe the pattern of juggling and it also turns out that standard mathematical tricks can also be used to develop new patterns that people are not aware of. Mathematician and juggler Colin Wright truest to explain the mathematics behind ball juggling using the following theorem. In this theory the basic unit of site swap is the throw. Every time a ball is usually thrown is represented using site swap as a numbe...