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You know what that means, right? If you would like to play the animation again, double click the refresh button in the top right corner. These millions of cells must work in sync, contracting in just the right sequence at just the right time to produce a healthy heartbeat. The millions of cells that make up your heart are constantly contracting and relaxing separately as part of an intricate chaotic system with complicated attractors. The purpose of a defibrillator - the device that applies a large voltage of electricity across the heart - is not to "restart" the heart cells as such, but rather to give the chaotic system enough of a kick to move it off the fibrillating attractor and back to the healthy heartbeat attractor. The main benefit to having a chaotic heart is that tiny variations in the way those millions of cells contract serves to distribute the load more evenly, reducing wear and tear on your heart and allowing it to pump decades longer than would otherwise be possible. If the system is jolted somehow, it may find itself on an altogether different attractor called fibrillation, in which the cells constantly contract and relax in the wrong sequence.

It also allows us to accurately predict how the system will respond if it is jolted off its attractor. Mathematicians use the concept of a "phase space" to describe the possible behaviours of a system geometrically. The key to unlocking the hidden structure of a chaotic system is in determining its preferred set of behaviours - known to mathematicians as its attractor. An oil wick was set in the bathroom. But while they do have similarities, there are also distinct qualities that set them apart. There are some tempers which Satan must have had a hand in forming, and if others are fortunately not afflicted in the same way, they must remember that golf is a very irritating game. Yet other sources indicate that a variant of a ball-and-mallet game evolved into Billiards. The red ball is placed on the billiards table in the same location as the black ball in snooker.

The table and the cushioned rail bordering the table are topped with a feltlike tight-fitting cloth. Once this is done we just need to put together your thumb and index finger (the thumb should point up what we can) and cupping his hand as if to throw up our knuckles, so that the palm is separated from the cloth and only fingers and the fleshy parts with the wrist touching it. The behaviour of the system can be observed by placing a point at the location representing the starting configuration and watching how that point moves through the phase space. The branch of fractal mathematics, pioneered by the French American mathematician Benoît Mandelbröt, allows us to come to grips with the preferred behaviour of this system, even as the incredibly intricate shape of the attractor prevents us from predicting exactly how the system will evolve once it reaches it. The game is called Novuss, it is quite popular in Estonia and Latvia, to the point where semi-pro or even pro players exist. You can even get transparent billiard balls filled with glitter. The balls were shoved rather than struck with wooden sticks called "maces" that looked very similar to modern hockey sticks with small blades.

Snooker is played on the same table and with the same size balls used for English billiards. In mathematical billiards the ball bounces around according to the same rules as in ordinary billiards, but it has no mass, which means there is no friction. It was only during the late 1950’s after World War II that billiards lost its steam because people were poverty-stricken and did not have the time and means for games anymore. This means that the ball will bounce infinitely many times on the sides of the billiard table and keep going forever. To prove our claims above, we are going to exploit this simple idea, the mirror being one side of the billiard table. Mathematical billiards is an idealisation of what we experience on a regular pool table. The width is usually half the length of the table. If released above the water it will fall, and if released underwater it will float. Once there it clings to its attractor as it is buffeted to and fro in a literal sea of chaos, and quickly moves back to the surface if temporarily thrown above or dumped below the waves. Truth be told, he is back!

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