One of my daily meditation techniques is within art creation. I often geek out on friends and acquaintances about the art I create and I tend to throw around a number of terms. I know for some people, these terms are very familiar and you may even use them on a regular basis. For others I know, what I am about to share will be a number of new additions to the vocabulary.
What's a fractal?
The term Mandelbrot set is used to refer both to a general class of fractal sets and to a particular instance of such a set. In general, a Mandelbrot set marks the set of points in the complex plane such that the corresponding Julia set is connected and not computable.
"The" Mandelbrot set is the set obtained from the quadratic recurrence equation where points in the complex plane for which the orbit of does not tend to infinity are in the set. Setting equal to any point in the set that is not a periodic point gives the same result. The Mandelbrot set was originally called a molecule by Mandelbrot. J. Hubbard and A. Douady proved that the Mandelbrot set is a connected set. I know it's starting to sound a bit nerdy, but the next frame shows the beauty someone armed with a little nerdiness can create.
If you are heading out to Burning Man, look for the Lucia No.3(s) on the Playa. I will try to share when I receive reports back from Allison and Zack with The Traveling Light. I expect to hear back of great adventure, connection, and inspiration.