A fractal a visual graph of an equation involving the repetition, or reiteration, of a [geometric figure]?.
With a computer, an equation can be graphed visually. Not only that, but, it can be beautiful to see! Whether seen on a computer screen, or printed out on paper, fractal art can be colorful, visually stimulating, and fun to make. Why not try it yourself, if you haven't yet?
Free programs are available on the internet, which make graphing, exploring, printing, and enjoying fractal art easy, but challenging.
The Mandelbrot set is named after Benoit B. Mandelbrot who first used a computer to graph number sets.
The general form is:
f(z) = z2 + c
The basis for [Julia set]?s
is the [iterative transformation]?s
of the form:
x2 = x2 + a and y2 = 2xy + b
Colored number sets, displayed on computer screens, or printed on paper, represent some of the most beautiful, compelling images, you will ever see.
Many Fractal Art Galleries can now be found on the internet. Perhaps a good starting point would be the fractal pages of [Stephen C. Ferguson]? who has made several fractal viewers. One good URL is http://www.eclectasy.com/Iterations-et-Flarium24
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