The fractals on these pages were all created in Apophysis, a tool which I highly recommend to anyone who enjoys exploring the wonder and beauty that is the world of fractal art, rather than being constrained to a few predetermined fractal formulae, such as the famous Mandelbrot Set.
These are not the only fractal pieces in my collection; you can find a few pieces among those I created in Logo. While we think of fractals as the result of extremely complex mathematical equations, their only real requirement is that they be recursive and capable of infinite changes of scale without loss of the nature of the image. As you can see from the simple fractal pieces included there, it doesn't take extreme complexity to meet those requirements.
That is why fractals are the mathematical language of nature — from the growth of a tree to the veins of a leaf to the petals of a flower, even the ripples in a pond, nature is filled with patterns that repeat in a way that change only in scale as they progress from small to large, or vice versa.
As you can see here, I delight in fractal artwork — and so I could not resist this opportunity to write my own programs to generate it in its simplest of forms. Just remember — you don't have to know the math to appreciate fractals — any more than a tree or a rose or a raindrop needs to know the math in order to generate them. Just enjoy them for what they are, as you would the tree, or the rose; I assure you, they will be none the less beautiful for that.
