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What Are Fractals?

 

I recently read a definition of fractals that I thought was really nice.

It read that a fractal is: "A shape that can be repeatedly subdivided into parts, each of which is a smaller copy of the whole e.g. from the macrocosm of our Universe to the microcosm of the frond of the leaf of a Fern" (windchimes.co.za/dictionary.html)

I've heard them described other ways too, such as that they are mathematical formulas repeated hundreds of thousands of times and as a result, form a pattern which never repeats itself the same way twice, in other words, they are a visual representation of the theory of chaos.

For me they are spiritual in nature. I like to think of them like snowflakes, no two are exactly alike. Like watercolors, I don't have total control over the medium, rather I have to to work with it. A good captain of a ship knows that he doesn't control the ocean, but as long as he knows the direction he's going and the nature of the currents, he will reach his destination. I never know exactly where a given fractal will take me, but as l long as I work with it's nature, I will arrive at a wondrous place.

My goal when working with them is to create reflections of the world and universe around me. It always amazes me that when I am working with a fractal, there is some reflection of what is going on with me at that moment which comes through in the art.

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