You don't draw a fractal yourself, you tell a computer program what to do and it actually does the drawing for you. The program I am using is Ultra-Fractal and you can get extremely elaborate in what you tell it to do. Because it is so elaborate many, many different things can be drawn.
It also makes it complicated to use -- therefore the classes. The ones I am taking are by Janet Parke. They are quite interesting and useful and I recommend them highly.
Here are some links:
The academy gives classes in more than just Ultra Fractal although I haven't taken any.
Here are some of my recent images.
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