I didn't go to the link but aren't fractals based on nature in how it repeats its self. Do you have to digitalize the painting so you can display it on the computer screen or in other words you create not paint hence "made"
Your definition is too vague, fractal does not have to represent the nature, although some can create similar structures. It is simply a formula that repeats many times and generates a curve with fractional dimension. So far by combining layers with such formulas, I made my pictures. And one in not obliged to show repetitive structures, it depends of the artist's choice.
Thank you for the information, you learn something every day. Yes I understand fractals and that they can be created with a formula but that's because they were first proven to be in nature and helped in the intelligent design theory. But do you really paint?