As mathematical equations, fractals are usually nowhere differentiable, which means that they cannot be measured in traditional ways. An infinite fractal curve can be perceived of as winding through space differently from an ordinary line, still being a 1-dimensional line yet having a fractal dimension indicating it also resembles a surface. A fractal is a mathematical set that has a fractal dimension that usually exceeds its topological dimension and may fall between the integers. (wiki)
Jack (John) OShea was my art teacher the year Fractals became envogue. we were very hip.
Perspective and mysterious things HERE
Oh, The Mathematics. Sigh