"Peitgen and Richter looked at one of the best-studied knids of phase transitions, magnetization and nonmagnetization in materials.  Their pictures of such boundaries displayed the peculiarly beautiful complexity that was coming to seem so natural, cauliflower shapes with progressive;y more tangled knobs and furrows.  As they varied the parameters and increased their magnification of details, one picture seemed more and more random, unitl suddenly, unexpectedly, deep in the heart of a bewildering region, appeared a familiar oblate form, studded with buds: the Madelbrot set, every tendril and every atom in place."

Gleick: "Chaos: Making a New Science"