You can also select the topic you're interested in from any of the links listed further below. Thank you for your visit and happy hunting. Look for match starting at the current point. If not found in either direction, give message. Not found anywhere, give message.
Fractals are generally self-similar and independent of scale.
All fractals in this web site and used on our ceramic coffee mugs are totally computer generated. Fractals also describe many real-world objects, such as clouds, mountains, turbulence, and coastlines, that do not correspond to simple geometric shapes. Benoit Mandelbrot gives a mathematical definition of a fractal as a set for which the Hausdorff Besicovich dimension strictly exceeds the topological dimension. However, he is not satisfied with this definition as it excludes sets one would consider fractals. Since we do not print directly on the mugs themselves but first on flat media which we then apply around the mugs, the slightest difference in the mug's physical dimensions, or the mug not being perfectly cylindrical and straight, causes these slight misalignments which can and do vary from mug to mug as not all mugs are created equal.