understanding fractal

fractal design understanding design: key concepts examples self-similarity iteration complex patterns nonlinear structure mathematical art dimension recursive geometric shapes benoit mandelbrot chaos theory natural phenomena scaling repetition symmetry detail koch snowflake sierpinski triangle barnsley fern julia set menger sponge cantor lorenz attractor landscape self-affinity music golden ratio progression recursion geometry compression interpolation flames dimensionality dynamics processing light network robots kinetics cosmology finance economy analysis forecasting intelligence nature