Description
From the Fibonacci Sequence (1,1,2,3,5,8,13,21,34,55,89,144&c.) to the Dragon Fractal to the Mandelbrot set. Fractals are everywhere. Everything in nature is modeled from a fractal of some kind, be it shorelines along the coasts of continents or the patterns of twigs, branches and limbs growing from the trunks of trees - even the way capillaries split off of vessels, veins, and arteries. The Fibonacci Sequence likewise seems to be ubiquitous throughout the universe, as just about everywhere you look the world conforms to the spiral (Ram's horns, Swan necks, Seahorse tails, the shape of the Human ear, the Ear canal, Nautilus shells, Sunflower seed formations, Hurricanes, Galaxies &c.) But it goes even farther than that! There is the Gosper curve, the L-system, the Douady rabbit, the Sierpinski triangle, the Hexaflake, the Pentaflake, Penrose tiling, the Julia Set, and of course, Mandelbrot - fractals are everywhere. Understanding them can unlock mysterious secrets of the universe!
