Fibonacci and Fractals in Nature
Examples where mathematics can be seen in the things around us... 1. "Fibonacci Numbers and Nature" <http://www.maths.surrey.ac.uk/hosted-sites/R.Knott/Fibonacci/ fibnat.html> From rabbits to shells to flowers to vegetables, Fibonacci numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, etc) are everywhere in the natural world. 2. "Fractals in Nature" <http://www.miqel.com/fractals_math_patterns/visual-math-natural- fractals.html> A fractal is "a rough or fragmented geometric shape that can be split into parts, each of which is (at least approximately) a reduced-size copy of the whole," a property called self-similarity. [Wikipedia] Not just theoretical constructs, fractals are present in nature. More good stuff at miqel.com: * "PHI: The Golden Ratio or Golden Section" <http://www.miqel.com/fractals_math_patterns/visual-math-phi- golden.html> * "The Mandelbrot Set" <http://www.miqel.com/fractals_math_patterns/visual-math-mandelbrot- magic.html> * "Various Fractal Types and Categories of 'Chaos'" <http://www.miqel.com/fractals_math_patterns/visual_math_fractal_ types.html> 3. More Mathematics in Nature * "Maths in Nature" <http://www.abc.net.au/science/photos/mathsinnature/> * "Nature by Numbers: linking math to nature" <http://blog.makezine.com/archive/2010/03/nature_by_numbers_linking_ math_to_n.html> * "Geometry In Nature: The DNA of Design" <http://www.slideshare.net/MarkRosenhaus/geometry-in-nature>