Monday, May 3

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>