Fractals: Infinite Iteration

Fractal geometry is a fascinating and relatively new branch of mathematics which studies complicated, iterative figures known as fractals. Unlike the smooth regularity of classical mathematics, fractal geometry allows us to understand and model the chaotic and irregular natural world. Fractals display numerous curious properties and range widely from the simple Sierpinski Triangle to the complex Julia Set. Fractal geometry not only provides rich new insights into mathematics, but it also suggests that perhaps there isn't anything mathematics can't explain.