Fractal geometry is a field of math born in the 1970s and mainly developed by Benoit Mandelbrot. If you’ve already heard of fractals, you’ve probably seen the picture above. It’s called the Mandelbrot ...

Self-affine tiles and fractal geometry form a rich field where geometric precision meets the complexity of nature’s form. At its core, the subject examines how self-affine tiles—constructed via affine ...

Matt Metcalf is spending his summer doing math and hoping for a “Eureka!” moment. His ultimate goal is to generate original fractal tilings, they study of which may someday be used by video game ...

Overview : dynamics of simple maps / Robert L. Devaney -- Nonlinear oscillations and the Smale horseshoe map / Philip J. Holmes -- Fractal basin boundaries and chaotic attractors / Kathleen T.