When it comes to the study of both human nature and the natural world, one must be willing to reckon with the fact that a certain degree of chaos will be present in whatever facets of this planet they ...

Benoit Mandelbrot, the Polish-born, French and American mathematician, known as the "father of fractal geometry," is celebrated in today's Google Doodle, on what would have been his 96th birthday.

This paper provides a description for the quadratic polynomials on the boundary of the Mandelbrot set M which are typical in the sense of harmonic measure. In particular, it is shown that a typical ...

Discover how fractals simplify market chaos, identify reversal points, and enhance your trading strategy. Learn patterns and ...

The Mandelbrot set is — when visualized with some colors — an interesting shape with infinite detail. While the patterns are immediately obvious to the human eye, anyone who’s run one can tell you ...

When faced with an FPGA, some people might use it to visualize the Mandelbrot set. Others might use it to make CPUs. But what happens if you combine the two? [Michael Kohn] shows us what happens with ...

Mathematics Magazine presents articles and notes on undergraduate mathematical topics in a lively expository style that appeals to students and faculty throughout the undergraduate years. The journal ...

Drawn from the irregular shapes and processes found in nature, his research benefited a wide array of fields, from art to physics and finance. Steven Musil is the night news editor at CNET News. He's ...