French-American mathematician Benoit Mandelbrot has died of cancer at the age of 85 in Cambridge, Massachusetts. Mandelbrot was most famously known for his work in exploring the mathematical shapes ...

Fractal geometry investigates complex shapes that exhibit self-similarity across multiple scales, while spectral analysis focuses on the study of the eigenvalues and eigenfunctions of operators, most ...

Oliver Wendell Holmes famously once wrote, "A mind that is stretched by a new experience can never go back to its old dimensions." My mind, and assuredly those of countless others, never did after ...

Fractals are intricate geometric structures created when patterns (or pieced of patterns) are altered and duplicated at ever-diminishing scales. Even simple shapes can quickly grow complicated when ...

A mathematician has developed a new way to uncover simple patterns that might underlie apparently complex systems, such as clouds, cracks in materials or the movement of the stockmarket. The method, ...

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.

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 ...

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 ...

Frax, a new iOS app, leverages the computational oomph in your new iPhone to make dizzying detailed mathematical art. Frax, to its credit, leans right into the “ooh, neat colors!” aspect of fractal ...

You may not know it, but fractals, like the air you breathe, are all around you. Their irregular, repeating shapes are found in cloud formations and tree limbs, in stalks of broccoli and craggy ...