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 ...

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, ...

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 ...

The mathematician Stephen Wolfram made a bold pronouncement last summer: The universe, in all of its infinite complexity, is the result of less than a handful of computational rules. That is, you ...

Fractals: On the Edge of Chaos by Oliver Linton Bloomsbury, 2021 ($14) Most of the shapes found in nature cannot be described mathematically using classical geometry. Rather than simple straight lines ...

A bacterium has evolved an enzyme that assembles in a fractal structure, a mathematical pattern that repeats itself at smaller scales. Fractal patterns are found throughout nature on large, ...