As it happens, these four lines can serve as a perfect metaphor for the infinitely detailed, "self-similar" nature of fractals. In this interactive, zoom deep into a Mandelbrot set, the most ...

Fractals are sometimes referred to as a “visual representation of math.” They can be observed in the spatial arrangements found in many familiar forms, patterns, and shapes in nature: from ...

Mandelbrot’s revolutionary philosophy, presented in his 1982 manifesto, The Fractal Geometry of Nature, argued that scientific methods could be adapted to study vast classes of irregular ...

Romanesco broccoli displays its fractal-esque nature. Fractals show self-similarity ... see this 1999 SciAm article written by Benoit Mandelbrot, the pioneer of fractal geometry, on their role ...

Even if you don’t understand the mathematics behind it, you’ve likely seen the complicated fractal images generated by zooming in on the border of the Mandelbrot set. [Scott Williamson] not ...

Mandelbrot explored this fractal property of infinite complexity in his work, which was then taken up by a digital animator to create extremely life-like surfaces in his films. This clip is from ...

[Wancheng’s] Dancing Mandelbrot Set uses an FPGA and some math to generate a controllable fractal display. The build produces a Mandelbrot Set with colours that are modified by an audio input.