A fractal is a never-ending pattern. Fractals are infinitely complex patterns that are self-similar across different scales. They are created by repeating a simple process over and over in an ongoing feedback loop. Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos. Geometrically, they exist in between our familiar dimensions. Fractal patterns are extremely ...
Fractals also arise by repeating a simple calculation many times, and feeding the output into the input. The first such fractal we consider is named after Benoit Mandelbrot, who coined the word fractal in the 1960s to capture the idea of fragmentation at all scales.
Learn what a fractal is and what fractals are good for. See examples of natural fractals and artwork made using mathematical equations.
Fractals have been around forever but were only defined in the last quarter of the 20th century. Think you can wrap your brain around how fractals work?
Fractals & Topology Research | Fractals Discover cutting-edge fractals and topology research at Fractals journal. Submit your paper or explore our latest insights on complex geometries!
Fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix Hausdorff in 1918. Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the
Fractals represent complex mathematical objects that have been extensively studied as well as depicted by mathematicians, artists, and scientists because of their repetitive features. Referring to the shapes that are different from the simple geometric forms, fractals possess one unique feature that is called self-similarity, and what this means is that each and every part of it is in some way ...