In mathematics, a fractal is a geometric shape containing detailed structure at arbitrarily small scales, usually having a fractal dimension strictly exceeding the topological dimension.

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 familiar, since nature is …

So, you might be asking what exactly is a fractal? Well, a fractal, by definition, is a curve or geometric figure, each part of which has the same statistical character as the whole.

Jul 23, 2025 · What Are Fractals? A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole. This property is known as self-similarity. Fractals …

Oct 31, 2023 · Unconventional 20th-century mathematician Benoit Mandelbrot created the term "fractal" from the Latin word "fractus" (meaning irregular or fragmented) in 1975. You can find this type of …

Jan 30, 2026 · 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.

The meaning of FRACTAL is any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the …

Nov 26, 2024 · In mathematics, a fractal is a mathematical set defined by its self-similarity, meaning its structure doesn’t change under magnification. Exact self-similarity only appears in purely …

3 days ago · ICONS brings Fractal Audio’s industry-leading amp modeling to the world of plugins—and to your desktop as a standalone app. Built on the same algorithms as the award-winning Axe-Fx, …

A fractal is an infinitely complex pattern that repeats at every scale. This guide covers everything you need to know about fractal geometry — from nature to mathematics to modern AI.