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.

Mar 11, 2026 · A fractal is a geometric pattern that repeats itself at every scale. Zoom into a small piece of a fractal and you’ll see a shape that looks like the whole thing. Unlike the smooth lines and circles …

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 …

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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 …

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.

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.

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 …

May 12, 2016 · Here are the basics. What Is a Fractal? A fractal is a mathematical equation that displays a repeating pattern, no matter what scale you examine it. It can also be described as a …

Mar 11, 2026 · A fractal is an object or quantity that displays self-similarity, in a somewhat technical sense, on all scales. The object need not exhibit exactly the same structure at all scales, but the …