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 …

Dec 20, 2025 · 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.

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 24, 2025 · A fractal is a never-ending, repeating pattern that appears similar at different scales. These intricate geometric structures are fundamental elements woven into the world around us.

Jan 1, 2026 · Using fractal logic also helps us understand the natural world. If a whole can be broken down into its parts, each of which is described by the same mathematical equation, we can simplify …

Aug 19, 2025 · Described by Benoit B. Mandelbrot in 1975, these irregular shapes are everywhere. One of the most famous fractals is the Mandelbrot Set, which demonstrates the property of self-similarity. …

Jan 29, 2024 · Fractal is a pattern that never ends. It elaborates mathematical constructs that exhibit self-similarity, meaning they display similar patterns or structures when zoomed in or out.

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A Fractal is a type of mathematical shape that are infinitely complex. In essence, a Fractal is a pattern that repeats forever, and every part of the Fractal, regardless of how zoomed in, or zoomed out you …