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.

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.

May 30, 2024 · Take a tour through the magical world of natural fractals and discover the complex patterns of succulents, rivers, leaf veins, crystals, and more.

Jul 23, 2025 · Fractals are typically created by repeating a simple process over and over in an ongoing feedback loop. They often exhibit intricate patterns that are self-similar across …

Oct 31, 2023 · You can create fractals with mathematical equations and algorithms, but there are also fractals in nature. At their most basic, fractals are a visual expression of a repeating …

Jan 3, 2023 · Discover what fractals are, why they matter in math and science, and explore 10 amazing examples of fractals found in nature, from rivers to snowflakes.

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.

A tutorial on basic fractal geometry and a panorama of uses of fractals, with supporting software, laboratory exercises, and resources for teachers

Fractals are useful in modeling structures (such as eroded coastlines or snowflakes) in which similar patterns recur at progressively smaller scales, and in describing partly random or …

5 days ago · There is a bit of back-and-forth about exactly how many patterns are observed in nature, but the most common five seem to be spiral, meander, explosion, packing, and …