Fractal - Wikipedia
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.
What are Fractals? - Fractal Foundation
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 …
Fractal | Mathematics, Nature & Art | Britannica
2024年10月25日 · fractal, in mathematics, any of a class of complex geometric shapes that commonly have “fractional dimension,” a concept first introduced by the mathematician Felix …
How Fractals Work - HowStuffWorks
2023年10月31日 · 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 …
Fractals | Brilliant Math & Science Wiki
Fractals are fundamental to understanding many chaotic systems, and have many applications in sciences. They are also beautiful and mesmerizing objects, as we have seen with the …
Fractals in Math - Definition, Types, & Examples
2024年1月29日 · Fractal geometry deals with complexity and irregularity. While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, …
7.4: Fractals - Mathematics LibreTexts
2020年9月12日 · Fractals are mathematical sets, usually obtained through recursion, that exhibit interesting dimensional properties. We’ll explore what that sentence means through the rest of …
Fractal -- from Wolfram MathWorld
5 天之前 · 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 …
15: Fractals - Mathematics LibreTexts
Fractals are mathematical sets, usually obtained through recursion, that exhibit interesting dimensional properties. We’ll explore what that sentence means through the rest of the …
The fractals are constructed using a fixed geometric replacement rule: Cantor set, Sierpinski carpet or gasket, Peanocurve, Koch snowflake, Menger sponge.