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  2. 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.

  3. 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.

  4. How Fractals Work - HowStuffWorks

    Oct 31, 2023 · At their most basic, fractals are a visual expression of a repeating pattern or formula that starts out simple and gets progressively more complex. One of the earliest …

  5. Fractals | Brilliant Math & Science Wiki

    Fractals have detail at arbitrarily small scales and display irregularity that cannot be described by traditional geometrical language. In other words, fractals are objects which, at any …

  6. Fractal | Mathematics, Nature & Art | Britannica

    May 9, 2025 · Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth. They are capable of describing …

  7. Fractals – Mathigon

    Fractals contain patterns at every level of magnification, and they can be created by repeating a procedure or iterating an equation infinitely many times. They are some of the most beautiful …

  8. 9 Amazing Fractals Found in Nature - Treehugger

    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.

  9. Fractals in Math - Definition, Types, & Examples

    Jan 29, 2024 · Fractal geometry deals with complexity and irregularity. While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, …

  10. Fractals: What are They? – Hadron - sites.imsa.edu

    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 …

  11. Fractal -- from Wolfram MathWorld

    Jun 27, 2025 · 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 …