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  • 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
  • How Fractals Work - HowStuffWorks
    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 applications of fractals came about well before the use of the term
  • 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 recursion, fractals are images of dynamic systems – the pictures of Chaos
  • 9 Amazing Fractals Found in Nature - Treehugger
    Take a tour through the magical world of natural fractals and discover the complex patterns of succulents, rivers, leaf veins, crystals, and more
  • Fractal | Mathematics, Nature Art | Britannica
    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 many irregularly shaped objects or spatially nonuniform phenomena in nature such as coastlines and mountain ranges
  • 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 Mandelbrot and Julia sets In this section, we collect examples of fractals in all scales in nature
  • Fractals in Math - Definition, Types, Examples
    Fractal geometry deals with complexity and irregularity While on the other hand, traditional Euclidean geometry, deals primarily with simple shapes such as circles, squares, and triangles Fractals have three basic types which are below Now we explain all of them briefly
  • 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 and most bizarre objects in all of mathematics
  • Fractal Definition (Illustrated Mathematics Dictionary) - Math is Fun
    Fractals have a pattern that we see again after zooming in Many things in the real world are like fractals: trees, shorelines, broccoli, lungs, ocean surface, etc (Note: the name "fractal" comes from the more technical definition involving "fractional dimensions"!)
  • Fractal -- from Wolfram MathWorld
    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 same "type" of structures must appear on all scales





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