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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
What are Fractals? - Fractal Foundation A fractal is a never-ending pattern 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
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
Fractal | Mathematics, Nature Art | Britannica 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 Fractals are distinct from the simple figures of classical, or Euclidean, geometry—the square, the circle, the sphere, and so forth
Fractals | Brilliant Math Science Wiki Fractals have detail at arbitrarily small scales and display irregularity that cannot be described by traditional geometrical language
FRACTAL Definition Meaning - Merriam-Webster The meaning of FRACTAL is any of various extremely irregular curves or shapes for which any suitably chosen part is similar in shape to a given larger or smaller part when magnified or reduced to the same size
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 -- 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
Fractal Geometry A tutorial on basic fractal geometry and a panorama of uses of fractals, with supporting software, laboratory exercises, and resources for teachers