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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 Driven by recursion, fractals are images of dynamic systems – the pictures of Chaos Geometrically, they exist in between our familiar dimensions Fractal patterns are extremely familiar, since nature is full of fractals
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: Definition and How to Create Them? - GeeksforGeeks What Are Fractals? A fractal is a complex geometric shape that can be split into parts, each of which is a reduced-scale copy of the whole This property is known as self-similarity Fractals are typically created by repeating a simple process over and over in an ongoing feedback loop
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: What are They? - Hadron 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 purely mathematical fractals, such as the Koch snowflake, where the pattern repeats perfectly
Fractals in Math - Definition, Types, Examples 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
Fractals | Brilliant Math Science Wiki So, you might be asking what exactly is a fractal? Well, a fractal, by definition, is a curve or geometric figure, each part of which has the same statistical character as the whole
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