Sierpinski carpet, fractal pattern

Sierpinski carpet, fractal pattern

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Credit: SCIENCE PHOTO LIBRARY

Caption: Sierpinski carpet. Sequence showing the generation of a plane fractal described in 1916 by the Polish mathematician Waclaw Sierpinski (1882-1969). The sequence starts at upper left, with the removal of a central square from a three-by-three grid of black squares. This process is repeated with the remaining 8 squares (upper right), and repeated again (lower left) and again (lower right). This is an example of a fractal, a geometric pattern that is recursively generated and has the same overall appearance at all levels of magnification. The Sierpinski carpet is a two-dimensional version of the Cantor set. It has a fractal dimension of approximately 1.8928.

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Keywords: 4, black-and-white, cantor set, diagram, four, fractal, fractal geometry, fractional dimensions, illustration, infinite, infinity, iteration, iterative, mathematical, mathematics, maths function, monochrome, pattern, plane, quartet, recursion, recursive, sierpinski carpet, sierpinski's, square, squares, two dimensional, waclaw sierpinski

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