Sierpinski triangle, fractal pattern

Sierpinski triangle, fractal pattern

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Credit: SCIENCE PHOTO LIBRARY

Caption: Sierpinski triangle (or gasket). Sequence showing the generation of a plane fractal described in 1915 by the Polish mathematician Waclaw Sierpinski (1882-1969). The sequence starts at upper left, and proceeds across top with the removal of a central triangle from the triangles created by the previous step. An advanced stage is shown at a larger scale at bottom. 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 gasket is a two-dimensional version of the Cantor set. It has a fractal dimension of approximately 1.585.

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Keywords: black-and-white, cantor set, diagram, fractal, fractal geometry, fractional dimensions, illustration, infinite, infinity, interation, iterative, mathematical, mathematics, maths function, monochrome, pattern, plane, recursion, recursive, sierpinski gasket, sierpinski triangle, sierpinski's, triangle, triangles, triangular, two dimensional, waclaw sierpinski

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