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3D computer illustration of a of a Sierpinski Triangle. Also called the Sierpinski Gasket or Sieve, it is a fractal and attractive fixed set with the overall shape of an equilateral triangle, subdivided recursively into smaller equilateral triangles. Originally constructed as a curve, this is one of the basic examples of self-similar sets, ie. it is a mathematically generated pattern that can be reproducible at at any magnification or reduction. It is named after the Polish mathematician Waclaw Siepinski, but appeared as a decorative pattern many centuries before Sierpinski.

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