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The Sierpinski triangle is a fractal whose envelope is an
equilateral triangle and which is composed of three half-sized Sierpinski triangles.

A fractal is a geometric shape which is
self-similar and has fractional dimension.The Polish
mathematician Waclaw Sierpinski (1882-1969) introduced his
fractal in 1916.
See also:The
Sierpinski Triangle & Machu Picchu Fractal illustration with
animation. Machu Picchu
and Geometric Art