CentralNotice From Wikipedia, the free encyclopedia Jump to: navigation , search This article needs additional citations for verification . Please help improve this article by adding citations to reliable sources . Unsourced material may be challenged and removed. (May 2009) Sierpinski triangle Generated using a random algorithm Sierpinski triangle in logic: The first 16 conjunctions of lexicographically ordered arguments The columns interpreted as binary numbers give 1, 3, 5, 15, 17, 51... (sequence A001317 in OEIS ) The Sierpinski triangle (also with the original orthography Sierpiński ), also called the Sierpinski gasket or the Sierpinski Sieve , 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 ...