Sierpinski Triangle

A Sierpinski Triangle, also called as Sierpinski Gasket or Sierpinski Sieve is a fractal named after the description of Waclaw Sierpinski in 1915. It is one of the basic examples of similar sets and is mathematically generated pattern that can be reproducible at any magnification or reduction.

The construction begins with any triangle in a plane. The conical Sierpinski Triangle uses an equilateral triangle with a parallel base to the horizontal axis. Then shrink the triangle to one-half height and one-half width, make three copies and position the three shrunken triangles so that each triangle touches the two triangles at a corner. The emergences of the central hole is noted because it is the most important feature in a Sierpinski Triangle. Then repeat the steps with each of the smaller triangles.