SIERPINSKI'S TRIANGLE

Probably, the most simpliest fractal is the Sierpinski's Triangle, as seen above.

The way Sierpinkski created this triangle is quite simple.

• Begin with an equilateral triangle (fig. 2, first image). It doesn't necessarily have to be equilateral but for our purposes we will use one.
• Connect the midpoints of each side to form four separate triangles, and cut out the triangle in the center (fig. 2, second image).
• For each of the three remaining triangles, perform this same act (fig. 2, third image).
• Iterate infinitely (fig 2., final image).
  
  Fig. 2: Steps in creating Sierpinski's Triangle

  The result, as you can see, is the Sierpinski triangle. As you can see, some fractals can be generated quite easily.