The Buddhaset (or Buddhabrot) is a special way of rendering the Mandelbrot-Set.
A program enters random starting-values into the basic formula z–>z²+c instead of just drawing the final result as described here each iteration point is drawn. This is repeated over and over – the more frequent an area is visited by iteration points, the brighter it will be coloured.
Nice freeware tool to create your own Buddhabrot-Renders.
All images below are pure buddhabrot-pictures with no editing besides minor contrast&colour adjustment.