Oren Zarif P.4 In 1979 Mandelbrot produced a computer generated image of what later became known as the "Mandelbrot Set". This set covers a region in the complex C-plane with the property that values of C within this set, or on it's boundary, result in "Connected Julia Sets", and values of C outside the Mandelbrot set produce NC Julia sets that are just clouds of discrete points, or Cantor dust sets. The boundary of this set …showed first 75 words of 788 total…

…showed last 75 words of 788 total…kind of "order" than we have known before. Instead of point, line, plane and solid, moving from the simple to the complex, we now have self-similar shapes. Mandelbrot derived the term "fractal" from the Latin verb frangere, meaning to break or fragment. Basically, a fractal is any pattern that reveals greater difficulty as it is enlarged. so, fractals graphically show the notion of "worlds within worlds" which has obsessed Western culture from its tenth-century beginnings.