Essay Database

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 …

…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.