title: Some help rendering the Mandelbrot set
body: <p>I have been given some work to do with the fractal visualisation of the Mandelbrot set.</p>
  
  <p>I'm not looking for a complete solution (naturally), I'm asking for help with regard to the orbits of complex numbers.</p>
  
  <p>Say I have a given <code>Complex</code> number derived from a point on the complex plane. I now need to iterate over its orbit sequence and plot points according to whether the orbits increase by orders of magnitude or not. </p>
  
  <p>How do I gather the orbits of a complex number? Any guidance is much appreciated (links etc). Any pointers on Math functions needed to test the orbit sequence e.g. <code>Math.pow()</code></p>
  
  <p>I'm using Java but that's not particularly relevant here.</p>
  
  <p>Thanks again,
  Alex </p>