Golden Spiral

  1. Consider the golden spiral, which often occurs in nature.
    Golden Spiral in Nature
  2. A golden spiral can be approximated by first starting with a rectangle for which the ratio between its length and width is the golden ratio. This rectangle can then be partitioned into a square and a similar rectangle and this rectangle can then be split in the same way. After continuing this process for an arbitrary number of steps, you may connect the corners of those squares by quarter-circles. The result closely approximates a golden spiral.
    Golden Spiral
  3. Write an MFC program to draw a series of rectangles and arcs to approximate a golden spiral.
    My Golden Spiral