Design Statement

This program draws images that include a golden spiral by making use of complementary colors. A golden spiral is a spiral that moves away from the center with a ratio related to the golden ratio, which is approximately 1.618. 

Many artists have used golden ratio  because the art works proportioned in that way are believed to look more appealing to the eye. This is the reason why I wanted to draw images that contain elements which are proportioned by the golden ratio.

In the series of images that my program produces there are two places where golden ratio pops up. First, the big rectangle has sides whose ratio is the golden ratio. If we take out a square whose side is equal to the smaller side of the biggest rectangle, the rectangle left from the bigger one also has sides whose ratio is the golden ratio. As we keep removing the biggest square possible from a rectangle, the remaining rectangle always keeps the golden ratio property.

The second element with the golden ratio is the spiral itself. When we draw quarter circles tangent to the biggest possible squares in the rectangles, the spiral formed grows with a rate equal to a factor of the golden ratio.

In all the images the program produces the area outside the spiral is painted to a color complementary to the color inside the spiral. This, I hope, makes the images more appealing.