Constructing a Golden Rectangle

The Golden Ratio was originally derived from the golden rectangle. The following is one method to construct a golden rectangle:

circle.gif

Given: a square ABCD

  1. Find midpoint on DC.
  2. Connect MB.
  3. Draw a circle with the center of M, radius of MB.
  4. Expand the DC until it meets with the circle. The intersection is one vertex of the rectangle.
  5. Complete the rectangle.

During the whole process, we have made the two exactly proportional rectangles, each with the side ratio Φ, the Golden Ratio.

 

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