The ratio is close to 1. Whoever first discovered these intriguing manifestations of geometry in nature must have been very excited about the discovery. A study of the Golden Ratio provides an intereting setting for enrichement activities for older students. Ideas involved are: ratio, similarity, sequences, constructions, and other concepts of algebra and goemetry. Finding the Golden Ratio. Now we will construct the Golden Rectangle. First we will construct a square ABCD.
Now we will measure the length and width of the rectangle. People find the golden rectangle in the Mona Lisa, and other Renaissance art works. If you start with a Golden Rectangle, you can divide it into a square and another Golden Rectangle. You can then repeat this pattern with each succeeding smaller rectangle. If arcs are drawn in the Golden Rectangle as shown, you get a very graceful curve that is closely related to the spiral of a nautilus seashell.
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