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The Golden Ratio is often denoted by the Greek letter phi:  φ.  Its exact value is 1+5√2 which is approximately equal to 1.618.

In this chapter, we saw how successive quotients of the Fibonacci Numbers get closer and closer to the Golden Ratio:

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1/1=1, 2/1=2, 3/2=1.5, 5/3=1.67, 8/5=1.6, 13/8=1.625, 12/13=1.615, …

Many people believe that the Golden Ratio, Golden Rectangles, and the Fibonacci Numbers “appear” in the real world in places such as:

• Art
• Architecture
• Nature

Please research at least one example of such an “appearance” in art, architecture, nature, or someplace else in the real world and post your findings.

## Directions

Participation in Discussion Boards is a required part of this class (5% of your overall course average).

The requirements for this graded Discussion Board are:

• Your initial post is due by the 3rd day of the Discussion Board and must contain at least 100 words.
• You must respond to at least two classmates, and your response posts must contain at least 50 words.