# Unit 3 discussion: chapter 5, the golden ratio and the fibonacci

The Golden Ratio is often denoted by the Greek letter phi:  φ.  Its exact value is 1+52 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:

11=1, 21=2, 32=1.5, 53=1.67, 85=1.6, 138=1.625, 2113=1.615, …

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

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

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.
• Please answer any questions posed in the instructor’s response to your post(s).
• All posts should be relevant to the week’s topic(s) and should include substantive, correct math content.
• All posts should be grammatically correct – please use Spellcheck as necessary.
• Please use APA citation format if you get help from another source (our textbook, another book, a website, etc.). Try to use your own words!