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:
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:
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.
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.
- 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!