1. Aim: What is the Golden Section? Presented by : Kamile Perskaudaite, Nicole Maetta, Keith Newman, and Rawan Abouzeid

2. O Also known as the Golden Ratio O An irrational number, approximately 1.618, with special properties O Interesting property: The reciprocal of the Golden Ratio has the same decimal integers (1/1.618 = 0.618) O Found in nature, art, and architecture, it also used in geometry when finding ratios of distances in simple figures O Things with the Golden Ratio are visually appealing

3. Fibonacci Sequence and the Golden Ratio Related not in numbers, but ratios between numbers Whenever you divide a number in the sequence by the previous number, you obtain the Golden Ratio As you continue, the number gets closer to the ratio 1,1,2,3,5,8,13,21,34,55 … 2/12 3/21.5 5/31.67 8/51.6 13/81.625 21/131.615 34/211.619 55/341.618

4. The equation most commonly used to find the value of phi O Basic property: O Simplify like a normal quadratic function: O Substitute into quadratic formula:

5. The most common way of depicting the Golden Ratio: O Known as the Golden Section O a/b = b/c = phi

6. 1,1,2,3,5,8,13 … It’s the Fibonacci sequence!

8. Where else does the Golden Ratio exist?

9. Also applies to humans! O Dr. Stephen Marquardt developed the Marquardt beauty mask using the Golden Ratio O Can be applied to both genders and all races

10. Bibliography O http://cuip.uchicago.edu/~dlnarain/golden /activity8.htm http://cuip.uchicago.edu/~dlnarain/golden /activity8.htm O http://www.goldennumber.net/goldsect.htm http://www.goldennumber.net/goldsect.htm O http://www.geom.uiuc.edu/~demo5337/s9 7b/figures.htm http://www.geom.uiuc.edu/~demo5337/s9 7b/figures.htm O http://mathworld.wolfram.com/GoldenRati o.html http://mathworld.wolfram.com/GoldenRati o.html O http://library.thinkquest.org/C005449/ http://library.thinkquest.org/C005449/