The Fibonacci Golden Ratio from bbl and MMCL

Fibonacci

1. Looking Deeper into the Golden Ratio Mathematics in the Modern World (MATH035)

2. Learning Objectives: Identify patterns in nature and regularities in the world (K) (CO1) Articulate the importance of mathematics in one’s life (V) (CO6) Argue about the nature of mathematics, what it is, how it is expressed, represented, and used (K) (CO2) Express appreciation for mathematics as a human endeavor (V) (CO7)

3. Looking Back where the Greek letter phi ( ) represents the golden ratio .  

4. The Beauty Equation During the European Renaissance, renowned artists and architects used an equation known as the "golden ratio" to map out their masterpieces. Thousands of years later, scientists adopted this mathematical formula to help explain why some people are considered beautiful…and others are not.

5. Dr. Kendra Schmid , an assistant professor of biostatistics, uses the golden ratio and 29 other measurements to study  facial sex appeal  . These measurements are calculated to determine a person's beauty on a scale of 1 to 10. What does she measure? Source:  https://www.oprah.com/oprahshow/measuring-facial-perfection-the-golden-ratio#ixzz5MVckujmi The Beauty Equation

6. Source:  https://www.oprah.com/oprahshow/measuring-facial-perfection-the-golden-ratio#ixzz5MVckujmi The Beauty Equation A.   First, Dr. Schmid measures the length and width of the face. Then, she divides the length by the width. The ideal result—as defined by the golden ratio—is roughly 1.6, which means a beautiful person's face is about 1 1/2 times longer than it is wide.

7. The Beauty Equation B. Next, Dr. Schmid measures three segments of the face—from the forehead hairline to a spot between the eyes, from between the eyes to the bottom of the nose, and from the bottom of the nose to the bottom of the chin. If the numbers are equal, a person is considered more beautiful. 

8. Source:  https://www.oprah.com/oprahshow/measuring-facial-perfection-the-golden-ratio#ixzz5MVckujmi The Beauty Equation C.  Finally, statisticians measure other facial features to determine symmetry and proportion. On a perfect face, Dr. Schmid says the length of an ear is equal to the length the nose, and the width of an eye is equal to the distance between the eyes. Note: Most people score between 4 and 6, and Dr. Schmid says no one has ever been a perfect 10.

9. …at the end of the day

10. Source:  http://tylerjwatkins.com/greek-god-in-3-steps/ Greek God Body The largest application of the golden ratio in the male body is fully within your control. The ideal ratio of your shoulders to waist circumference is 1:1.618. The closer you can get to this ratio the better looking your body will be. This is the main ratio around which the Greek god physique is based.

11. …at the end of the day