1. The Golden Ratio and Facial Attractiveness Muliangzi Qu Presented by:

2. The golden ratio Greek letter phi represents the golden ratio. Its value is: The golden ratio is often called the golden section or golden mean. Other names include extreme and mean ratio, medial section, divine proportion, divine section, golden proportion, golden cut and golden number.

3. calculation

4. In mathematics and the arts, two quantities are in the golden ratio. If the ratio of the sum of the quantities to the larger quantity is equal to the ratio of the larger quantity to the smaller one, the geometric relationship is said to be equivalent as the golden ratio. The figure below expressed the relationship algebraically: First, we need to know:

5. Applications and observations

6. Architecture Many of the proportions of the Parthenon are alleged to exhibit the golden ratio.

7. Painting The drawing of a man's body in a pentagram suggests relationships to the golden ratio.

8. Book design Many books produced between 1550 and 1770 show these proportions 2:3, 1:3, exactly, to within half a millimeter

9. Industrial design Some sources claim that the golden ratio is commonly used in everyday design, for example in the shapes of postcards, playing cards, posters, wide-screen televisions, photographs, and light switch plates. [ [

10. Finance Nature The golden ratio and related numbers are used in the financial markets. It is used in trading algorithms, applications, and strategies. Golden ratio applied to photography with Golden spiral

11. Facial Attractiveness

12. 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. Many measurements are used to study facial sex appeal, and one of the measurements is based on the idea of golden ratio. These measurements are calculated to determine a person's beauty on a scale of 1 to 10.

13. First, measures the length and width of the face. Then, divide the length by the width. The ideal resultas defined by the golden ratiois roughly 1.6, which means a beautiful person's face is about 1 1/2 times longer than it is wide.

14. Next, measure three segments of the facefrom 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.

15. Finally, statisticians measure other facial features to determine symmetry and proportion. On a perfect face, 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.

16. Comparison Diagram

17. Most people score between 4 and 6, and no one has ever been a perfect 10. Whose face is the most "perfect," according to the measurements? No big surprise here! Brad Pitt! 9.3

18. Thank you.