1. 1. Subject Teacher:- Mr. Ch. Narendra Kumar
2. 2. Before seeing this PPT, first watch the video for better understanding about The Golden Ratio.
3. 3. Well, before we answer that question let's examine an interesting sequence (or list) of numbers. Actually the series starts with 0, 1 but to make it easier well just start with 1,1 What is the Golden Ratio?
4. 4. To get the next number we add the previous two numbers together. So now our sequence becomes 1, 1, 2
5. 5. Here is what our sequence should look like if we continue on in this fashion for a while: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610
6. 6. Leonardo Fibonacci Really Famous & Really Smart
7. 7. Now, I know what you might be thinking: "What does this have to do with the Golden Ratio ?????????
8. 8. Let's look at some of the ratios of these numbers: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610
9. 9. Next number divided by previous number gives us Golden ratio When we proceed next then this number converges to 1.68 2/1 = 2.0 3/2 = 1.5 5/3 = 1.67 8/5 = 1.6 13/8 = 1.625 21/13 = 1.615 34/21 = 1.619 55/34 = 1.618 89/55 = 1.618
10. 10. The Golden Ratio is what we call an irrational number: it has an infinite number of decimal places and it never repeats itself! Generally, we round the Golden Ratio to 1.618.
11. 11. Lets Check
12. 12. Spirals of a pinecone
13. 13. Where spirals from the center have 5 and 8 arms, respectively (or of 8 and 13, depending on the size)- again, two Fibonacci numbers (Gives golden ratio)
14. 14. Golden Ratio in Sun Flower
15. 15. If you look at a sunflower, you will see a beautiful pattern of two spirals, one running clockwise and the other counterclockwise.
16. 16. If we count the spirals we will find that there are 21 or 34 running clockwise and 34 or 55 running counterclockwise, respectively-all Fibonacci numbers
17. 17. Some plants express the Fibonacci sequence in their growth points, the places where tree branches form or split. One trunk grows until it produces a branch, resulting in two growth points & then three , five so on
18. 18. These Fibonacci numbers gives Golden Ratio
19. 19. DNA molecules follow this sequence, measuring 34 angstroms long and 21 angstroms wide for each full cycle of the double helix
20. 20. The Ahmes papyrus of Egypt gives an account of the building of the Great Pyramid of Giaz in 4700 B.C.
21. 21. It is simply constructed on Golden Ratio
22. 22. It was used it in the design of Notre Dame in Paris, which was built in the 1163 and 1250.
23. 23. In India, it was used in the construction of the Taj Mahal, which was completed in 1648.
24. 24. In the United Nations building, the width of the building compared with the height of every ten floors is a Golden Ratio
25. 25. Does Beauty exist in Golden Ratio
26. 26. You can check Yourself
27. 27. You need some calculations
28. 28. The Perfect Face - Golden Ratio Beauty Calculator
29. 29. Now tell Which smile is more appealing?
30. 30. Because its length to width ratio gives Golden number
31. 31. Look at the following rectangles Now ask yourself, which of them seems to be the most naturally attractive rectangle?
32. 32. If you said the first one, then you are probably the type of person who likes everything to be symmetrical. Most people tend to think that the third rectangle is the most appealing
33. 33. Have you figured out why the third rectangle is the most appealing? That's right - because the ratio of its length to its width is the Golden Ratio! For centuries, designers of art and architecture have recognized the significance of the Golden Ratio in their work.
34. 34. Now let's go back and try to discover the Golden Ratio in art.We will concentrate on the works of Leonardo daVinci, as he was not only a great artist but also a genius when it came to mathematics and invention.
35. 35. Even in Mona Lisa Painting Golden ratio exist
36. 36. Take A Good Look At Yourself In The Mirror
37. 37. Human body is made on Golden Ratio
38. 38. You will notice that most of your body parts follow the numbers 1,2,3&5 You have one nose, two eyes, three segments to each limb and five fingers on each hand
39. 39. The proportion of upper arm to hand + forearm is in the same ratio of 1: 1.618
40. 40. You can also apply the Golden Ratio to other elements width in relation to its height or vice-versa. This produces aesthetically pleasing elements with the Golden Ratio proportions.
41. 41. This Car is looking nice.. Ofcource its Shape is made on the concept Of Golden Ratio
42. 42. ANY QUESTIONS?
43. 43. Thank you one and all.... BY:- Nivesh Krishna Class:- X-D