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Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
Golden Ratio
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Golden Ratio

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Golden Ratio …

Golden Ratio
How this ratio is used in our daily work....??
It is especially used for aesthetics purposes for beauty of things.

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  • 1. Umar Aziz Khan Shakil Iqbal
  • 2.  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 we’ll just start with 1,1 What is the Golden Ratio?
  • 3. To get the next number we add the previous two numbers together. So now our sequence becomes 1, 1, 2
  • 4. 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…
  • 5. Leonardo Fibonacci Really Famous & Really Smart
  • 6. Now, I know what you might be thinking: "What does this have to do with the Golden Ratio ?????????
  • 7. 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…
  • 8. 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
  • 9. 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.
  • 10.  “Allah has appointed a measure for all things” (Quran, 65:3) “Everything has its measure with Him” (Quran, 13:8) Golden Ratio in ISLAM
  • 11. Golden Ratio in Makkah
  • 12. Is itTrue?????
  • 13. As latitudes are expressed in degrees and distance from the Equator, we subtract 90 degrees and convert this to 21° 46.02 ̋ (Latitude of Makkah)
  • 14. Lets Check
  • 15. Spirals of a pinecone
  • 16. 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)
  • 17. Golden Ratio in Sun Flower
  • 18. If you look at a sunflower, you will see a beautiful pattern of two spirals, one running clockwise and the other counterclockwise.
  • 19. 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
  • 20. 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…
  • 21. These Fibonacci numbers gives “Golden Ratio”
  • 22. DNA molecules follow this sequence, measuring 34 angstroms long and 21 angstroms wide for each full cycle of the double helix
  • 23. The Ahmes papyrus of Egypt gives an account of the building of the Great Pyramid of Giaz in 4700 B.C.
  • 24. It is simply constructed on Golden Ratio
  • 25. It was used it in the design of Notre Dame in Paris, which was built in the 1163 and 1250.
  • 26. In India, it was used in the construction of the Taj Mahal, which was completed in 1648.
  • 27. In the United Nations building, the width of the building compared with the height of every ten floors is a “Golden Ratio”
  • 28. Does Beauty exist in Golden Ratio
  • 29. You can check Yourself
  • 30. You need some calculations
  • 31. The Perfect Face - Golden Ratio Beauty Calculator
  • 32. Is This Girl is Beautiful?
  • 33. Yes She is………. Calculations were made on her face Golden ratio exist
  • 34. Now tell Which smile is more appealing?
  • 35. Because its length to width ratio gives “Golden number”
  • 36. Look at the following rectangles Now ask yourself, which of them seems to be the most naturally attractive rectangle?
  • 37. 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
  • 38. 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.
  • 39. Now let's go back and try to discover the Golden Ratio in art. We will concentrate on the works of Leonardo da Vinci, as he was not only a great artist but also a genius when it came to mathematics and invention.
  • 40. Even in Mona Lisa Painting “Golden ratio exist”
  • 41. Take A Good Look At Yourself In The Mirror
  • 42. Human body is made on “Golden Ratio”
  • 43. 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
  • 44. The proportion of upper arm to hand + forearm is in the same ratio of 1: 1.618
  • 45. You can also apply the Golden Ratio to other element’s width in relation to its height or vice-versa. This produces aesthetically pleasing elements with the Golden Ratio proportions.
  • 46. This Car is looking nice………….. Ofcource its Shape is made on the concept Of Golden Ratio
  • 47. Conclusion
  • 48. THANKS
  • 49. ANY QUESTION?

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