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Miracles of numbers
- 4. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . . Can you guess the next number in this sequence? 89 + 144 = 233
- 5. FIBONACCI’S SEQUENCE This sequence of numbers was first discovered in the 12th century, by the Italian mathematician, Leonardo Fibonacci, and hence is known as Fibonacci's Sequence.
- 6. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 7. 1 1 1.0000000000000000 2 2.0000000000000000 3 1.5000000000000000 5 1.6666666666666700 8 1.6000000000000000 13 1.6250000000000000 21 1.6153846153846200 34 1.6190476190476200 55 1.6176470588235300 89 1.6181818181818200 144 1.6179775280898900 233 1.6180555555555600 377 1.6180257510729600 610 1.6180371352785100 987 1.6180327868852500 1,597 1.6180344478216800 2,584 1.6180338134001300 4,181 1.6180340557275500 6,765 1.6180339631667100 10,946 1.6180339985218000 17,711 1.6180339850173600 28,657 1.6180339901756000 46,368 1.6180339882053200 75,025 1.6180339889579000
- 8. • This ratio is called the Golden Ratio or the number is called Phi – Sacred Cut, Divine Proportion
- 9. Now why is this ratio called he Divine Proportion?
- 10. Because a lot of things in nature occur in this Ratio or in the Fibonacci Sequence..
- 11. LETS TAKE A LOOK AT THE DIMENSIONS OF THE DNA
- 12. DNA molecule— contains the golden ratio. One revolution of the double helix measures 34 angstroms while the width is 21 angstroms. The ratio 34/21 reflects phi 34 divided by 21 equals 1.619… a close approximation of phi’s 1.618.
- 13. Fibonacci numbers can be found in many places, for example the number of petals on a flower is often a Fibonacci number. 1 2 3 5 13 8 13 21
- 14. People wonder… Why is that the number of petals in a flower is often one of the following numbers: 3,5,8,13,21,34,55?
- 15. Branching Plants • Leaves are also found in groups of Fibonacci numbers. • Branching plants always branch off into groups of Fibonacci numbers.
- 16. Golden Ration in the Human Body Video
- 18. The perfect rectangle? :
- 19. So, why do shapes that exhibit the Golden Ratio seem more appealing to the human eye? No one really knows for sure. But we do have evidence that the Golden Ratio seems to be Nature's perfect number.
- 21. The front two incisor teeth form a golden rectangle, with a phi ratio in the height to the width. The ratio of the width of the first tooth to the second tooth from the center is also phi. The ratio of the width of the smile to the third tooth from the center is phi as well.
- 22. GOLDEN RATIO IN ART & ARCHITECTURE
- 23. 23
- 24. The Golden Rectangle in Art & Architecture
- 26. Secret to aesthetics, Inspired by Nature
- 27. Video • Gauge
- 29. EXERCISE
- 30. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 31. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 32. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 33. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 34. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 35. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 36. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 37. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 38. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 39. 39
- 40. YOU HAVE JUST MADE AN ATTEMPT TO FORGE THE SIGNATURE OF GOD
- 41. THIS IS CALLED THE GOLDEN SPIRAL AND IS SEEN IN MANY ASPECTS OF NATURE
- 42. 42
- 43. Chameleon's tail
- 46. Sunflower petals follow the Fibonacci Sequence and Sunflower Seeds follow the Golden Spiral 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
- 48. Low pressure system over Iceland filmed from a satellite
- 49. A Sea Shell
- 50. A cacti with multiple Fibonacci-like Spirals.
- 51. Spiral galaxies
- 52. The natural growth of this plant is similar to a Fibonnaci Spiral
- 53. Cauliflower Pine cone
- 54. Video
- 55. Tying it back to the beginning
- 56. Thank You!
Editor's Notes
- Asalamalaikum everyone. The topic of my presentation today is, Math, the Language of God, Miracles in Numbers. Now before I actually get on to the presentation, I would just like to mention something from the point of view of teaching. This topic is not in our Mathematics CIE syllabus. As a teacher, in class while teaching we face a lot of challenges and one of the challenges that I have faced is that every section I get, there is always a certain number of students who just hate the subject. And when I say hate, I really mean it, they hate it genuinely and they hate it with disgust and perhaps for even valid reasons. Because Math has been really cruel to them. Math has betrayed and insulted them over all the primary and lower secondary grades they have perhaps tried really hard and yet they have been getting Cs and DsThey might hate other subjects but I feel they will never hate it as much as Math.Now with these students who have been so disappointed with the subject and are lost and whatever you write on the board is gibberish to them, the problem is they don’t want to give the subject a second or third chance. And then there are some students who are even good at the subject but they object to the practicality of the subject about certain topicsSometimes it is important to scoop them out of the world of equations and mathematical notations and terminology and take them to a scenario which makes more sense to themSo now I am taking you away from these equations
- Asalamalaikum everyone. The topic of my presentation today is, Math, the Language of God, Miracles in Numbers. Now before I actually get on to the presentation, I would just like to mention something from the point of view of teaching. This topic is not in our Mathematics CIE syllabus. As a teacher, in class while teaching we face a lot of challenges and one of the challenges that I have faced is that every section I get, there is always a certain number of students who just hate the subject. And when I say hate, I really mean it, they hate it genuinely and they hate it with disgust and perhaps for even valid reasons. Because Math has been really cruel to them. Math has betrayed and insulted them over all the primary and lower secondary grades they have perhaps tried really hard and yet they have been getting Cs and DsThey might hate other subjects but I feel they will never hate it as much as Math.Now with these students who have been so disappointed with the subject and are lost and whatever you write on the board is gibberish to them, the problem is they don’t want to give the subject a second or third chance. And then there are some students who are even good at the subject but they object to the practicality of the subject about certain topicsSometimes it is important to scoop them out of the world of equations and mathematical notations and terminology and give them a break. Introduce them to something that will make sense to them, that will make them appreciate the subjectTake you to something which requires no background knowledge. You start fresh. You start from a clean slate.So now I am taking you away from these equations
- You have just tried to forge god’s signature
- Now why is it called the Divine Proportion because a lot of things in nature occur in this proportion or in this sequence
- http://www.world-mysteries.com/sci_17.htm
- If you calibrate a plant at equal distances and you count the branches at each calibration, the branches will follow the Fibonacci Sequence
- Common ratio in nature that made things appealing to the eye
- The Parthenon was built on the Acropolis in Athens
- Low pressure system over Iceland filmed from a satellite.
- Furthermore, when one observes the heads of sunflowers, one notices two series of curves, one winding in one sense and one in another; the number of spirals not being the same in each sense. Why is the number of spirals in general either 21 and 34, either 34 and 55, either 55 and 89, or 89 and 144? The same for pinecones : why do they have either 8 spirals from one side and 13 from the other, or either 5 spirals from one side and 8 from the other? Finally, why is the number of diagonals of a pineapple also 8 in one direction and 13 in the other?