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# Miracles of numbers

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• 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?
• ### Miracles of numbers

1. 1. 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
2. 2. FIBONACCI’S SEQUENCEThis sequence of numbers was first discoveredin the 12th century, by the Italianmathematician, Leonardo Fibonacci, andhence is known as Fibonaccis Sequence.
3. 3. 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
4. 4. 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 1.618033963166710010,946 1.618033998521800017,711 1.618033985017360028,657 1.618033990175600046,368 1.618033988205320075,025 1.6180339889579000
5. 5. • This ratio is called the Golden Ratio or the number is called Phi – Sacred Cut, Divine Proportion
6. 6. Now why is this ratio called he Divine Proportion?
7. 7. Because a lot of things in nature occur in this Ratio or in the Fibonacci Sequence..
8. 8. LETS TAKE A LOOK AT THEDIMENSIONS OF THE DNA
9. 9. DNA molecule—contains the goldenratio. One revolutionof the double helixmeasures 34angstroms while thewidth is 21 angstroms.The ratio 34/21reflects phi 34 dividedby 21 equals 1.619… aclose approximationof phi’s 1.618.
10. 10. Fibonacci numbers can be foundin many places, for example thenumber of petals on a flower isoften a Fibonacci number. 1 2 3 5 13 8 13 21
11. 11. 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?
12. 12. Branching Plants• Leaves are also found in groups of Fibonacci numbers.• Branching plants always branch off into groups of Fibonacci numbers.
13. 13. Golden Ration in the Human Body Video
14. 14. The Golden Rectangle
15. 15. The perfect rectangle? :
16. 16. So, why do shapes that exhibit the GoldenRatio seem more appealing to the humaneye? No one really knows for sure. But we do have evidence that the Golden Ratio seems to be Natures perfect number.
17. 17. The front two incisor teeth form agolden rectangle, with a phi ratio in theheight to the width.The ratio of the width of the first toothto the second tooth from the center isalso phi.The ratio of the width of the smile to thethird tooth from the center is phi aswell.
18. 18. GOLDEN RATIO IN ART & ARCHITECTURE
19. 19. 23
20. 20. The Golden Rectangle in Art & Architecture
21. 21. Secret to aesthetics, Inspired by Nature
22. 22. Video• Gauge
23. 23. The Golden Spiral
24. 24. EXERCISE
25. 25. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
26. 26. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
27. 27. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
28. 28. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
29. 29. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
30. 30. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
31. 31. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
32. 32. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
33. 33. 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
34. 34. 39
35. 35. YOU HAVE JUST MADE AN ATTEMPTTO FORGE THE SIGNATURE OF GOD
36. 36. THIS IS CALLED THE GOLDEN SPIRALAND IS SEEN IN MANY ASPECTS OF NATURE
37. 37. 42
38. 38. Chameleons tail
39. 39. The chambered nautilus
40. 40. Sunflower petals follow the Fibonacci Sequence and Sunflower Seeds follow the Golden Spiral0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, . . .
41. 41. Low pressure system over Iceland filmed from a satellite
42. 42. A Sea Shell
43. 43. A cacti with multiple Fibonacci-like Spirals.
44. 44. Spiral galaxies
45. 45. The natural growth of this plant is similar to a Fibonnaci Spiral
46. 46. Cauliflower Pine cone
47. 47. Video
48. 48. Tying it back to the beginning
49. 49. Thank You!