Subject Teacher:- Mr. Ch. Narendra Kumar
Before seeing this
PPT, first watch the
video for better
understanding
about The Golden
Ratio.

Well, before we answer that
question let's examine an
interesting sequence (or list) of
numbers.
Actually the series s...
To get the next number we
add the previous two
numbers together.
So now our sequence
becomes 1, 1, 2
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...
Leonardo Fibonacci
Really Famous
&
Really Smart
Now, I know what you might
be thinking:
"What does this have to do
with the
Golden Ratio
?????????
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…
Next number
divided by
previous
number gives us
Golden ratio
When we proceed
next then this
number converges
to 1.68
2/1 =...
The Golden Ratio is what we
call an irrational number: it has
an infinite number of decimal
places and it never repeats it...
Lets Check
Spirals of a pinecone
Where spirals from the center have 5
and 8 arms, respectively (or of 8 and
13, depending on the size)- again, two
Fibonacc...
Golden Ratio in Sun Flower
If you look at a sunflower, you will
see a beautiful pattern of two
spirals, one running clockwise and
the other countercl...
If we count the
spirals we will find
that there are 21 or
34 running
clockwise and 34
or 55 running
counterclockwise,
resp...
Some plants express the Fibonacci
sequence in their growth points,
the places where tree branches
form or split.
One trunk...
These Fibonacci
numbers gives
“Golden Ratio”
DNA molecules follow this
sequence, measuring 34
angstroms long and 21 angstroms
wide for each full cycle of the
double he...
The Ahmes papyrus of Egypt
gives an account of the
building of the Great
Pyramid of Giaz in 4700 B.C.
It is simply constructed on
Golden Ratio
It was used it in the design of Notre
Dame in Paris, which was built in the
1163 and 1250.
In India, it was used in the construction
of the Taj Mahal, which was completed in
1648.
In the United Nations building, the
width of the building compared
with the height of every ten floors
is a “Golden Ratio”
Does Beauty exist in Golden
Ratio
You can check Yourself
You need some calculations
The Perfect Face -
Golden Ratio Beauty
Calculator
Now tell
Which smile is more
appealing?
Because its length to width ratio
gives
“Golden number”
Look at the following
rectangles
Now ask yourself, which of them seems
to be the most naturally attractive
rectangle?
If you said the first one, then you
are probably the type of person
who likes everything to be
symmetrical.
Most people te...
Have you figured out why the third
rectangle is the most appealing?
That's right - because the ratio of its
length to its ...
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 ...
Even in Mona Lisa Painting
“Golden ratio exist”
Take A Good Look At
Yourself In The Mirror
Human body is made on
“Golden Ratio”
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 eac...
The proportion of upper arm to hand +
forearm is in the same ratio of 1: 1.618
You can also apply the Golden Ratio to
other element’s width in relation to its
height or vice-versa.
This produces aesthe...
This Car is looking nice…………..
Ofcource its Shape is made on the concept Of
Golden Ratio
ANY QUESTIONS?
Thank you one
and all....
BY:- Nivesh Krishna
Class:- X-D
Golden ratio by  nivesh krishna
Golden ratio by  nivesh krishna
Golden ratio by  nivesh krishna
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Golden ratio by nivesh krishna

  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 we’ll 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 element’s 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

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