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