Golden ratio
36
THE GOLDEN RATIO… AN ENGINEER’S PERSPECTIVE…
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Transcript of Golden ratio
THE GOLDEN
RATIO…AN ENGINEER’S PERSPECTIVE…
WHAT IS IT?
2
j =1+ 5
2
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
3
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
4
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
5
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
6
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
7
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181,
6765…
8
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
9
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
10
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
11
FIBONACCI…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
12
GOLDEN RATIO…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
13
1
GOLDEN RATIO…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
14
2
GOLDEN RATIO…
1, 1, 2, 3, 5, 8, 13, 21, 34,
55, 89, 144, 233, 377, 610,
987, 1597, 2584, 4181, 67
65…
15
3
2= 1.5
GOLDEN RATIO…
16
1,2,3
2,5
3,8
5,13
8,21
13,34
21,55
34,89
55,144
89,233
144,377
233,610
377,987
610,1597
987,2584
1597,4181
2584,6765
4181,10946
6765
j =1+ 5
2
j =1.61803...
WHY IS IT USEFUL?
17
PHOTOGRAPHY…
18
RULE OF THIRDS?
19
RULE OF THIRDS?
20
RULE OF THIRDS?
21
RULE OF THIRDS?
22
RULE OF THIRDS?
23
RULE OF THIRDS?
24
RULE OF THIRDS?
25
RULE OF THIRDS?
26
NEAR ENOUGH?..
27
SO WHAT!
28
GREEKS…
29
Co
urt
esy
of
Flic
kr
-K
yri
Sa
ran
tako
s
Lic
en
sed
un
de
r
PROPORTIONS…
30
1.61803
1.0
Co
urt
esy
of
Flic
kr
-K
yri
Sa
ran
tako
s
Lic
en
sed
un
de
r
PLATONIC SOLIDS…
31
Cube
Tetrahedron
Octahedron
Dodecahedron
Icosahedron
BUCKY FULLER…
32
Courtesy of Flickr - caribb
Licensed under
NATURE…
33
Courtesy of Flickr - eEditor
Licensed under
NATURE…
34
BIOMIMETICS…
35
Courtesy of Flickr - kibuyu
Licensed under
THANK YOU…
36
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