Karya : Sofia Nida Khoerunnisa-152151042
Email : khoerunnisasofia@gmail.com
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T
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he Golden ratio is a special number
found by dividing a line into two parts so that the longer part divided by the
smaller part is also equal to the whole length divided by the longer part. It’s
often symbolized using phi. As with phi (the ratio of the circumference of a
circle to its diameter), the digits go on and on, theoretically into infinity.
This number has been discovered and rediscovered many times, which is why it
has so many names. Phi is the basis for the golden ratio, section or mean the
ratio, or proportion, determined by Phi (1.618…). Golden ratio, also known as
Fibonacci sequence or God number, is a simple series number starts from zero
and one and the next part will be a sum from two numbers before. 0, 1, 1, 2, 3,
5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765,
10946, and so on forever. Fibonacci sequence has been found by Leonardo Pisano
from Italia, around 1200. He’s a great mathematicians in the middle century.
Maybe, just some people knew that actually Fibonacci just accomplished the
ideas of mathematicians from India, Gopala Chandra. The problem that Gopala
faced is how to do distributed object so quickly by the pocket, but different
with the problem that Fibonacci faced. Fibonacci found a miracle series from
rabbit’s propagation problem. A couple rabbit female and male mated, then
placed it in an isolate stable. Afterwards, count how many couple productive
rabbit for the next. Apparently, the population increase with the one and only
ratio. The last result is 144 couple. Well, there is 144 on 12 series.
What makes interesting
from Fibonacci sequence is if we divide one of numbers with another number, so
the result is decimal value 0,618 (with rounding off). For the example :
2
: 3 = 0,667
3
: 5 = 0,600
5
: 8 = 0,625
8
: 13 = 0,615
13
: 21 = 0,619
21:
34 = 0,618
34 : 55 = 0,618
55
: 89 = 0,618
89
: 144 = 0,618
Then, if we return the
division, with the way like this :
13
: 8 = 1,625
21
: 13 = 1,62
144
: 89 = 1,62
Division from the next
number will produce the same decimal number and that’s called with golden
ratio. The golden ratio is the ratio
1:1,618… as you can say, it is irrational number (a number that can’t be
written as a simple fraction). In the other words, the decimal goes on forever.
Golden ratio also known as “God Number”, Why? Because, based on trust scientist
long time ago, Fibonacci rows is one of evidence that there is God, it can be
found throughout nature and the universe and it has been used extensively in
architecture, art, also applies in understanding the relationship of God to
creation. Curiously, the mathematical constant of 1,618… that is found throughout
creation is represented by the symbol Phi ϕ, which is the symbol 0 for nothing
split in two by the symbol 1 for unity and one (God). Even when we don’t see
it, but precisely we know it’s there. There’s so many fact that has been found
in the nature, but I’ll explain just one of them. That is about total flower petals.
3 petals : Lily flowers and iris flowers
5 petals : Kamboja flowers and so many
others
13 petals : Ragwort, Cineraria
21 petals : Aster
…etc
Then,
I did the result to some flowers for make sure that the flower has a Fibonacci
sequence. Not only did the results to the flower which had mentioned above, but
also did the results to other flower perhaps there will be a golden ratio on
the petals. Well, there it is :
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Flower
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Sheath Total
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Has Golden Ratio
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Rosa
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31
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No
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Callistephus
chinensis 1
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71
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No
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Callistephus
chinensis 2
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71
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No
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Callistephus
chinensis 3
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38
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Yes
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Callistephus
chinensis 4
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48
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Yes
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Callistephus
chinensis 5
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46
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Yes
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Callistephus
chinensis 6
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40
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Yes
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Callistephus
chinensis 7
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55
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No
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Callistephus
chinensis 8
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60
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Yes
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Callistephus
chinensis 9
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44
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Yes
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Callistephus
chinensis 10
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70
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Yes
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Asteraceae
1
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28
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Yes
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Asteraceae
2
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27
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Yes
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Asteraceae
3
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29
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No
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Asteraceae
4
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29
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No
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Every Plumeria
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5
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Yes
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Every flower is beautiful. Yes,
everyone agree that every flower is beautiful and the petals has a golden ratio
which add the beauty to the flowers and that’s an evidence there’s God, also
the evidence that golden ratio is exist in the universe. Based on my result,
not every flower has the golden ratio, especially aster flowers aren’t
consistent about the petals, but maybe because some petals had fallen in
somewhere, I guess.
Plumeria
But, there’s Plumeria which has the number of petals
in a flower consistently follows the Fibonacci sequence. Plumeria flowers are often most fragrant at night, that’s really
unique. The petals from Plumeria
flowers always five. Never less or greater, that always five. It’s really
unique. Plumeria make sure that it
has a golden ratio in that should be. Plumeria
has some type, like Plumeria Obtusa,
Plumeria Alba, Plumera Stenopetala, Plumeria Rubra, Plumeria Stenophylla,
Plumeria Pudica, Plumeria Tuberculata, Plumeria Caracasana, and others. Whatever the type is, the petals from Plumeria flower always five. It makes
sure that Plumeria flower has a
golden ratio.
So, the things that the scientist
had ever said about the golden ratio, that’s really right and true. God made
this world so beautiful that it could be. Based on the results that I have
done, Plumeria flower is the one
evidence about the golden ratio. It has five petals, never less or greater.
It’s a golden ratio.
Bibliography
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