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Mathematics of Divine Proportion, Golden Number, PHI
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Mathematics of Divine Proportion, Golden Number, PHI
«
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April 13, 2008, 02:37:15 PM »
The Golden Number gives the shape of the entire Universe. Think of it as of those spiral shapes of the galaxies. The Divine Proportion is also found in the human body. The Great Masters, such as Leonardo da Vinci, always used the Divine Proportion in their masterpieces. One can find the Golden Number in Mona Lisa's face, as the ratio between the height and the width of her smiling face. Or vice-versa, as the ratio between the width and the height of her melancholic face. Some think of the Golden Number as the Fibonacci series. In fact, the ratio of any two consecutive numbers in the Fibonacci series tends to approximate the Divine Proportion. The ratio will be equal to the Golden Number in a series with an infinite number of elements.
Let's take a segment and divide it into two parts, a and b. There are two conditions that lead to the Golden proportion:
1) b greater than a (b > a);
2) a/b = b/(a+b).
(The Ancients, by the way, expressed the Divine Proportion in mystical chants comprehensible only to highly initiated cult members. “I am the mean and the extreme!”, they were chanting.)
If we make a + b = 1, the relation a/b = b/(a+b) leads to the well-known equation:
x² + x - 1 = 0.
The two roots of the equation are known as “The Golden Number” or Phi:
? = {Sqr(5) ± 1} / 2 = 1.618033989... or Phi = 0.618033989...
Normally, if big / small then ? = 1.618
if small / big then ? = 0.618
(Side bar: In the English speaking nations, some write it as Go(l)d(en), indicating the Golden Number as the manifestation of God.)
The most mind-boggling expression of the Golden Number is an infinite series of 1, in the form: (? = 1 plus (1 over (1 + (1 over) (1 + 1 over))))… And so one to the infinite. It looks more like a stairway all the way down to minus infinite. The initiated say it is the stairway Almighty Number takes to descend to the earth.
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Re: Mathematics of Divine Proportion, Golden Number, PHI
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April 13, 2008, 02:40:38 PM »
I did today some tests with MMM and with my variables and tryied to see where in my MMM can be used this golden number and if it exist and if this is applicable to real game.
In next minutes I will post some info related to this.
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Re: Mathematics of Divine Proportion, Golden Number, PHI
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Reply #2 on:
April 13, 2008, 02:42:32 PM »
Ok, great.
So we have Phi in the sky...
What has this to do with MMM?
Last year you were considering implementing the Fibonacci sequence.
After you read a post from one of the members from NZ
But it looks like it is still under consideration.
We do not have an option.
Or are you about to release a version that can use Fibonacci?
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Re: Mathematics of Divine Proportion, Golden Number, PHI
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April 13, 2008, 02:47:43 PM »
Thomas you should know that Martignale is a a part of Fibonacci.
I will post here some info soon related to this so you will understand.
Related to Fibonacci sure it will be.
The idea was related to my G1-G12 variable that I wanted to post.
And here I told that PHI variables was not found into MMM till now.
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