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φ = 1,61803399 – perfection by simplicity and self-similarity

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golden number phi φ = 1,61803399

simplicity and self-similarity
golden number φ = 1,61803399 – the phenomenon of the Fibonacci Code
explains his perfection by simplicity and self-similarity.

Fibonacci was Italian and had much to do with numbers.
He found a regularity in a certain sequence. This series of numbers called Fibonacci code.
There is no zero. It is a series of numbers from the nature.
In nature, there is no zero. Something is always there, and if it is just air.

The Fibonacci code starts at 1. When one adds to the previous number, then you get the next value. We know that there is no zero.
We take the number 1, which is also 1. Nature has no value under 1.

1+1=2 , so starts the Fibonacci Code.
1+2=3, 2+3=5, 3+5=8, 5+8=13, 8+13=21, 13+21=34, 21+34=55, 34+55=89, 55+89=144, 89+144=233, 144+233=377, 233+377=610, 377+610=987, 610+987=1597, … so you can make more and more.

And now comes the clever part. A little numbers game creates something amazing.
1597:987=1,6180344
987:610=1,6180327
610:377=1,6180371
377:233=1,6180257
233:144=1,6180555
144:89  =1,6179775 and so on.

Getting on for an hour the additions, and dividing this Addend as just shown, then an average is calculated.
And Phi is the Golden number φ = 1,61803399


It now shares a number (the first few numbers excluded) the next following,
always the same ratio results in: 0,618
34/55     = 0,618
55/89     = 0,618
144/233 = 0,618

Dividing a number (the first few numbers excluded) due to the next,
is always the ratio of 0,382
21/55 = 0,382
34/89 = 0,382

Dividing a number (the first few numbers excluded) by the third closest,
is always the ratio of 0,236
34/144 = 0,236
55/233 = 0,236

This relationship is called the "golden section".
It's a recurring phenomenon in almost all the sciences, mathematics, geometry, biology of astronomy to the architecture and art.

Goldener Zirkel ® - das Original von Franz Joachim Zimmermann - Kaarst - Germany

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