Thursday 21 March 2013

Phi-Ratio and Why It's Perfect For Creating Life



In life the phi ratio is recognizable in everything and anything. It's in Music, Photography, Design, Light, DNA, Plants, Animals, Humans up to how Solar Systems and Galaxies are formed. That's why it is also called The Golden Ratio, Divine Ratio, Golden Mean or Golden Section. It is used by men for hundreds of thousands years. The most famous constructions are the Pyramids of Giza, which is build with all the aspects of Phi. I'm coming back to this in a later post. Also you find it back in the Greek architectures, like the Parthenon and even in the Apple logo's.
Phi is connected to the Fibonacci Sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55......) , Pi = p(3.142857...) and the Sacred Geometry. Also it is intrinsically related to the number 5.
It's how The Great Spirit built the whole Universe. 

So what is phi?
Phi is derived from a Greek letter: uppercase Φ (1.618033988...), lowercase φ (0.618033988...), math symbol ϕ.
It is unique because of it's unusual mathematical proportions. 
Phi is measured by drawing a line A and you intersect it where B=1 and C=1.618
B+C=A and A/B=B/C

You can derive phi with these equations:  
 n2 = n + 1   and   1 / n = n – 1 
Here you find the solution with the square root of 5 + 1 which is divided by 2:
Phi = ( 5½ + 1 ) / 2 = 1.6180339…

Also a unique proportion is when you square Phi you get Phi + 1 like this:
Phi2 = Phi + 1   or   1.618 +1 = 1.618
And when you divide:
1 / Phi = Phi -1  or 1/1.618 = 1.618-1 

I also talked about the relation of Phi with the Fibonacci Sequence. Here you can compute the nth number in the Fibonacci series with this equation:
fn =  Phi n / 5½
As example: f 8   =   Phi 8 / 5½   = 21

You can create Golden Circles, Golden Squares by Squaring the Circle.
And you can create Golden Triangles where .
This is still 2D. From this you can create the Geometric equivalents in 3D, like the Dodecahedron and the Icosahedron and more, but later about these in another post.

Here you see all lifes creations embody the Phi Ratio.

Why is it such an ideal way to create life?



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