Thursday, June 13, 2013

Refinding Phi, Part 1.

This is a continuation of a similar recent post (5/4/2013)..
The definition of Phi that I know is that
 the Golden Mean or Golden Ratio
is found by calculating
one Fibonacci number divided by the previous Fibonacci number.
That is,  Phi  =  F(n) / F(n-1).
 Let us see what this looks like:-



So far,  they are all a little bit different.  
What is evident is that one Phi = 1 + 1 / another Phi ,  and it is exact.





Moreover,  all can be described in a Graph:-





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