Monday, June 8, 2009

More on the golden ratio

defined as:




where a=.8 and b=.5 in todays example of a sandwich I made myself.
therefore:
(.8 + .5)/.8 = 1.62 or .8 / .5 = 1.6


The golden ratio is the limit of the ratios of successive terms of the Fibonacci sequence (or any Fibonacci-like sequence):

Therefore, if a Fibonacci number is divided by its immediate predecessor in the sequence, the quotient approximates φ; e.g., 987/610 ≈ 1.6180327868852. These approximations are alternately lower and higher than φ, and converge on φ as the Fibonacci numbers increase.

Take that!
You can't argue with science;
Q.E.D.!

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