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Golden Ratio Sequence

Last modified by
on
Jul 24, 2020, 6:28:07 PM
Created by
on
Jun 24, 2014, 1:07:44 AM
sequence=a1=bϕ,a2=a1ϕ,a3=a2ϕ,...
"Smaller Side of Golden Rectangle"
"Number of sequence values"
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f2d00b08-fb3b-11e3-b7aa-bc764e2038f2

The basis for this equation has been publicized since the 1500s and is related directly to the famed Fibonacci sequence .  This equation computes the longer side of a rectangle if you input the shorter side and continues to use the result longer side as the input shorter side, generating a sequence of successively larger values.  The resultant rectangle defined by any two of these adjacent sequence values is a "golden rectangle," adhering to the rule that (a+b)/a = a/b = phi, where phi is the golden ratio.

The out put is n + 1 of these values in golden ratio, starting with whatever value you wish to input.

/attachments/f2d00b08-fb3b-11e3-b7aa-bc764e2038f2/GoldenRatioSequence-illustration.png


This equation, Golden Ratio Sequence, references 1 page
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