Monday, November 13, 2006

Exploring Phi-by-Phi Squares with Excel Trigonometry

((phi^3)^2) - ((phi^4) + (phi^5)) = 0 is an exmple of how phi^n makes the Fibonacci Sequence - phi^n=phi^n-2+phi^n-1.

Excel is used to show how multiplied phi-by-phi squares are analysed. The phi^2-by-phi^2 square has an area of phi^4.
Phi^4 is equal to: 1 + (4 * (1 / phi)) + (6 * (1 / (phi^2))) + (4 * (1 / (phi^3))) + (1 / (phi^4))). They can be broken down to smaller squares:

phi^3-by-phi^3 "Golden Square", 4*1/phi^2 squares, and 4*1/phi-by-(phi^2-1/2*phi) rectangles


Excel Trigonometry





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