Fibonacci Rectangles

Details Fibonacci Rectangles Fibonacci Rectangles

2004-05-04

arxiv.org/abs/math/0405048v1

Mathematics

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7 pages, 3 figures, LaTeX document

Scientific paper

Is there any other proportion for a rectangle, other than the Golden
Proportion, that will allow the process of cutting off successive squares to
produce an infinite paving of the original rectangle by squares of different
sizes? The answer is: No. The only proportion that allows this pattern is the
Golden Ratio. Two proofs are given.

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