Thursday, September 07, 2006

I've been working all summer on Fibonacci numbers as related to growth of form in nature, to log spirals, to the Golden Angle and to the Golden Section. These are my conclusions: the root of the matter is the relationship of .618 to these other forms. What is .618 in itself? .618 is the square root of .382 and .618 + .382 add up to 1 - these two together make it a number which can form the relationship in angles, lengths, and numbers : little is to big as big is to the whole. This verbal formula doesn't sound mathematical but it defines the relationship which is common to Fibonacci numbers, the Golden section , the Golden angle, log spirals and natural growth of form. Using this common relationship natural form can be analysed mathematically

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