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The Golden Section

The Golden Rectangle

The Golden Rectangle is a rectangle whos two dimensions are related by the Golden Ratio. Here are some Golden Rectangles:

A strange thing about the golden rectangle is that if you draw a square which just fits in one end of it, the remaining area of the golden rectangle is, itself, a golden rectangle!

If then you draw another square inside the smaller ("tall") golden rectangle you of course end up with a third (even smaller) golden rectange, but this is leading on to the Finbonacci spiral. But more of that later.

There have been many claims to the extent to which nature and art use this ratio, most of them summarised in The Power of Limits by Gyorgy Doczi:

.:

I must admit that after the first two chapters I skipped the rest of the text, and only glanced at the images. The claims seemed to me to be arbitrary, the dividing points in objects selected to fit the Golden Ratio/Rectangle idea, rather than the reality fitting the idea. Here are two of the more plausible examples from the book, both Greek temples:


The Parthenon (One Golden Rectangle)


Athena Temple, Priene (Two Tall Golden Rectangles)

This is the end of Part 2.

Back to Part 1: The Golden Section

Forward to Part 3: The Fibonacci Spiral and the Eye of God.

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