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The Golden SpiralIf you continue constructing golden rectangles inside other golden rectangles you end up with a spiral:
You can follow the squares easily enough, the biggest one is on the left, the second biggest one is in the bottom right, the third biggest one in the top left. Inside every square you draw a quarter circle, thus constructing a continuous curve. In the above image I've stopped after drawing 5 squares, but of course you could go on for ever. If the spiral, drawn without the scaffolding, ...
... looks familiar, it is because it often occurs in natural forms, like shells and packed seeds in flowers. The inner place where the spiral "ends" (it never ends of course) is sometimes called "The Eye of God". Back to Part 1: The Golden Section |
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