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Why golden rectangles survive every cut

HERE’S THE INTERESTING PART

Cut a perfect square off the end of a golden rectangle, and the remaining chunk is just a smaller, perfectly scaled golden rectangle. You can do this forever, creating an endless spiraling cascade of identical proportions. It is mathematically obsessive self-similarity, stubbornly refusing to lose its aesthetic ratio no matter how many times you mutilate it.

Why golden rectangles survive every cut
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