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The golden ratio is the solution to x-1 = 1/x.

That is, it's the number whose inverse is the same as itself minus one.

I wouldn't call it a coincidence that there is a solution. It's just ... true?

Like other simple mathematical constants, it pops up in geometry, trigonometry, number sequences, fractals, etc. I'm not sure if these count as coincidences to you or not.

It shows up in nature, too, although not always precisely, and not exclusively. There's lots of math in nature. There's math in everything!

It's also used in art and architecture.

I guess I wouldn't call it more of a massive freak coincidence than any other mathematical truth. Or is there some other reason to?

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Q: Is the golden ratio evidence of a grand design a massive freak coincidence or something else?
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