If you divide a line into two parts so that:
the longer part divided by the smaller part
is also equal to
the whole length divided by the longer part
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No. There is no platinum ratio.
The pattern that occurs in the golden ratio is a spiral.
No, but the ratio of each term in the Fibonacci sequence to its predecessor converges to the Golden Ratio.
It is not. The Golden Ratio was known and used thousands of years before baseball was invented.