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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.
Because it is an unusual ratio and therefore should be given a different name to differentiate it from other common ratios. Gold is valuable and "Golden" is attributed to that which is attractive. The "Golden Ration" is considered attractive and has many uses.