No. There is no platinum ratio.
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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.
It is used in nature all the time. Buds on plant stalks sprout using the Golden Ratio. When architects use the Golden ratio to design a building , the building looks good, and feels good. The Parthenon on the Acropolis in Athens, Greece is such a building. Good artist s often unconciously use the Golden Ratio ; the focus of a painting is never in the centre of the canvas, but at the golden ratio. The ratio is 1: 1.618.... or (phi) = (1 + sqrt(5)) / 2 it is an Irrational number. It also goes by the names , Golden Number, Devine Section, God's Number, etc., Have a look in Wikioedia under 'Golden Ratio'.
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.