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12: 18 :: 2 : 3 NB '6' is a common factor so reduce by '6'. NNB Instead of writing 'as/to' all the time, mathemticians use a colon ':' , and a double colon ( :: ) for the reduced comparsion.
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'.
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