GOLDEN RATIO '𝜑'

This is a video on various ways to calculate the Golden Ratio , ‘𝜑’.
We calculate ‘𝜑’, using the Fibonacci sequence way, Lucas number, Golden rectangle, Golden pentagon, Two circles with equal radii, and Continued fraction.

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[EvilSandwich]

Fun fact. The 8.5 x 14 inch legal paper size in the USA have sides that are scaled to the Golden Ratio. But with the "8.65...." of the shorter side rounded down to the nearest half-inch.