What are golden numbers and what is the point of them?
The golden number is a ratio. Draw a line with endpoints A and C. Now somewhere along that line is point B. The position of point B makes a curious property: (BC) / (AB) = (AC) / (BC) Remember, AC is AB + BC AB = x BC = y AB + BC = AC = x + y y / x = x / (x + y) x^2 = xy + y^2 y^2 + xy – x^2 = 0 Solve for y with the quadratic formula: a = 1 b = x c = -x^2 (-x +/- sqrt(x^2 + 4x^2)) / 2 (-x +/- x * sqrt(5)) / 2 x * (-1 +/- sqrt(5)) / 2 = y (-1 +/- sqrt(5)) / 2 = y/x That’s all it is mathematically. The number is special because we do find numerous examples of it in nature, including the patterned arrangement of seeds in a sunflower, breeding populations (Fibonacci Sequence develops the golden ratio), the proportions of physical features in people (people who have features that are extremely close to the golden ratio are usually considered more attractive, which has lead researchers to believe that there is a subconscious part of us that desires that ratio), etc… Some poeple will claim
