Think of a rectangle, with a short side of length 1. To calculate the most aesthetically pleasing rectangle, you simply multiply the length of the short side by the golden ratio approximation of 1.618. So, the long side, in this instance, would have a length of 1.618.

mathematician Leonardo Pisano

Written for tradesmen, “Liber Abaci” laid out Hindu-Arabic arithmetic useful for tracking profits, losses, remaining loan balances and so on, Devlin said. “Liber Abaci” first introduced the sequence to the Western world.

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The golden rectangle is a rectangle whose sides are in the golden ratio, that is (a + b)/a = a/b , where a is the width and a + b is the length of the rectangle.

You can also take this idea and create a golden rectangle. Take a square and multiple one side by 1.618 to get a new shape: a rectangle with harmonious proportions. If you lay the square over the rectangle, the relationship between the two shapes will give you the Golden Ratio.

Can a Golden Rectangle have a shorter base than height? Yes. This is because if you flip a Golden Rectangle, the base becomes the height and the height becomes the base.

Some artists and architects believe the Golden Ratio makes the most pleasing and beautiful shapes. Golden rectangles are still the most visually pleasing rectangles known, according to many, and although they’re based on a mathematical ratio, you won’t need an iota of math to create one.

The Golden Ratio is a mathematical ratio. It is commonly found in nature, and when used in a design, it fosters organic and natural-looking compositions that are aesthetically pleasing to the eye.

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