Golden Rectangle Dimensions Math

Golden rectangles have been used throughout history in architecture art and other areas both intentionally or on accident but there isn t a concensus on why this is. Which is. 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.

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The ratio calculator is an effective tool to assist in calculating ratios in general while the golden ratio calculator will do the same as the golden rectangle calculator with the exception of finding the area of the rectangle.

Golden rectangle dimensions math. Golden rectangles exhibit a special form of self similarity. All rectangles created by adding or removing a square are golden rectangles as well. Try this drag the orange dots on each vertex to reshape the rectangle. A golden rectangle is a rectangle whose length to width ratio equal to the golden ratio φ which has a value of or approximately 1 618 assuming the length is the larger value.

A a a b the calculator will quickly check your work for you. To calculate the area of the golden rectangle by hand simply take the width a and multiply by the length a b. The following diagram shows what it looks like visually. Note that its sides always remain in the golden ratio.

The greek letter phi where is approximately 1 618. How to calculate the golden rectangle. A rectangle with its sides in the golden ratio or 1. In geometry a golden rectangle is a rectangle whose side lengths are in the golden ratio.

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