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Golden rectangle

Rectangle whose side lengths are in the golden ratio / From Wikipedia, the free encyclopedia

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In geometry, a golden rectangle is a rectangle whose side lengths are in the golden ratio, , which is (the Greek letter phi), where is approximately 1.618.

A golden rectangle with sides ab placed adjacent to a square with sides of length a produces a similar golden rectangle.

Golden rectangles exhibit a special form of self-similarity: All rectangles created by adding or removing a square from an end are golden rectangles as well.

A method to construct a golden rectangle. Owing to the Pythagorean theorem,[lower-alpha 1] the diagonal dividing one half of a square equals the radius of a circle whose outermost point is also the corner of a golden rectangle added to the square.[1]