Golden rectangle
Rectangle with side lengths in the golden ratio
Golden rectangle
In geometry, a golden rectangle is a rectangle with side lengths in aspect ratio φ : 1 {\displaystyle \varphi :1} , the golden ratio, where φ = 1 2 ( 1 + 5 ) ≈ {\displaystyle \varphi ={\tfrac {1}{2}}{\bigl (}1+{\sqrt {5}}{\bigr )}\approx {}} 1.618 {\displaystyle 1.618} . That is, one side of the rectangle is φ {\displaystyle \varphi } times longer than another. Golden rectangles exhibit a special form of self-similarity: if a square is added to the long side, or removed from the short side, the result...
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