The golden rectangle is a rectangle whose sides are in the golden ratio, that is (a + b)/a = a/b = φ, where a is the width, a + b is the length of the rectangle, and φ is the golden ratio: φ = (1+√5)/2.

In geometry, a golden rectangle is a rectangle with side lengths in golden ratio or ⁠ ⁠ with ⁠ ⁠ approximately equal to 1.618 or 89/55. Golden rectangles exhibit a special form of self-similarity: if a square is added to the long side, or removed from the …

A golden rectangle —that is, a rectangle with an aspect ratio of ⁠ ⁠ —may be cut into a square and a smaller rectangle with the same aspect ratio. The golden ratio has been used to analyze the proportions of natural objects and artificial systems such as financial markets, in some cases based on dubious fits to data. [8]

The square root of 5 is approximately 2.236068, so the Golden Ratio is approximately 0.5 + 2.236068/2 = 1.618034. This is an easy way to calculate it when you need it.

2024年7月30日 · This golden ratio calculator helps you to find the lengths of the segments which form the beautiful, divine golden ratio.

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.

If the length of a rectangle divided by its width is equal to the Golden Ratio, then the rectangle is called a "golden rectangle.” If a square is cut off from one end of a golden rectangle, then the other end is a new golden rectangle.

2023年8月1日 · Enter either the length or width of a golden rectangle into the calculator to determine the missing side length.

2025年1月31日 · Given a rectangle having sides in the ratio 1:phi, the golden ratio phi is defined such that partitioning the original rectangle into a square and new rectangle results in a new rectangle having sides with a ratio 1:phi.

2024年4月13日 · Golden Ratio, Golden Mean, Golden Section, or Divine Proportion refers to the ratio between two quantities such that the ratio of their sum to the larger of the two quantities …