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The golden ratio, approximately 1.618, is a mathematical proportion found throughout nature, art, and architecture. It has been used by artists and architects for centuries to create aesthetically pleasing compositions. This calculator helps you apply the golden ratio to your designs, layouts, and artwork instantly.
The golden ratio (φ) is approximately 1.6180339887. It occurs when two quantities have the same ratio to each other as the sum of those quantities has to the larger one. In other words: (A+B)/A = A/B = φ.
Designers use the golden ratio to determine proportions for layouts, typography, and images. For example, a golden rectangle has sides in the ratio 1:1.618, which is considered visually harmonious.
A golden rectangle is a rectangle whose side lengths are in the golden ratio (1:1.618). If you remove a square from a golden rectangle, the remaining rectangle is also golden — this property is unique to the golden ratio.
The golden ratio appears in spiral patterns of shells, seed arrangements in sunflowers, branching of trees, and even in the proportions of the human face and body. It is one of the most common mathematical patterns found in the natural world.
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