Golden Ratio Calculator
Determine the perfectly balanced proportions of the Golden Ratio. Enter one value to instantly find the corresponding segments based on the divine proportion (φ ≈ 1.618).
What is the Golden Ratio?
The Golden Ratio (approximately 1.618), denoted by the Greek letter Phi (φ), is a mathematical constant that appears when the ratio of two quantities is the same as the ratio of their sum to the larger of the two quantities. It is often associated with aesthetic beauty in art, architecture, and nature.
How do you calculate the Golden Ratio?
The formula for the Golden Ratio is (1 + √5) / 2. If you have two segments A and B where A is longer than B, they are in the golden ratio if (A + B) / A = A / B = φ.
Where is the Golden Ratio found in nature?
The Golden Ratio can be seen in the spiral patterns of shells, the arrangement of seeds in a sunflower, the branching of trees, and the proportions of the human body.
What is the Golden Rectangle?
A Golden Rectangle is a rectangle whose side lengths are in the golden ratio. It is considered one of the most visually pleasing geometric shapes and has been used extensively in design and architecture, such as the Parthenon.