Golden Section Ratio Calculator
Calculate the golden ratio (φ ≈ 1.618) between two numbers. Given a value A, find the golden section B such that (A+B)/A = A/B = φ. Also compute the golden ratio conjugate.
Published by:
isCalculator Editorial Team
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How to use this tool?
How to Use the Golden Section Ratio Calculator
- Enter a positive number in the Value A field. This represents the smaller segment of a line divided according to the golden ratio (e.g., 10).
- Click Calculate (or press Enter). The calculator will compute:
- Golden Section B – the larger segment, calculated as B = A / φ (≈ A × 0.618).
- Total (A+B) – the sum of both segments.
- Golden Ratio φ and its conjugate – displayed for reference.
- All values are shown with 6 decimal places. The formula used is: (A+B)/A = A/B = φ.
- Note: Only positive numbers are accepted. If you enter zero or a negative value, an error will appear.
No unit conversion is needed – the calculator works with any consistent unit (e.g., cm, inches, pixels).
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Frequently Asked Questions
The golden ratio (φ) is approximately 1.618, derived from the equation (A+B)/A = A/B. It appears in art, architecture, and nature.
Enter a positive number for A and click Calculate. The calculator returns B = A/φ and the total A+B.
The conjugate is 1/φ ≈ 0.618, often denoted as φ'. It satisfies φ' = φ - 1.
