Golden Ratio Calculator
Golden Ratio from Value
Calculate the golden ratio pair from any measurement
Golden Rectangle
Calculate golden rectangle dimensions for design
Golden Spiral / Fibonacci
Generate Fibonacci-based golden ratio sequence
Formula
phi = (1 + sqrt(5)) / 2 = 1.618034... | a/b = (a+b)/a = phi | Golden Rectangle: width/height = phi
Frequently Asked Questions
What is the golden ratio?
The golden ratio (phi, approximately 1.618034) is a mathematical proportion found throughout nature and considered aesthetically pleasing. Two quantities are in the golden ratio when their ratio equals the ratio of their sum to the larger quantity.
How is the golden ratio used in design?
Designers use the golden ratio for layout proportions, typography scales, spacing, logo design, and composition. It creates visually harmonious relationships between elements.
What is the golden rectangle?
A golden rectangle has sides in the golden ratio (1:1.618). When you cut a square from it, the remaining rectangle is also a golden rectangle. This creates the basis for the golden spiral.
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