Golden Ratio Calculator
Calculate golden ratio proportions for design and math.
The Golden Ratio (φ)
1.6180339887
Golden Ratio in Design
Font sizes
16px → 26px
Layout widths
300px → 485px
Margins
10px → 16px
Image crops
1:1.618 ratio
Code Examples
const PHI = (1 + Math.sqrt(5)) / 2; // 1.618...
// Given larger value, find smaller
const smaller = larger => larger / PHI;
// Given smaller value, find larger
const larger = smaller => smaller * PHI;Frequently Asked Questions
What is the golden ratio?
The golden ratio (φ/phi) is approximately 1.618033988749895. Two quantities are in the golden ratio if their ratio equals the ratio of their sum to the larger quantity.
Where is the golden ratio used?
Design (logo proportions, layouts), typography (font sizing), photography (rule of thirds is close), architecture, and art. It's also found in nature (shells, plants).