Math
Golden Rectangle Calculator
Find the dimensions of a golden rectangle from one side.
Did this calculator solve your problem today?
✓ Thank you for your feedback!
Report issue to loopingon.com
Sponsored
A golden rectangle has its sides in the golden ratio φ, a proportion found throughout art and nature.
The math behind it
The long side is the short side times φ = (1 + √5)/2 ≈ 1.618. Removing a square leaves a smaller golden rectangle.
Worked Example
Width 10 → length 16.18.
Frequently Asked Questions
Why is it special?
It is self-similar — cutting off a square leaves another golden rectangle, repeating forever.
Advertisement