🌀 Golden Ratio Calculator
Find golden ratio partners for any number
How the Golden Ratio Works
Formula
φ = (1 + √5) / 2 ≈ 1.6180339887...
- 1Enter any number.
- 2The calculator multiplies by φ to find the larger golden ratio partner.
- 3It also divides by φ to find the smaller partner.
- 4The three values form a golden proportion: smaller : input : larger.
- 5Nearby Fibonacci ratios are shown to demonstrate how they approach φ.
About Golden Ratio Calculator
Calculate golden ratio partners for any number. Multiply or divide by phi (φ ≈ 1.618) to find aesthetically harmonious proportions. Shows Fibonacci connection.
Frequently Asked Questions
What is the golden ratio?
The golden ratio (φ ≈ 1.618) is an irrational number where the ratio of the whole to the larger part equals the ratio of the larger part to the smaller part. It appears throughout nature, art, and architecture.
How does Fibonacci relate to the golden ratio?
In the Fibonacci sequence (1, 1, 2, 3, 5, 8, 13...), the ratio of consecutive terms converges to φ. For example, 13/8 = 1.625, 21/13 = 1.615...
Where is the golden ratio used?
The golden ratio appears in art (Mona Lisa), architecture (Parthenon), nature (spiral shells, flower petals), and design (logos, layouts) for its aesthetically pleasing proportions.