Golden Ratio Calculator
Calculate golden ratio proportions using phi (1.618...). Perfect for design, art, architecture, and typography.
Golden Rectangle Visualization
The golden rectangle divides into a square (A) and a smaller golden rectangle (B). The spiral approximates the golden spiral.
Fibonacci Sequence
01123581321345589144233377
As Fibonacci numbers grow, the ratio between consecutive numbers approaches phi (1.618...).
Ratio of last two terms:377 / 233 = 1.6180257511
Applications in Design
- -Typography: Line heights, font size ratios
- -Layout: Column widths, margins, padding
- -Images: Cropping, composition guidelines
- -UI Elements: Button sizes, card proportions
Golden Ratio in Nature
- -Spiral patterns in shells and galaxies
- -Leaf and petal arrangements in plants
- -Proportions of the human body
- -DNA molecule structure
Golden Ratio Formulas
Definition
phi = (1 + sqrt(5)) / 2
1.6180339887...
Relationship
A / B = (A + B) / A = phi
The golden proportion
Given A, find B
B = A / phi
Divide by 1.618...
Given B, find A
A = B * phi
Multiply by 1.618...
Given A+B, find A
A = (A+B) / phi
Total divided by phi
Reciprocal Property
1 / phi = phi - 1
0.6180339887...