Golden Ratio Calculator & Visualizer
Calculate golden ratio proportions and visualize the golden spiral for harmonious design layouts.
Golden Ratio Settings
Width (px)
Height (px)
-
Smaller
-
Larger
Golden Ratio Visualization
Golden ratio visualization will appear here
About the Golden Ratio
Mathematical Definition
The golden ratio (φ) is approximately 1.618. It appears when a line is divided into two parts such that the ratio of the whole line to the longer part equals the ratio of the longer part to the shorter part.
Formula
φ = (1 + √5) / 2 ≈ 1.618033988749...
In Nature
- Flower petal arrangements
- Spiral shells and galaxies
- Tree branch patterns
- Human body proportions
- Fibonacci sequence ratios
Design Applications
- Layout Design: Page margins and column widths
- Typography: Font size relationships
- Photography: Composition and cropping
- Architecture: Building proportions
- Logo Design: Harmonious proportions
- Web Design: Grid systems and spacing
Why It Works
The golden ratio creates naturally pleasing proportions that feel balanced and harmonious to the human eye. It's been used in art and architecture for thousands of years, from ancient Greek temples to modern design.