Golden Ratio Calculator
Calculate and visualize the golden ratio (φ ≈ 1.618033988749895)
Calculation Results
Golden Ratio (φ):
1.618033988749895
Calculated Values:
Visualization:
About the Golden Ratio
The golden ratio (φ) is approximately 1.618033988749895 and is defined as:
- φ = (1 + √5) / 2
- φ = 1 + 1/φ
Properties:
- φ² = φ + 1
- 1/φ = φ - 1
- φ is an irrational number
Applications:
- Art and Architecture
- Nature (Fibonacci sequence)
- Design and Composition
- Mathematics and Geometry