PhiLab

Golden Ratio Calculator

φ = (1 + √5) / 2 ≈ 1.6180339887.

A ratio that reproduces itself

φ is the unique number where the ratio of the whole to the larger part equals the ratio of the larger part to the smaller part — a self-similar proportion that repeats at every scale.

Where designers use it

Artists and architects have used golden-ratio proportions for centuries in composition and layout because rectangles built to this ratio are widely perceived as visually balanced.

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PhiLab

Golden Ratio Calculator

φ = (1 + √5) / 2 ≈ 1.6180339887.

Value a

Golden ratio × a

1.618

φ ≈ 1.6180339887…

φ (constant): 1.618

What you entered

Value a: 1

1
The golden ratio constant φ
(1 + √5) ÷ 2= 1.618
2
Multiply by a
1 × 1.618= 1.618

Result

Golden ratio × a: 1.618

1 × φ = 1.618.

A ratio that reproduces itself

φ is the unique number where the ratio of the whole to the larger part equals the ratio of the larger part to the smaller part — a self-similar proportion that repeats at every scale.

Where designers use it

Artists and architects have used golden-ratio proportions for centuries in composition and layout because rectangles built to this ratio are widely perceived as visually balanced.