Math · Geometry

Golden Ratio Calculator

Divide any length at the golden ratio φ ≈ 1.618 — the aesthetically pleasing proportion found throughout art, architecture and nature.

Golden ratio φ = (1 + √5) / 2
1.618033988749895
Longer section (L / φ)
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Shorter section (L / φ²)
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Ratio check (long / short)
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Golden rectangle other side
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Reciprocal 1/φ
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61.8%
38.2%
Longer section Shorter section
PowerValueNotes
Properties: φ = 1 + 1/φ  ·  φ² = φ + 1  ·  φƒ = (a + b) / a = a / b.
Continued fraction: φ = [1; 1, 1, 1, 1, …] = 1 + 1/(1 + 1/(1 + …)).

Any length or unit

Works with px, cm, inches, meters, feet — pick the unit you are designing in.

Visual split bar

See the 61.8% / 38.2% division rendered instantly as you type.

Powers of φ

Explore φƒ for n = −4 to 6 — each relates to the Fibonacci numbers.

Design ready

Perfect for layouts, logos, typography and web spacing systems.

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