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Golden ratio section

Divide a segment into golden-ratio proportions—useful for layout sketches, art composition notes, and geometry curiosity.

Client
φ ≈ 1.618034
Long segment: 61.8034
Short segment: 38.1966
Ratio long:short ≈ 1.6180:1

Nearby workflows on Toolcore

  • Fibonacci sequence generatorGenerate the first n Fibonacci numbers (0, 1, 1, 2, …) locally—up to 500 terms. when units or numeric output should be checked on a related calculator.
  • Ratio simplifierReduce ratio a:b to lowest terms using GCD—whole-number ratios in your browser. when units or numeric output should be checked on a related calculator.
  • Nth Fibonacci numberReturn F(n) for the Fibonacci sequence with F(0)=0, F(1)=1—iterative BigInt-safe path for moderate n. when units or numeric output should be checked on a related calculator.
  • Math expression evaluatorEvaluate basic + − × ÷ arithmetic with parentheses in your browser—no variables. when units or numeric output should be checked on a related calculator.

Common use cases

  • Plan proportional margins or hero sections in design mockups.
  • Verify φ ≈ 1.618 splits for classroom geometry exercises.

Common mistakes to avoid

  • Negative length

    Only positive totals are meaningful for this split.

FAQ

What is φ?

The golden ratio (1+√5)/2 ≈ 1.618—the long part divided by the short part.

Units?

Use any unit (px, cm, ft)—the ratio is unitless.

Related utilities you can open in another tab—mostly client-side.