What this calculator does
Golden ratio works out splits a length into golden-ratio proportions, or scales a rectangle side by φ. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.
The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.
The formula
Formulaφ = (1+√5)/2 ≈ 1.618; longer/shorter = φ; total/longer = φ
The inputs explained
| Field | What to enter |
|---|---|
| Length | A number. Starts at 10. |
| This length is | Choose from The shorter part, The longer part, The total to split. |
Worked examples
Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.
How the answer changes with length
Every other input is held at the calculator’s starting values while length varies. Select any row to load that scenario into the calculator.