phi

Try it yourself:


phi: the golden ratio

phi is the golden ratio, (1 + √5)/2, approximately 1.618034. It occurs in algebraic identities, geometry, and some recursive sequences.

Use

Use sqrt() to construct its exact form and pow() in its identities. Compare it to pi as another important dimensionless constant, and use numeric() for decimals.

Caveat

Its aesthetic reputation does not make it a universal design rule; use it where the mathematics actually applies.

Use Phi in a calculation

Enter phi on a calculator line to see its built-in value, or place the name inside a longer expression. Keep any displayed unit attached when converting or combining physical quantities, and check that every other value uses a compatible dimension.

The example above is editable, so you can replace surrounding values and test the constant in your own formula. Browse all constants to compare related values and notation.

All constants