Definition:Golden Mean/Definition 3

Definition

The golden mean is the unique positive real number $\phi$ satisfying:

$\phi = \dfrac 1 {\phi - 1}$

Decimal Expansion

The decimal expansion of the golden mean starts:

$\phi \approx 1 \cdotp 61803 \, 39887 \, 49894 \, 84820 \, 45868 \, 34365 \, 63811 \, 77203 \, 09179 \, 80576 \ldots$