Conformal radius (source code)

= Conformal radius
{title2=$\operatorname{crad}_D(z)=|\phi'(0)|$}

For a <simply connected domain> $D\ne\mathbb C$ and $z\in D$, the conformal radius is $|\phi'(0)|$, where $\phi$ maps the unit disc conformally onto $D$ with $\phi(0)=z$. Disc automorphisms fixing zero are rotations, so the value is independent of the chosen map.