We examine the Toda frame formulation of the SO(3)-invariant hyper-Kah
ler 4-metrics, namely Eguchi-Hanson, Taub-NUT and Atiyah-Hitchin. Our
method exploits the presence of a rotational SO(a)isometry, leading to
the explicit construction of all three complex structures as a single
t plus a doublet. The Atiyah-Hitchin metric on the moduli space of BPS
SU(2) monopoles with magnetic charge 2 is purely rotational.