  We investigate non-spherically symmetric, scalar field collapse of a family
of initial data consisting of a spherically symmetric profile with a
deformation proportional to the real part of the spherical harmonic
$Y_{21}(\theta,\varphi)$. Independent of the strength of the anisotropy in the
data, we find that supercritical collapse yields a black hole mass scaling $M_h
\propto (p-p^*)^\gamma$ with $\gamma \approx 0.37$, a value remarkably close to
the critical exponent obtained by Choptuik in his pioneering study in spherical
symmetry. We also find hints of discrete self-similarity. However, the collapse
experiments are not sufficiently close to the critical solution to
unequivocally claim that the detected periodicity is from critical collapse
echoing.
