  Chameleon scalar fields can screen their associated fifth forces from
detection by changing their mass with the local density. These models are an
archetypal example of a screening mechanism, and have become an important
target for both cosmological surveys and terrestrial experiments. In particular
there has been much recent interest in searching for chameleon fifth forces in
the laboratory. It is known that the chameleon force is less screened around
non-spherical sources, but only the field profiles around a few simple shapes
are known analytically. In this work we introduce a numerical code that solves
for the chameleon field around arbitrary shapes with azimuthal symmetry placed
in a spherical vacuum chamber. We find that deviations from spherical symmetry
can increase the chameleon acceleration experienced by a test particle by up to
a factor of $\sim 3$, and that the least screened objects are those which
minimize some internal dimension.
