($q_1=1$) has $T=0$. From top to bottom, the halo shape parameters used to produce Figure \[fig:losdist\] are $T=0.9$ (cigar shape), $T=0.5$ (neither strongly oblate nor strongly prolate), and $T=0.1$ (pancake shape). The axis ratio $q_2$ was held fixed at $q_2=0.5$. Finally, the left column is the distribution of lines of sight for double systems, whereas the right column is the distribution for quads. For ease of comparison, the color scale has been kept fixed in all plots.

Let us begin by looking in detail at the doubles column first. As is to be expected, the distribution of lines of sight is peaked for projections along the long axis of the lens, as this line of sight maximizes the Einstein radius of the projected profile. Moreover, the distribution is very sharply peaked for cigar-like halos (top row), but is rather flat for pancake-like halos (bottom row). The reason that the distribution of lines of sight for pancake-like halos is so flat is simple: for an oblate halo, projecting along either the long or medium axis of the halo results in a large Einstein radius, but also a large ellipticity, so a large part of the multiply imaged region of the source 