the clouds. The fact that it is a slice through a 3D volume results in the cloud radii appearing systematically smaller than the true cloud radii.

![image](comp_WL_temp_3D_3f818dc2_t250){width="49.00000%"} ![image](comp_WL_dens_3D_3f818dc2_t250){width="49.00000%"}

In Figure \[fig:prof\] we show temperature and density profiles for the same 3D run as in Figure \[fig:slice3D\]. The rays shown illustrate the variations along a line of sight from the origin outward along the direction given by the angles listed in the legend. We also show the radially averaged profiles for temperature and density, but for those we exclude cloud material, here defined as parcels with temperature below $10^5$ K. The averaging is done by calculating a volume weighted sum of all parcels within each radial bin that have hot gas in them and dividing by the volume of parcels (whether or not they have hot gas) in the same radial bin. The WL profile uses the actual value of $C$ for the simulation at the given time ($2.5\times10^4$ yr) and given the current shape of the shock front ($C = 9.0$), which is calculated as the mass in clouds within the shock front divided by the mass in the intercloud medium inside the same volume, both for the initial, undisturbed 