Comparison between the core (stars) and halo (dots) line parameters (top: FWHM, bottom: peak position) resulting from our 3D fit method and 1D fit performed on the Lyα lines extracted in the central region (r < ) and outer regions (r >  1″) of the LAH. This exercise is performed for the six brightest LAHs of our sample (same color coding as Fig. 3). The grey shaded area indicates a difference of less than one MUSE pixel (set for z = 3).