Maps illustrating the result of the R–L deprojection algorithm on a set of 100 simulated X-ray maps of the Abell 2142 emission (simulated from the observationsof XMM-Newton) assuming spherical symmetry. Left: mean map obtained by averaging the 100 simulated X-ray maps of Abell 2142; right: mean map resulting from the average of the 100 maps obtained after applying the R–L de- and reprojection. Both maps are dimensionless, have the same color scale (ranging from 2e–5 to 8.05e–3, from dark blue to lightyellow) and are shown in logarithmic scale.