Left: zoom on the most massive halo in the mock. The red circle shows the radius we used to compute the connectivity (1.5 cMpc). We show only the filaments of the skeleton connected to the cluster according to the 3D reconstruction (black) and 2D reconstruction (green). The background distribution logδ is the logarithm of the DTFE obtained from the galaxy distribution in the slice (with photo-zs). Right: distribution of the distances between skeletons. Solid lines show the distribution for the filaments connected to clusters (M200 > 1014 M⊙). The distribution for the global skeleton is shown in the background as thin transparent lines. Top panel: PDF and bottom panel: CDF. The vertical lines and associated error bars in the top panel correspond to the median and error on the median of each distribution.
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