Correlation between the turnaround density offset of a structure and the deviations of its neighbours from spherical symmetry. Upper panel: blue points show the turnaround density offset ρ_ta/ρ_ta,SCM as a function of the sphericity metric α_3D (see text) for MDPL2 and Virgo ΛSCDM halos at a redshift z = 0. The two quantities are negatively correlated, as is confirmed by a Spearman test: very significant (very low p-value) moderate correlation, with a correlation coefficient of −0.42 and −0.39 for the two simulations, respectively. The red line shows the mean value of the offset in bins of α_3D. The error in the y-axis depicts the standard error of the mean. The lower panel shows the same as the red points in the upper panel. Different colors represent different redshifts in MDPL2 and Virgo ΛSCDM. In the case of MDPL2 (left panel), we also included a low-tone shaded region showing the 1σ spread of points around the mean.