Void radii (left) and cluster radii distribution (right) in the Quaia catalogue. With full colours, we show structures that are far from the mask (EdgeFlag = 0), while pale bars on top show the number of voids and clusters close to the survey edge (EdgeFlag = 1). We found good agreement when comparing the observations with the mean and standard deviation of the mocks (black and grey data points). On the main panels, error bars correspond to the standard deviations of the 50 mock realizations. In the bottom panels, error bars for the mocks are again estimated from the 50 realisations, while for Quaia we used the binomial sample standard deviation $\sigma =\sqrt{p(1-p)/N}$ with p = N_edge/N_all where N is the number of voids in the bin. We also used these error estimations in Figs. 5–8.