Contrary to continuum theories predicting the lack of influence of mean curvature H on surface diffusion, the "Wave" system seems to exhibit clear correlations between the motion of particles and the mean curvature in regions with H > 0 and H < 0 based on Fig. and S7. However, based on Fig. , there is essentially no difference between the average diffusion coefficients on the Flat and Curved parts in the "Wave" system, thus leading to the apparent conclusion of H not affecting lateral diffusion. Nevertheless, by further decomposing the mean curvature into positively and negatively curved regions, we can conclude that H > 0 indeed enhances, while H < 0 hinders diffusion. These two effects are opposite and equal in magnitude, giving rise to zero net change compared to the flat domains. TOP: "Wave" system, BOTTOM: "Budded" system. The Projected and Geodesic coefficients were determined by the conventional 2D method and using the geodesic distances, respectively. The latter values were further subdivided into categories based on their curvature (See Supporting Information). H: mean curvature, K: Gaussian curvature. The black dots show mean values, and the area covered by the distributions is proportional to the prevalence of the corresponding curvature in the simulated system. Significance evaluated using the two-sample t-test with unequal sample sizes. ****) p < 0.0001, "n.s." stands for "not significant".