Figure 1.

Surface bearing different statistical patterns. The two different types of sites are colored red and yellow, with the neutral background being blue. The top right (bottom left) quarter is statistically alternating (blocky); the other quarters are statistically random. The black and white trajectories are two-dimensional projections of the center of mass positions of statistically alternating and blocky DHPs, respectively. 1 (2) and 1′ (2′) are starting and ending positions of the statistically blocky (alternating) DHP.