Fig. 2. On a two-dimensional matrix, a site can be connected via either its four horizontal and vertical neighbors or its eight horizontal, diagonal, and vertical neighbors. The size of connected patches increases as the density of sites in an area increases. The area is connected (the path is shown by the lines) from one side to another, at a lower density via the 8-cell Moore neighborhood (0.4) and at a higher density when the connection is through the 4-cell von Neumann model (0.6).