Different centered symmetric patterns can be seen splitting each cell of a binary matrix into four blocks, resulting in a matrix. There are different possible patterns (combinations). It is possible to apply the rules to a hexagonal image too.
Each individual cell of nine blocks is divided into four new blocks, with 16 possibilities:
Neighbors: those are the blocks side by side with the central cell (N, E, S, W)
Corners: those are the blocks at each corner (NW, NE, SW, SE)
Center: the cell in the middle
The same data source (the matrix) and rules are used to plot the hexagonal view; the only difference is in how the data is presented.
Inspired by: J. Tarbell, "Breath of Complexity." (January 3, 2007).