Wolfram Demonstrations Project

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).

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Combining Blocks