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Combining Blocks
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.
Contributed by:
Daniel de Souza Carvalho
Based on a program by:
Ed Pegg Jr
SNAPSHOTS
DETAILS
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).
RELATED LINKS
Fractal
(
Wolfram
MathWorld
)
Substitution Systems and Fractals
(
NKS|Online
)
Walsh transforms
(
NKS|Online
)
PERMANENT CITATION
Daniel de Souza Carvalho
"
Combining Blocks
"
http://demonstrations.wolfram.com/CombiningBlocks/
Wolfram Demonstrations Project
Published: January 4, 2008
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