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When you have defined a color sequence by random walk, the question remains "How do I place these colors on the squares?" This is one possibility. The locations for the colors are found by a two-dimensional random walk in x-y space. The successive positions are found by moving 1 step in either left-right up-down, or diagonal directions. This results in many of the squares being "over written" by a new color several times. It does have the feature that the colors tend to clump together in islands of all length scales -- something set forth from the outset as desirable.
The over-writing process causes some adjacent squares to have quite different colors, while those squares written at about the same stage of the process will have similar colors -- thus a combination of color clash and color harmony.
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