Article

On information content in patterns

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Abstract

When a planar,k-colored pattern is sampled using a square grid, assigning a single color to each grid square, the area miscolored can be made arbitrarily small by reducing the grid size, but more information is then required to specify the pattern. This paper gives bounds on the required information as functions of the pattern area, fraction miscolored, and border length, under various assumptions about the shapes of the borders between colors.

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