A Frameless 2-Coloring of the Plane Lattice

05/19/2020

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by   Craig S. Kaplan, et al.

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A picture frame in two dimensions is a rectangular array of symbols, with at least two rows and columns, where the first and last rows are identical, and the first and last columns are identical. If a coloring of the plane lattice has no picture frames, we call it frameless. In this note we show how to create a simple 2-coloring of the plane lattice that is frameless.