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Tiling Squares With Big Holes With L-Trominoes

Dr. Patrick Costello

Dr. Patrick Costello / Eastern Kentucky University

Solomon Golomb in 1954 gave a proof that every 2ⁿ X 2ⁿ board with one square missing could be tiled with L-trominoes.  Tiling rectangular regions with L-trominoes where you have a multiple of 3 squares have also been studied.  Recently, Mathew Cropper posed a problem in The Pentagon regarding tiling a chessboard with the 4X4 center missing.  In this talk, we show how to extend this idea of tiling a board with a large hole missing.

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