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L-Tromino Tiling of Mutilated Chessboards

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Abstract:

An n × n chessboard is called deficient if one square is missing from any spot on the board. Can all deficient boards with a number of cells divisible by 3 be tiled by bent (or L-shaped) trominoes? The answer is yes, with exception of the order-5 board. This paper deals with the general problem plus numerous related puzzles and proofs involving bent tromino tilings.

Document Type: Research Article

DOI: http://dx.doi.org/10.4169/193113409X469352

Publication date: May 1, 2009

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maa/cmj/2009/00000040/00000003/art00002
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