MHB How Can You Tile an $8 \times 8$ Chessboard with L-Shaped Pieces?

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    2015
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The discussion focuses on the challenge of tiling an $8 \times 8$ chessboard with one missing square using L-shaped pieces that each cover three squares. Participants are encouraged to explore various methods to solve this problem, although no solutions have been presented yet. The missing square can be any square on the board, adding complexity to the task. The thread also references guidelines for participating in the Problem of the Week (POTW). Ultimately, the problem remains unsolved, inviting further exploration and discussion.
Ackbach
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Here is this week's POTW:

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Tile an $8 \times 8$ chessboard, with one square missing, with L-shaped pieces that cover three squares each. The missing square is arbitrary.

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Remember to read the http://www.mathhelpboards.com/showthread.php?772-Problem-of-the-Week-%28POTW%29-Procedure-and-Guidelines to find out how to http://www.mathhelpboards.com/forms.php?do=form&fid=2!
 
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No one solved this week's POTW. Here is my solution below:
You sort of recursively move outward from the missing square, as shown:

View attachment 4664

Note I haven't completely covered the $8\times 8$ square, but you should be able to see the pattern, and how you could complete it.
 

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