Ok, so define a tromino as a $1$x$3$ tile. If a corner is removed from an $8$x$8$ board, is it possible to tile it with these trominoes? So far, I have concluded that you would need $21$ trominoes to tile the remaining $63$ squares. If you color the squares three different colors, it is possible to have an equal number of each. I alternated the diagonals for each color. Theoretically, a tiling should be possible right? I have been trying to find such a tiling, but each time I end up with three squares that cannot fit the shape of the given tromino. Are there any possible tilings? Thanks.
2026-05-05 18:24:18.1778005458
How can you tile this checkerboard with trominoes?
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