All Questions
Tagged with checkerboard tiling
3
questions
16
votes
2
answers
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Placing 2x1 dominoes on a chessboard with two corners removed
Suppose you have a checkerboard with two opposite corner squares removed, like this:
Is it possible to place 31 dominoes of size 2x1 so as to cover all of these squares?
- 1,239
11
votes
2
answers
380
views
Combinatorial Agriculture
You have just acquired a $64$ acre farm, in the shape of a square, and divided into an eight by eight array of one acre subplots. You have $21$ crops to plant. Each crop requires its own $3$ acre plot ...
- 32.5k
12
votes
3
answers
8k
views
Tiling a Chessboard with tetrominos
Is it possible to tile a $10\times10$ chessboard with (non-overlapping) T-tetrominos?
If so, how? If not, prove it's impossible.
Bonus: Which Tetris pieces can used to tile a 10$\times$10 board, ...
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