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Ben Frankel
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You have an 8x8 board, and you must partially cover it with a single kind of tetromino in such a way that it is impossible to place any additional tetrominoes of that kind in the empty spaces. Additionally, no two tetrominoes may touch by their edges.

I consider tetrominoes that are reflections of each other to be different, so there are 7 possible choices:

I, J, L, O, S, T, Z.

For which tetrominoes is this possible, and how many pieces does it require?For which tetrominoes is this possible, and how many pieces does it require (minimum)?

You have an 8x8 board, and you must partially cover it with a single kind of tetromino in such a way that it is impossible to place any additional tetrominoes of that kind in the empty spaces. Additionally, no two tetrominoes may touch by their edges.

I consider tetrominoes that are reflections of each other to be different, so there are 7 possible choices:

I, J, L, O, S, T, Z.

For which tetrominoes is this possible, and how many pieces does it require?

You have an 8x8 board, and you must partially cover it with a single kind of tetromino in such a way that it is impossible to place any additional tetrominoes of that kind in the empty spaces. Additionally, no two tetrominoes may touch by their edges.

I consider tetrominoes that are reflections of each other to be different, so there are 7 possible choices:

I, J, L, O, S, T, Z.

For which tetrominoes is this possible, and how many pieces does it require (minimum)?

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Ben Frankel
  • 3.6k
  • 20
  • 34

Occupy a field with your choice of tetromino

You have an 8x8 board, and you must partially cover it with a single kind of tetromino in such a way that it is impossible to place any additional tetrominoes of that kind in the empty spaces. Additionally, no two tetrominoes may touch by their edges.

I consider tetrominoes that are reflections of each other to be different, so there are 7 possible choices:

I, J, L, O, S, T, Z.

For which tetrominoes is this possible, and how many pieces does it require?