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 4x11 Grid Fill (Posted on 2010-03-21)
Can a 4x11 rectangular grid of square blocks be covered (having no overlaps), with multiple copies of the tetromino (including rotations, but not reflections) as shown below?

__
|__|_____
|__|__|__|

If so, give an example. If not, provide a proof that this cannot be achieved.

Note: Each of the 44 square blocks of the 4x11 grid has the same shape and size as each of the 4 square blocks of the tetromino.

 No Solution Yet Submitted by K Sengupta Rating: 1.0000 (1 votes)

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 J or L | Comment 2 of 7 |

I agree that there seems to be no solution.  A quibble: the pieces could be better described as "J" shaped (an "L" shape would be a disallowed "reflection").  Two will fit together to form a 2x4 rectangle.  A construction would prove the contrary, but I do not know what form an impossibility proof might take.

 Posted by ed bottemiller on 2010-03-22 11:57:21

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