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4x11 Grid Fill (Posted on 2010-03-21) Difficulty: 3 of 5
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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Prelims | Comment 1 of 7
My first impression is that this is not possible.

Two such tetrominoes can form a 2x4 rectangle. that means that 5 such rectangles will fill a 10x4 rectangle whilst 6 are accommodated within a 12x4.

It seems from my investigations that I am always left  with a 4x1 rectangle or a 2x2  square after I have placed  10 "L" shapes.

Proof?  :-(

  Posted by brianjn on 2010-03-22 04:53:43
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