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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)

Comments: ( Back to comment list | You must be logged in to post comments.)
Hints/Tips QUOTE | Comment 6 of 7 |
h X w rectangle can be tiled with L-tetrominoes if and only if: 1) each of h and w is greater than 1, and 2) 8 divides hw (pp. 47-48). ...
<CITE>www.jstor.org/stable/2324984</CITE>

 


  Posted by Ady TZIDON on 2010-03-23 02:50:37
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