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Table Partition Trial (Posted on 2016-07-24) Difficulty: 3 of 5
Can a 75x75 table (consisting of 75x75 identical square grids) be partitioned into dominoes (1x2 rectangles) and crosses (five square figures consisting of a square and its four neighbors.)

Provide adequate reasoning for your answer.

Source: St. Petersburg City Mathematical Olympiad (Russia)

No Solution Yet Submitted by K Sengupta    
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Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts re: 10/11 of the other pentominoes Comment 3 of 3 |
(In reply to 10/11 of the other pentominoes by Brian Smith)

Nice add-on problem.

The pesky W.  I was getting worried but I got it:

Take a 5x5 square and center a W in it.  You can tile the rest with 10 dominoes.

  Posted by Jer on 2016-07-24 14:14:49
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