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Dissected square with center intact (Posted on 2023-11-21) Difficulty: 3 of 5
It is easy to dissect a square into an odd number of congruent pieces such that the center of the square is completely inside one of the pieces. It is harder to do so with an even number of pieces.

(1) Find the smallest even number of pieces for which this is possible.

(2) Find the smallest even number of rectangular pieces for which this is possible.

No Solution Yet Submitted by Jer    
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re: Part 2 Answer Comment 3 of 3 |
(In reply to Part 2 Answer by Brian Smith)

Your solutions are the same as mine.  I don't actually know for sure that either is a minimum though.


I think of the part 2 answer as a 12x12 square with all the 2x3's going the same way.  Then pick a 6x6 square that contains the center.  This inner square is then rotated 90 degrees.




  Posted by Jer on 2023-11-22 09:44:23
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