TremendousEgg Posted September 27, 2014 Report Share Posted September 27, 2014 (edited) Hey! Because I couldn't manage to write a satisfactory EE on the topic I chose last year (it was too ambitious and I couldn't truly understand the theory behind it), now I have to completely change it and find something new. However, I need some help with defining the research question. I've encountered this problem that appeared on Polish Mathematical Olympiad and it sounds interesting: Translation: "We can use tiles with the following shapes: (...) For every odd number n ≥ 7 determine the minimum number of tiles needed to form a square with a side length n. We're allowed to turn the tiles, but they can't overlap." And here come my questions: I know that finding the answer will not be enough, so what kind of generalization can I make about it? Or do you have any ideas for applying it to any other geometric shapes? Do you think it will work? Edited September 27, 2014 by TremendousEgg Reply Link to post Share on other sites More sharing options...
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