bartlaarhoven
Reputation
Top tag
Next privilege 250 Rep.
4
Impact
~200 people reached

• 0 posts edited

12 Actions

 Dec29 comment A small geometry puzzle out of curiosity Thanks :) Your "tiling" suggestion really set me off to the right path, I didn't think of that myself, so I accepted your answer. Dec29 awarded Scholar Dec29 accepted A small geometry puzzle out of curiosity Dec29 comment A small geometry puzzle out of curiosity @CalvinLin Haha I like puzzling but officially I'm just asking for an answer here of course ;) It's not my homework or something, I really just thought of this out of curiosity. And I think I have it in my head how it should work, but how to formally write it down.. I'm not enough mathematician for that anymore I guess ;) The answer that @ barto is giving seems quite right btw. :) Dec29 comment A small geometry puzzle out of curiosity Hm. How do you call that then.. For me $3\sqrt{2}$ and $4\sqrt{2}$ have a "common divisor", being $\sqrt{2}$. And if I do this one on paper, it also works out, you end up in another corner. But the rectangle of 1 by $\pi$ will never work out, just like the rectangle of 3 by $\sqrt{2}$, right? Because you can't divide both sides into an integer number of equally sized parts... (whatever that may be called) Dec29 awarded Supporter Dec29 comment A small geometry puzzle out of curiosity Ah, tiling them, that's a good one. But that means that, for this to work, the two sides should have a common divisor, right? And that would mean that it would work for any rectangle with sides from $\mathbb Q$ but not for example for rectangles size 1 by $\pi$ ? Dec29 awarded Editor Dec29 revised A small geometry puzzle out of curiosity clarified based on a comment Dec29 comment A small geometry puzzle out of curiosity Nope, as I said, I'm looking for a proof that it's true for all rectangles, also with non-integer sizes. Or for a counter-example of course... But to analyze this in my head or with some paper, I use integer sides and for the few cases I did for my self, it always seems to work. Dec29 awarded Student Dec29 asked A small geometry puzzle out of curiosity