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Rectangle on red-blue plane

Best Answer vistaptb, 02 July 2013 - 09:59 PM

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#1 witzar


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Posted 02 July 2013 - 04:46 PM

Each point of the plane is painted either red or blue.

Prove, that there exists a rectangle with all vertices of the same color.

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#2 Anza Power

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Posted 02 July 2013 - 08:15 PM

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#3 vistaptb


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Posted 02 July 2013 - 09:59 PM   Best Answer

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#4 Yoruichi-san


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Posted 03 July 2013 - 06:43 PM

Nice, vista, efficient and simple solution...I was trying to draw grids of right triangles :lol:


(Just thought it was about time someone actually said something nice about someone else's solution ;P)


Edit:  Oh, and thanks for the puzzles, btw, witzar, they've been fun and interesting ^_^.

Edited by Yoruichi-san, 03 July 2013 - 06:51 PM.

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#5 Anza Power

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Posted 04 July 2013 - 08:15 PM

*headdesk*just realized it's rectangles and not triangles...


Oh well, bonus for everyone else: prove there is one triangle too...

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