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Reflection in Rectangle (Posted on 2021-06-30) Difficulty: 3 of 5
We have a rectangle with it sides being a mirror. A light Ray enters from one of the corners of the rectangle and after being reflected several times enters to the opposite corner it started. Prove that at some time the light Ray passed the center of rectangle.

No Solution Yet Submitted by Danish Ahmed Khan    
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re: Possible Solution | Comment 4 of 5 |
(In reply to Possible Solution by broll)

You argument seems to say: if they meet, they must meet at the center, therefore the path exits alternate corners.  This is the converse of what was asked.


How does your argument cover the possibility they never meet?



  Posted by Jer on 2021-07-01 08:40:09
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