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Why does a mirror appear to reverse things from left to right, but not top to bottom?

It's an old riddle, with a subtle answer. Richard Feynman gave an account of his days at Princeton, where freshman were often accosted by sophomores with such questions. Part of Feynman's genius was figuring things out in advance, so that he seemed to have the answer to impossible questions almost instantly. 

Hint to the answer - when you look at your image in the mirror, what is hidden from view?

Update August 15, 2016: Mathologer (a YT channel that I just discovered and to which you should all subscribe, if you love math) has a detailed video on this

Posted - July 28, 2016

Responses


  • 34432

    It does not reverse things.  It is all perspective.

      July 28, 2016 10:38 AM MDT
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  • 44649

    I used to ask that to my physics students. To me the answer is obvious but I can't put it into words.

      July 28, 2016 10:45 AM MDT
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  • 17260

    We don't see our backs. But you would actually see yourself reverse if you'd be standing on a mirror placed on the floor. :-)

      July 28, 2016 10:54 AM MDT
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  • 17614

    To confuse people.  Obviously, it works.

    When we look into a mirror we don't see the opposite side of our body and what is directly behind us and close to us.

      July 28, 2016 11:18 AM MDT
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  • 46117

    Uh the back?    I cannot see my back.  I cannot see the back of the mirror, but I don't see how that plays into any answer.

    It's a reflection. 

    REFLECTION? Here is the answer and there is a nice song to read while you read the answer.
    http://www.icoachmath.com/math_dictionary/reflection.html

      July 28, 2016 11:20 AM MDT
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  • 46117

    Winged WHAT ARE YOU SAYING?  Are you Donald Trump now?  You know, but you are not going to TELL anyone? 
    That is what the ANSWER is for.  You are supposed to ANSWER so EVERYBODY can see the ANSWER. 

      July 28, 2016 11:22 AM MDT
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  • 1113

    Yes, perspective is one aspect of it, but it does show a reversed image.

      July 28, 2016 12:40 PM MDT
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  • 1113

    Very nice, that's totally correct, we don't see our backs. Why? And that's an excellent point about the mirror lying on the floor. That's another clue to the answer. :)

      July 28, 2016 12:42 PM MDT
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  • 1113

    Yeah, it's confusing, for sure. So if we don't see the opposite side of our body, what exactly is reversed?

      July 28, 2016 12:43 PM MDT
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  • 1113

    So, if we don't see our backs in the mirror, what does that tell us? Something is clearly reversed here, and although it appears that writing is reversed left to right, for example, how does that work exactly?

      July 28, 2016 12:45 PM MDT
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  • 1113

    The answer is simply put into words, when you notice exactly what is reversed. We know it's not up/down, and although it appears to be left/right, that's not exactly it either. So what direction remains?

      July 28, 2016 12:47 PM MDT
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  • Thanks, this will bother me until it's explained, but I'm not looking anything up. So, I'll just guess. To answer the question, the back of the mirror is hidden from view. A mirror is not a lens. Or something.

      July 28, 2016 12:48 PM MDT
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  • 1113

    LOL, I know what you mean, about seeing an ass in the mirror. Sometimes, I don't want to even look at myself! But actually, the ass is just what you don't see, normally (hint hint)... ;-)

      July 28, 2016 12:49 PM MDT
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  • 17260

    It is indeed!

      July 28, 2016 1:01 PM MDT
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  • Nothing's reversed. If I turned around, my left is my left and my right would be right.

      July 28, 2016 1:06 PM MDT
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  • 1113

    Yes, that's true, the back of the mirror is hidden, but I was referring to what is hidden in the mirror image. I think this gives a clue as to how the image is actually reversed.

      July 28, 2016 1:09 PM MDT
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  • 34432

    No the image is not reversed.

      July 28, 2016 1:18 PM MDT
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  • 3191

    I don't know the scientific explanation, but the way I see it is that when I'm looking in a mirror it is as if I am facing myself.  I am seeing myself as another person facing me would see me.

      July 28, 2016 1:27 PM MDT
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  • You must have a big mirror.  A good mirror. 

      July 28, 2016 1:30 PM MDT
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  • 46117

    LOOLOL

      July 28, 2016 1:41 PM MDT
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  • 46117

    I SAID read my site.  Do you think I am smart?  Please.  Don't expect that from me too. 

      July 28, 2016 1:42 PM MDT
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  • 1113

    Then how do you explain how writing appears backwards to us in a mirror? "Perspective" describes how apparent sizes change with distance, so I don't think it applies to this phenomenon. Whether the letters on a page appears big or small, they do appear to be reversed in a mirror.

      July 28, 2016 1:44 PM MDT
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  • 1113

    Haha OK, I didn't see the link. That pretty much covers it.

      July 28, 2016 1:46 PM MDT
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  • 1113

    Not quite. If it were an exact copy of yourself, facing yourself, then when you raised your right hand, the copy would raise its right hand also. But what you see is the image raising its left hand, when you raise your right. So this "copy" of you appears to have a subtle, but very distinct difference to yourself.

      July 28, 2016 1:49 PM MDT
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