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Through the Looking Glass (Posted on 2004-01-29) Difficulty: 4 of 5
When one looks into a mirror, one see an image of himself....

When raising one's right hand, the image raises its left. When raising one's left, the image raises its right.

So, why is it that the mirror reverses left and right, but not top and bottom? Why does a mirror appear to invert the left-right directions, but not up-down?

  Submitted by SilverKnight    
Rating: 3.6667 (6 votes)
Solution: (Hide)
Mirrors invert front to back, not left to right.

The popular misconception of the inversion is caused by the fact that a person when looking at another person expects him/her to face her/him, so with the left-hand side to the right. When facing oneself (in the mirror) one sees an 'uninverted' person.

See Martin Gardner, "Hexaflexagons and other mathematical diversions," University of Chicago Press 1988, Chapter 16.

Interestingly, a letter by R.D. Tschigi and J.L. Taylor published in this book states that the fundamental reason is:
"Human beings are superficially and grossly bilaterally symmetrical, but subjectively and behaviorally they are relatively asymmetrical. The very fact that we can distinguish our right from our left side implies an asymettry of the perceiving system, as noted by Ernst Mach in 1900. We are thus, to a certain extent, an asymmetrical mind dwelling in a bilaterally symmetrical body, at least with respect to a casual visual inspection of our external form."

Comments: ( You must be logged in to post comments.)
  Subject Author Date
SolutionSOLnilshady2005-04-21 17:14:39
Solutionsolutionvije2004-07-05 10:54:03
re: This is science right ?notlogical2004-06-22 23:30:24
the mirror problemnotlogical2004-06-22 23:28:04
Some Thoughtsconcave?logischer Verstand2004-04-19 18:02:28
Looking glassWally2004-03-16 20:00:29
i think....chuck2004-02-07 12:30:06
SolutionOne way to think about itTristan2004-02-03 22:32:15
SolutionAnswerFederico Kereki2004-01-30 07:14:38
SolutionAlice didn't worry about itDan Blume2004-01-29 18:38:23
This is science right ?Jane Doe2004-01-29 18:06:27
SolutionsolutionCharlie2004-01-29 16:00:52
Solutionanswer (somewhat spoiler)DJ2004-01-29 15:40:43
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