Imagine you are standing in front of a mirror, facing it.
Raise your left hand. Raise your right hand. Look at your
reflection. When you raise your left hand your reflection
raises what appears to be his right hand. But when you tilt
your head up, your reflection does too, and does not appear
to tilt his/her head down. Why is it that the mirror appears
to reverse left and right, but not up and down?
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Answer Posted / damon
Answer #7 is the most correct, but it doesn't fully explain
the "discrepancy" it mentions. A complete answer to this
rather deep question should also explain why the left-right
direction appears to be "special". Humans perceive a left-
right swap instead of an up-down swap because humans are
left-right symmetric. A radially symmetric being (e.g. a
one-eyed worm staring the mirror head-on) would probably
not perceive a left-right swap OR an up-down swap. Let me
explain mathematically.
As answer #7 mentions, the mirror actually swaps front and
back. As it happens, this is mathematically equivalent to
swapping left and right (plus a 180 degree rotation along
the vertical axis), and it's also equivalent to swapping up
and down (plus a 180 degree rotation along the horizontal
axis), among other options. We humans instinctively choose
the first option because we're left-right symmetric. The
worm might just as easily choose the second one -- or
neither.
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