rec.puzzles Archive

Looking in a small mirror, do you actually see a larger portion of your face when you hold the mirror farther away?

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Problem

Looking in a small mirror, do you actually see a larger portion of your
face when you hold the mirror farther away?  (You are allowed to use
experiment as well as reasoning...)

-- Daniel P. B. Smith <dpbsmith@world.std.com>
Show solution
In article <4r3pbn$kb3@wanda.phl.pond.com>, Matthew T. Russotto
<russotto@wanda.phl.pond.com> writes:
> With a flat mirror, you see the same portion of your face when you
> hold the mirror further away.  In fact, if the mirror is 3" by 5", you
> will see 3" x 5" of your face.

Make that 6" x 10" of your face.  The virtual position of the
face-image is twice as far from you as the mirror is.

I recommend testing this with a CD.  It's shiny, and it's pretty close
to half the size of my face.  So the image of my face fits very neatly
within it.

-- Andrew C. Plotkin <erkyrath+@CMU.EDU>

----

A 3" x 5" mirror should let you see about 9" x 10" of your face.  Each
eye will get a 6" x 10" view, and if your eyes are about 3" apart, each
will see a 3" wide strip the other eye doesn't see.  And you do see
more when you hold it farther away.  But only a little bit.  It's
because your face curves away from the mirror, so if you hold it too
close the bits around the edges are blocked.  Try holding a mirror of
any size right up to your nose.  You can't see your ears any more.

-- Paul Filseth <pgf@lsil.com>