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bonanova
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This reminds of the old triangle puzzle, where by assuming they perfectly line up (even though there was a slight slope difference) you gained an extra space supposably.

Very similar thing is happening here, and TwoADay hit it on the nail.

If they were identically switch, there would be all people - but misaligned.

Since they add the gap, they delete the space that creates an extra person

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The secret is the total area on the foreground remains same. I can give some examples...like person 1 losing some of his head, person 2 and 3 losing some of their feet. In this manner, the net area lost from every person adds up to create another person.

post-3877-1203039899_thumbgif

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The secret is the total area on the foreground remains same. I can give some examples...like person 1 losing some of his head, person 2 and 3 losing some of their feet. In this manner, the net area lost from every person adds up to create another person.

OK, but where does the extra face come from?

It's not just area, it's also detail and shape.

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Here is the deal, when one side is moved it moves ignoring the last guy. When the other side comes back along it goes to the last guy. This means they are not being swapped properly. You can notice this because one time the last guy has full hair the other is a buzz cut. If you did a perfect swap, then you would still have all 13 people yet some of the would be misaligned or chopped in half.

The way I noticed it was using paint. Grabbed a screenshot of both pictures and worked from there.

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