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On the page about infinity we mention that there are things that go wrong if you rely on your intuition. This page describes one of them. You may also want to see the page where CantorVisitsHilbertsHotel, or the BallsInBarrels page.
But start with a bunch of blocks.
How far can it go?
Most people guess, correctly, about half way.
So far so good.
How far do they get?
Well, the combined centre of gravity can't go further than the edge of the table, so the second block ends up a quarter of the way off the table.
That means the top one is actually 3/4 off the table!
The answer may surprise you.
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