Not being very mathematically inclined, these had me puzzled for a while. The first proof shows that
64=65. It's quite convincing, until you actually get graph paper out (like I did) and try to do it yourself. Then you'll discover that the parts don't match up as nicely as they do in the animation.
A more complicated fake proof can be found here, where
1 is shown to equal 2. I started to go glassy-eyed when I began to analyze the equation, so I quickly broke down and peeked at the answer explaining why the proof is wrong. (via
Metafilter)
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