I'm not sure why you think we're(mathematicians) are rigid based on that link, but it's an interresting way to solve the problem. I knew it beforehand though
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I agree with ganesh. A typical person would try a bunch of ways, and after a while, give up concluding that there is no way to do it.
Come to think of it, my geometry teacher gave us this problem the first day of class when I was a freshman in highschool. Pretty cool problem.
"In the real world, this would be a problem. But in mathematics, we can just define a place where this problem doesn't exist. So we'll go ahead and do that now..."