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Qiaochu_Yuan comments on A Series of Increasingly Perverse and Destructive Games - Less Wrong
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I think Game1 is much more interesting than you're making it out to be. Scott Aaronson wrote a lovely essay about a variant of it.
Typing 9s into an Ackermann function performs much worse than iterating the Ackermann function. Now you can define an iterated Ackermann function and start feeding that function into itself... there are lots of fun things to try.