Lumifer comments on Open thread, July 21-27, 2014 - Less Wrong Discussion
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Based on my experience the couple times I stayed awake for more than 24 hours in a row, I think it's very unlikely to be quadratic, at least for large N.
BTW, does anybody know of anyone who's tried http://xkcd.com/320/ for more than a few weeks in a row?
<img src="http://imgs.xkcd.com/comics/28_hour_day.png" title="Small print: this schedule will eventually drive one stark raving mad." alt="28-Hour Day" />
:-D