Gunnar_Zarncke comments on Open thread, Feb. 9 - Feb. 15, 2015 - Less Wrong Discussion
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I've been lurking for a while and wasn't going to join the discussions until I'd finished the sequences, but it doesn't look like anyone has mentioned the possibility of just switching to a 28 hour sleep cycle. I've wanted to try one for years, but college or work always conflicted.
Basically, you go to sleep 4 hours later each night. Your first bedtime is midnight, then 4AM, then 8AM, etcetera. By the 6^th sleep cycle, you will have slipped back a total of 24 hours. Because of this, the crossover point occurs after 7 days. This means it is possible to maintain a relatively normal schedule, so long as you can leave work early on Mondays, and get to work late on Fridays due to sleep.
Xkcd has a rather nice graphical illustration, and the comic explanation is a bit more thorough than I was.
See also c2's 28 hour day and 36 hour day
I agree with tut that this doesn't work as any kind of regular schedule. Possibly temporary when you are young and have enough extra power to burn.