This link (which looks reputable to me) states that REM usually occurs around 90 minutes after you doze off. I think that before trying the experiment, you should consider that you won’t be getting any REM sleep at all if you actually sleep for the prescribed amount of time, which strikes me as very unhealthy.
Personally, this feels like a batch of psuedoscience, but I could be wrong because I’ve not actually researched it—the link above and some similar things said in a sleep book I own are my only sources of knowledge.
Edit: This comment has been retracted. See my comment below.
I’m curious as to whether there exists a single intelligence-configuration which would theoretically optimize the ability of such intelligences to have fun (as the term has been used in this sequence.) Somehow, most attempts at Utopia/Weirdtopia give me the feeling of being momentary distractions that people will tire of after a pretty short time of living in them—perhaps this is a result of evolutionary psychology, as I don’t think that [ability to have fun] necessarily increases genetic fitness.