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Cyan comments on Max Tegmark on our place in history: "We're Not Insignificant After All" - Less Wrong
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Like this guy did. Short short version: to get the most out of your star, you drain the energy of the emitted photons until they are (almost) at the temperature of the CMB. Infra-red is still harvestable.
I think the idea is not all the stars in a region -- it's one star per civilization. The basic idea is to maximally exploit energy transfer between the star and interstellar space, so optimal efficiency makes the artifact appear from the outside to be as close to interstellar space as possible.