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sniffnoySo, a while ago I wrote this entry about what it turns out is called Moser's shadow problem; shortly after I locked it because uh it turns out Jeff didn't want people knowing he was working on the problem. But it turns out that he has since solved that problem, along with Yusheng Luo. (And so in particular, that entry can now be unlocked.)
Worth noting here that in 1989, Chazelle, Edelsbrunner, and Guibas figured out that the answer is yes... if we modify the problem slightly, by allowing projections from finite light sources instead of just light sources at infinity. (I think technically they wrote it in terms of faces rather than vertices, but this makes no difference.) But allowing finite light sources can make a difference, so the original problem remained unsolved. Now, apparently, that gap is closed.
Unrelatedly, I'm also unlocking these two old entries. (Yeah, unlocking old entries has become more of a "when I feel it's appropriate" thing rather than a strict time-based thing.)
-Harry
Worth noting here that in 1989, Chazelle, Edelsbrunner, and Guibas figured out that the answer is yes... if we modify the problem slightly, by allowing projections from finite light sources instead of just light sources at infinity. (I think technically they wrote it in terms of faces rather than vertices, but this makes no difference.) But allowing finite light sources can make a difference, so the original problem remained unsolved. Now, apparently, that gap is closed.
Unrelatedly, I'm also unlocking these two old entries. (Yeah, unlocking old entries has become more of a "when I feel it's appropriate" thing rather than a strict time-based thing.)
-Harry
