Raemon comments on Rationality Quotes August 2012 - Less Wrong
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-- In Flight Gaiden: Playing with Tropes
(Conversely, many fictions are instantiated somewhere, in some infinitesimal measure. However, I deliberately included logical impossibilities into HPMOR, such as tiling a corridor in pentagons and having the objects in Dumbledore's room change number without any being added or subtracted, to avoid the story being real anywhere.)
Tiling the wall with impossible geometry seems reasonable, but from what I recall about the objects in Dumbledore's room, all the story said was that Hermione kept losing track. Not sure whether artist intent trumps reader interpretation, but at first glance it seems far more likely to me that magic was causing Hermione to be confused than that magic was causing mathematical impossibilities.