I’m looking at a puzzle. I’m considering how to solve it. I’m pretty sure there’s no way to solve it. Literally no way to solve it. It simply can’t work. It’s nonsense. It’s clearly impossible. You might as well ask me to make two plus two equal five. But then something clicks, suddenly and decisively. A Copernican shift introduces itself into a simple set of inviolable rules. The center has moved and now everything turns into something else entirely. It feels like a miracle of geometry, of logic, like oh, hey, a fourth dimension has opened up where a wall used to be. Maybe Newtonain shift is a better way to put it. What seemed impossible is now as simple as letting gravity take an apple.
This is a companion discussion topic for the original entry at http://www.quartertothree.com/fp/2016/01/29/the-witness-is-a-puzzle-wrapped-in-a-puzzle-inside-a-puzzle