Message #3395

Subject: 3^4 parity?
Date: Mon, 27 Jun 2016 16:51:22 -0700

My first four solves, I got the better side of a coin flip and didn’t get any parity. But ever since I had completed my second solve, it occurred to me that I probably should be encountering some sort of parity issues; maybe flipped/swapped 3c/4c pieces … and now on my fifth solve I have two swapped edge pieces. I’m not really sure what to do now. I’ve been thinking about this for most of the day, and I understand 100% why this happens, but I don’t entirely know how to fix it. I have a vague idea to rotate one face 90° and "get away with it" (i.e. reposition the 1c/2c pieces of the middle slice of that face back to where they started, while keeping an even number of 90° rotations of the center) but I’m not really sure how to accomplish that, because I can’t do a four-cycle of 2c pieces.

I am not looking for a solution to this parity; I am looking for an explanation of how to go about creating one. If an example solution is necessary to do that, that’s fine. Thanks. :)