Not too long ago I purchased a tip turning starminx. I didn't have any trouble solving it intuitively the first time, but this was because I got lucky and avoided parity! The second time solving it I performed somewhat random moves when I ran into parity, but I don't really know how I did it. This time I have the same parity case, but I can't solve it for the life of me. Maybe one of you can help.

Here's a picture of the case mentioned.
Thanks in advance!



I know the lighting is weird, but just to clarify, the two edges are in reverse orientation in their correct places.

Well how much help did you want here? A straight-forward algorithm or just some intuition?

The interesting thing to notice on this puzzle is that any time an edge travels completely around a face and ends in the same spot that it started, it flips orientation.

What you need to do here is find a way to take one of those flipped edges all the way around a face center, and then put the other edge in its place and take it backwards along the same route, fixing everything you messed up with the first piece and simultaneously flipping it as well.

I would honestly try at it a bit longer before you ask for an algorithm, this situation isn't very hard

Good Luck!
-Matt Galla

It is not parity. It is two 3-cycles and intermediate turns:
(2 1' 2' 1) 5 4 (2' 3 2 3') 4' 5'.

I swap them with a 3-cycle, bring one piece to the other side of the other one, and do a 3-cycle again. it's such an easy puzzle

In hind sight I have no Idea how this case gave me trouble. Thanks anyways fellas, ha

I actually just take both flipped pieces all the way around the face at the same time, in opposite directions, swapping over when they meet, and this fixes it, leaves me with one 3-cycle to solve.