I've been trying to figure out a way to fix the parity of one flipped edge on the last layer of the mixup cube (solving Beginners method), and I can't seem to fix it. Does anyone have an algorithm or a method of fixing this parity?
Edges and centers are interchangeable on this puzzle. Do you know how to twist a center 180? Or a pair of centers 180? Put the edge in a center position and do that.
With bmenrigh's method you can flip one edge with 8 twists without disrupting anything else
that is already in place.
For example, hold the puzzle with the flipped edge at FL.
1. Twist the middle horizontal layer 45˚ to bring the flipped edge to the front center location.
2. Twist the middle vertical layer 90˚ to bring the flipped edge to the top center location.
3. Twist the top layer 180˚.
4. Undo twist #2.
5. Undo twist #1.
6. Repeat twist #2.
7. Repeat twist #3.
8. Repeat twist #4.
You can also use something similar to this to twist one edge in the middle layer 90˚ clockwise and another edge or center in the middle layer 90˚ anti-clockwise. Whichever way you go in twist #3, go the opposite way in twist #7.
Master_Twister, this is simply the method I learned to twist centers on a picture cube, that can be adapted to twist edge pairs, or edge-center pairs on the Mixup Cube.