cmhardw
Premium Member
What about rotating around an edge or corner?
Ok I'm at home and have my megaminx.
Flipping about an edge:
Performs 14 disjoint 2-cycles on edges and leaves 2 edges in place. This is an overall even permutation.
Performs 10 disjoint 2-cycles on corners for an overall net even permutation on corners.
No parity error is created here.
Rotating about a corner:
Performs 10 disjoint 3-cycles on edges. This is an overall even permutation.
Performs 6 disjoint 3-cycles on corners, and leaves 2 corners in place. This is an overall net even permutation on corners.
No parity error is created here.
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The Holey Megaminx has no parity error.
Chris