I got a Megaminx for christmas and Managed to solve it after working at it for a few weeks. I used what I knew of Solving a Rubik's cube and applied some techniques from that. Then I struggled at it for awhile, but I discovered some algorithms that permute corners and orient them. So now I can solve it. Yay.
On a 3x3x3 one can permute the centers fairly quickly, Only 8 are rotations necessary, (or 4 going through the center) in order to switch all 6 centers. I know the centers of a Megaminx can be rearranged because I've solved it into these positions. I'm curious as to what the quickest algorithm is that shifts all the Center pieces and leaves the rest untouched?
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