I've worked my way up through the cubes, 2x2, 3x3, 4x4 and so on, all the way up to the 11x11. I have no problem solving any cube except for the 11x11. Let me explain.
The 11x11 puzzle at the very end, when it's almost completely solved, always ends up with 2 edges that need swapping. The edges are either opposite or adjacent to each other, just like what happens on an even-numbered cube.
In the end I'm left with an entirely solved cube except for these 2 remaining edges that need swapping. I can easily solve this dilemma on the even-numbered puzzles (ie. 4x4, 6x6, 8x8).
I wish someone could explain to me why this happens on the 11x11. Has this ever happened to you? What I'm really looking for is an algorithm to help me so that I can finally solve this.
Thanks in advance,