Duration: 1:16:27

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Various methods and ideas for solving very large cubes. I go through a simple but reasonably good method with only Niklas commutators, then the regular cage method I use, along with some variants that may or may not be faster.

Rough sections:
0:00 Advanced Niklas method for centers
7:15 Regular big cube method explanation/solve
33:50 Changes needed for odd cubes
45:40 Soup method, solving edges/3x3 later
47:30 Full clearing
55:22 Idea for last 2 centers
59:40 Thoughts on last 3 edges
1:04:00 Idea for second center on odd cubes
1:11:00 Tips for edge/middle edge problems

A note on the time that methods take: solving an NxNxN cube, for a human, takes O(N^2) moves. This generally means that every individual method will have an average of, say, xN^2 + yN + z total moves. However, the actual values of x/y/z will vary depending on what specific method and variant is being used. One variant might have lower x but higher y than another, and that would mean that in practice it will be slower on relatively small cubes but faster on relatively large cubes. For the largest cubes, you want the method with the smallest possible x no matter how large y and z are, but for smaller cubes (and even 20x20x20 can be a relatively small cube!) your priorities will change.