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Wouldn't a solved cube actually be several possible points in that space? My intuition suggests that the inner four squares on each side could be rotated someho
by entropicdrifter 8y ago
Wouldn't a solved cube actually be several possible points in that space? My intuition suggests that the inner four squares on each side could be rotated somehow, but I haven't learned the skill of solving rubik's cubes, so I'm not sure if that's true.
- blattimwind 8y ago> (let's assume we already normalize for orientation etc.)
- cvoss 8y agoIn the usual setting, the various orientations of the centers are considered irrelevant because you can't tell them apart. So those points in the configuration space are considered the same point. There is such a thing as a cube with marked centers, sometimes called a supercube, where the difference does matter. These are harder to solve, and I believe God's number is still unknown in that setting.