Randomno
Banned
The title's a bit ambiguous but I'm not really sure how to ask the question.
For example, 4x4 parity (for reduction) occurs when the last layer centers are switched, and parity algs will solve the edges as well as moving around the centers.
For other puzzles, such as the void cube and 3x3x2, can also have a state unobtainable on a 3x3, because of pieces on a 3x3 that do not exist on those puzzles. This isn't really a good explanation of it though, since the pieces are imaginary unlike the 4x4 centers.
There's also Square 1 parity, which (AFAIK) can't be compared to any other similar puzzle.
For example, 4x4 parity (for reduction) occurs when the last layer centers are switched, and parity algs will solve the edges as well as moving around the centers.
For other puzzles, such as the void cube and 3x3x2, can also have a state unobtainable on a 3x3, because of pieces on a 3x3 that do not exist on those puzzles. This isn't really a good explanation of it though, since the pieces are imaginary unlike the 4x4 centers.
There's also Square 1 parity, which (AFAIK) can't be compared to any other similar puzzle.