The Superflip (image below) is an example of a configuration where no two squares of the same color are adjacent.
I'm interested to know how many solvable configurations (that is, those that you can reach from a solved cube) with no two squares of the same color adjacent exist (I found it hard to get there by randomly rotating sides).
- A related question on Puzzling.SE provides examples of such configurations
- A Quora question and Math.SE question remain unanswered