I guess @rrobukef means if you flip A and B repeatedly, they just swap positions and reverse orientation each time. But if you flip A and B, then B and C, then

I guess @rrobukef means if you flip A and B repeatedly, they just swap positions and reverse orientation each time. But if you flip A and B, then B and C, then A and C, you get B and C to swap positions without changing their orientations.