If you are in Gimbal lock, can you simulate a rotation around the X axis by simultaneously changing X and Y?
I first found out about the gimbal lock problem from playing Kerbal Space Program. Apparently it was a major problem during the Apollo 11 mission, but their solution instead of adding a fourth gimbal was to display a warning at 70 degrees and freeze at 85 degrees.
Another example is in video game, once you are pointed 90 degree to the sky, moving your mouse left and right will only have the person spinning around.
Is this the same as the singularity in robotics? If so, then no matter how we represent we will always reach this state right? Or the question might be, why does this state only appear in one certain representation?