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My intuition is that although you might be able to apply small rotations and maintain consistency, you can't do 180° without making it stop working. So it can't behave as a real object in free space would.
Seems someone tried it already and agrees with my intuition: you have to do it in orthographic projection and you get discontinuities at certain angles:https://www.youtube.com/watch?v=wfDMRn_euXY …
