If you twist something — say, spin a top or rotate a robot’s arm — and want it to return to its exact starting point, intuition says you’d need to undo every twist one by one. But mathematicians Jean-Pierre Eckmann from the University of Geneva and Tsvi Tlusty from the Ulsan National Institute of Science and Technology (UNIST) have found a surprising shortcut. As they describe in a new study, **nearly any sequence of rotations can be perfectly undone by scaling its size and repeating it twice.**
SpiderSlitScrotums on
Does this have anything to do with the 720 degree symmetry of spinors?
armcie on
I’m missing something here… The article says that if something goes through a bunch of twists, then reversing those twists is complicated and difficult. And the solution they’ve come up with is to do all the twists twice, but smaller? I’m not sure how that’s helpful at all.
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Pretty amazing but also kinda scary
If you twist something — say, spin a top or rotate a robot’s arm — and want it to return to its exact starting point, intuition says you’d need to undo every twist one by one. But mathematicians Jean-Pierre Eckmann from the University of Geneva and Tsvi Tlusty from the Ulsan National Institute of Science and Technology (UNIST) have found a surprising shortcut. As they describe in a new study, **nearly any sequence of rotations can be perfectly undone by scaling its size and repeating it twice.**
Does this have anything to do with the 720 degree symmetry of spinors?
I’m missing something here… The article says that if something goes through a bunch of twists, then reversing those twists is complicated and difficult. And the solution they’ve come up with is to do all the twists twice, but smaller? I’m not sure how that’s helpful at all.