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comment A simple example of symmetry setting the properties of a Physical System
Angular momentum is a good one, but it would be nice to find a more "down to Earth" example (sorry for the pun). Does a spinning top needs to be invariant under any rotation? Or does less symmetric top works? (say invariant under 90 degree rotations - with a square cross section). This looks promissing, I'm trying to understand it: en.wikipedia.org/wiki/Rattleback
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asked A simple example of symmetry setting the properties of a Physical System