but how do we formally define symetry? is it just in terms of isometry? if you were to place you hand infinite distances away, then your hand gets very tiny and converges to a point in space which is definitely isometric about some point...eventually becoming symetric!
is there a formal definition of symetry? suppose i was to make an assertion that every object in space is symetric at least about one certain axis in space, is this assertion true? why or why not...how would you go about the proof?