As a programmer, maths researcher, and painter, there’s certainly something satisfying (to me) when an artistically symmetrical piece observes no mathematical symmetry: The very asymmetry in the language used to describe it is, in and of itself, beautiful.
Not sure what you mean by "an artistically symmetrical piece observes no mathematical symmetry" - as in, the underlying structure has a (set of) symmetries but the 'decoration' on top is asymmetric?
