Well, the title isn't what I actually wanted to ask. However, I believe that sphere is the only absolute symmetry shape in infinite axis which passes through its center.
What I want to know is, say we have a absolute sphere ball which is consist of an fully filled with air which the ball cannot expand anymore, as further pumping air will cause the ball explode.
As a few air inside is leaked, the ball will not shrink since its membrane is inelastic, but causing the ball become a different shape and will not became symmetry anymore.
Is this statement is true? Will an absolute symmetry inelastic ball will no more become absolute symmetry again after a little air is leaked? (The ball might be in symmetry in a few axis but still not a absolute symmetric way.)
I am thinking of this question relating to the broken symmetry in particle physics. I am thinking of this "air leaking phenomena" which might related to symmetry breaking.