Nature also abhors exact repetition.
Nothing is ever the same twice.
Symmetry abounds in nature, but even in symmetry things are not identical. Look at the symmetry of a face, or a leaf. I believe that if architecture reflects this natural order then it will begin to possess the same kind of depth of difference that is in nature. In many ways craft pieces have exhibited this characteristic and accompanying appeal to our senses since humans became makers of artifice. Hand-made items are never identical in the way that machine produced objects are.