Our brains react to visual stimulus, constantly judging whether  they like a certain painting or not.  One might get attracted to a work of art while the same thing doesn't do anything to others. There is no standard criteria for beauty. Beauty is in the eyes of the beholder.

I think beauty comes from highly ordered thing, in which there is a definite patterns. Beauty means planned design.

I designed this to maximize the unexpectedness of turns in every lines. It is this aspect that gives this work exceptional beauty. 

Click on the image to see bigger version that delivers more visual impact.