Most Helpful Guy
Unless you've made a baby together I see no point in it.2
Most Helpful Girl
Unless we were close friends before trying the dating experiment, even if the split was amicable I would not go out of my way to maintain a friendship with them. However, if we had been close friends before dating, I would probably want to try to get that back.
If, during our time together, our social circles melded to the degree where we are both quite close with one anothers' friends, I would want to have an amicable relationship with one another after breaking up so that when we end up at the same get togethers it's not awkward and tense for everyone, but I wouldn't want to try to maintain a friendship separate from the social network, like hanging out one on one and texting/calling each other regularly. I don't see the point in that.
I also do not see the point in hating one another, though.2