And I figure that apricots are easier, because the apricot flesh sticks more to itself than to the seed. Plums are harder to segment because they've a huge water content so when you pull it out you get mushy pieces and the membranes stick adhere to the seed better.
But hey I invented something - easy slicing. Nothing gets stuck in your teeth, plus you get nice wedges and a clean seed. No wasting :D
And if it's really fresh, the nectarine can be brought to lunch at some cafeteria where there are plastic knives. Though I personally recommend using re-usable knives [okay, you can reuse plastic knives], because that is less consumption = better for the planet.