"Pure" parkour is running, climbing, crawling and jumping to reach a goal, or elude capture.
David Belle added flips because he liked to do them, even tho they weren't "parkour".
Yamakasi called it "art du deplacement". Seb Foucan called it "free running".
Other people added more gymnastics, martial arts and tricking.
So I'll say pk and fr are now "Dancing with obstacles"
