We relate to Leonardo da Vinci because his genius was just being passionately curious about everything. He wanted to know everything he could know about our universe, including how we fit into it. We can't all have a superhuman intellect like Albert Einstein's, but we can be super-curious. And we can also quit smashing curiosity out of the hands our children.
Leonardo da Vinci was lucky to be born the same year that Johannes Gutenberg opened his printing shop. As a young person, he could get information about whatever struck his curiosity. The Internet is to our age what Gutenberg's press was to his, so he would have loved being alive today.