I'm a big fan of Bret Victor's thinking, but this part struck me as indicative of the criticisms he'll receive: "here, they are discussing some relationships: the regular latice, L grows linearly with n, we see L growing linearly with n, and we see C is staying constant. In the random network, L grows logarithmically, and we see L growing logarithmically, we see C going as a reciprocal relationship. When we read the…
The point is now someone who isn't the average reader of Nature can understand the concept... Sometimes I feel like nerds kind of enjoy the exclusivity provided by "cryptic" notation. What Bret is doing is not genius level stuff, he's just doing what a lot of people don't have the balls to do. Attempt to make "hard" things easy enough for "regular" people to understand by appealing to the right side of their brain.
But I think Bret's point isn't that every research paper should be as verbose as an introductory textbook, but rather that interactive widgets can express ideas which text and static images in published papers can't.