That's a cool video, I'm subscribing. It's surprising that the embedded sphere has an unbounded radius. He didn't mention in the video that this problem is due to, and is a sort of dual or inverse to the fact that the volume of an N-dimensional sphere goes to zero as N goes to infinity. That hurt my head a little the first time I learned about it!
Only 383k subscribers. Hmm. Remember to subscribe, comment, and smash that like button.
Real Engineering is another great channel. And of course Veritasium and Numberphile.