This is Durant S.'s comment on these videos:

For Halloween this year, I made a couple of geeky high school math videos about cobweb diagrams and shared them on youtube. It's kind of a spoiler, but video 2 culminates in a visual (geometric) proof that I came up with that 1 = 0.999... (the proof in part 1 came from the internet from a google image search on visual proof. I thought it was pretty cool). It's highly likely that someone's come up with the proof before but if anyone know's of a cobweb diagram proof showing 1 = 0.999... please reply - of course, it's equivalent to the series proof, but this shows it visually with a cobweb diagram ... so I made the video, you know, to help the disbelievers, and I guess to convince myself :)