I considered expending effort to verify this and the units hobby one. However, I fully trust that Randall does his homework on each and every xkcd. Good netizens like yourself never fail to keep him honest for me. Thanks!
And you can see how quickly it converges. In the actual program it flips back and forth with the real one so you can compare. But that actually makes it harder to see how it progresses.
It doesn't describe the logo, that's just an arbitrary starting point for the iteration. You can begin with anything and after enough iterations it'll look pretty much exactly like the original.
It runs in an animated fashion, so it'd be difficult to upload. Those without pygame can rest knowing that the comic is very close to accurate (assuming the program is accurate).