For comparison, this one has the 'magic numbers'. Notice the beautiful line on the bottom.
From the original text that is around the web, it seems Theo Jansen used some kind of evolutionary algorithm to obtain those numbers. I'm really interested in knowing the actual process, and even though I know next to nothing about those type of algorithms I will be reading about them on vacation. I do know mechanism design through optimization so perhaps I can get to (at least) the same numbers.