Why are you so disappointed?
Why are you so disappointed?
I get that Sagan was trying to get the "numinous", but the tiniest bit of mathematical knowledge makes pi mundane, not mystical. If you want to make me mystical with mathematics, oh boy, talk to me about the Gauss Bonnet theorem, the classification of finite simple groups, or the moonshine conjecture. But pi is pedestrian.
Conversely, we also know that even with the amount of pi we have, we can already come up with any kind of pattern you could want to, by changing the base, by arranging the numbers in a different order, or by picking particular colours or whatever. In a sense, this is an application of Ramsey's theorem. We can find patterns in pi for the same reason that we can see patterns in clouds, or the Bible, or in constellations.
I still think it's cheap potheaded thinking that dilutes the whole "mystery" and "numinous" edge he was going for.