I thought of a similar thing for an mp3; a computer would produce every possible "song"..but even at an incredibly low resolution of 100 kilobytes for a 3 minute song, you're looking at 2^800,000 possibilities. (1e240000).
Another cool one is possible games of Go, ~1e768. This is one reason top computers still can't touch top humans at winning the game.
I don't think the number of possible games has anything to do with the difficulty of programming computers to play Go. There are 10^120 possible games of chess, for instance - still 40 orders of magnitude larger than the number of protons in the observable universe - and yet computers roundly defeat humans at chess these days.
I thought of a similar thing for an mp3; a computer would produce every possible "song"..but even at an incredibly low resolution of 100 kilobytes for a 3 minute song, you're looking at 2^800,000 possibilities. (1e240000).
Another cool one is possible games of Go, ~1e768. This is one reason top computers still can't touch top humans at winning the game.
Big numbers are fun. :-]