Eh, game kind of sucks compared to the trilogy before it.
Nice graph :) I didn't do the math before, but since catching or evolving costs around 17 seconds each and stuff like wrong warps cost around 12 seconds, there's definitely a theoretical minimum in terms of total time to catch all 151, especially since all of that is not including travel time, and not considering the extra amount of time spent for setting up glitches for otherwise unobtainable Pokémon. I assume the most time can be saved by managing to break the game faster than in 43min, the actual catching simply can't be sped up indefinitely.
“Note that not only the number of caught and seen Pokémon is 151, the game time ends up being 1:51 as well, which was of course totally planned and not just pure coincidence.” what does that mean? did you slow down on purpose?
It was new and surprising information for me that the set of algebraic numbers is countable. However, thinking about it, it actually makes sense. Each algebraic number can be represented with a finite polynomial. This fact, all by itself, pretty much makes them countable by definition. You learn new things every day...
It would be fairly redundant to have two runs showcase the same glitch and be of a similar (probably off by a second/two at best) length. Regardless I don't really know why it wouldn't work as R/G/B/Y use very similar engines and it works for R/B/Y. It's possible in R/B but it isn't used so that other glitches for ACE/methods to beat the game may be showcased.
Is the set of all possible infinite bit strings larger than ℝ? (Since an infinite amount of numbers can be represented in two ways as a bit string, is there a bijection between the two sets?)
I think spots games that the only purpose of it is to play sports( example: NFL 20XX) can be removed from the list.
It's really hard to make a good playaround that keeps the viewers entertained/interested all the way until the end. Even if a game allows many things to do, it can only work for so long before it gets dull.