http://www.crazygames.com/game/2584-fibonacci

Had to find it after it was mentioned in the video. This is so confusing though. Very easy to accidentally combine the nth number with the (n-1)th instead of the (n+1)th.

Ooh, I kinda like this one, though I'm not totally convinced it's harder, since for any tile there are two possible other types you can combine it with. I wish it let you play on like 2048 does.

(snip image)

I thought it was easier. I tried it once yesterday, I was tired and not really paying a lot of attention to the game and I beat my 2048 high score.

OK, just finished it. I definitely feel that 2048 is easier. 2548 has far more steps so the game is *so* much longer. Also came close to getting filled up with a bunch of tiles that were all the same.

I think in principle Fibonaccis is easier than exponentials. This game here is longer because it starts with 1s and not with 2s as default tile, so you really have to join the 2584 tiles to get to the 2584, while for 2048 you only need 1024 tiles. You have to be a bit more careful, as tiles might more easily join unexpected compared to 2048, but the fact that you can correct errors from both sides, and especially can free trapped spots behind a Fib_n block by only going to Fib_{n-1} helps a lot.

Also note that you need much less space on the board to snake your way up to Fib_n, as Fib_{n-1}, Fib_{n-3}, Fib_{n-5}, ... , Fib_{n-2i}, Fib_{n-2i-1} connect to Fib_n. While this not always works out perfectly, for large n it almost automatically does as you don't build too large blocks by accident. As ((1+sqrt(5))/2)^2 > 2, this would also mean that you need less space to get to higher numbers.

Only thing why this looks harder/longer is that you starts with 2s in 2048 for whatever reason instead of 1s.