2048 game

Quote: RS

http://2048game.com/

The game consists of tiles on a 4x4 grid. You start off with two tiles in a random location. Each tile has a number. They're either '2' or '4'. You make a turn by either doing up/down/left/right arrow, which pushes all the tiles as far that way as possible. If doing this causes one tile to bump into another tile, where both tiles are the same number, then they combine into one tile and value doubles. Each time you make a move, a random empty space will become a tile, 90% of the time it's a '2' and 10% of the time it's a '4'. If you run out of empty space after making a move or cannot make a move because it's full, then the game ends and you lose.

The goal is to get one tile to '2048', but you can keep playing and get higher than that, should you succeed. But the game is a lot tougher than it sounds and can get pretty tilting. Without actually playing it, I'd say the best description of it is it's sort of like doing a rubik's cube that's attached to a sliding puzzle.

Quote: beachbumbabs

Quote: RS

http://2048game.com/

The game consists of tiles on a 4x4 grid. You start off with two tiles in a random location. Each tile has a number. They're either '2' or '4'. You make a turn by either doing up/down/left/right arrow, which pushes all the tiles as far that way as possible. If doing this causes one tile to bump into another tile, where both tiles are the same number, then they combine into one tile and value doubles. Each time you make a move, a random empty space will become a tile, 90% of the time it's a '2' and 10% of the time it's a '4'. If you run out of empty space after making a move or cannot make a move because it's full, then the game ends and you lose.

The goal is to get one tile to '2048', but you can keep playing and get higher than that, should you succeed. But the game is a lot tougher than it sounds and can get pretty tilting. Without actually playing it, I'd say the best description of it is it's sort of like doing a rubik's cube that's attached to a sliding puzzle.

I'm almost positive there was an obsessive run at this game a few years ago by Wizard and a few other people on here. Maybe it was over at DT? It was a good thread, with a lot of strategy discussion.

Anybody recall?

Quote: beachbumbabs

I'm almost positive there was an obsessive run at this game a few years ago by Wizard and a few other people on here. Maybe it was over at DT? It was a good thread, with a lot of strategy discussion.

Quote: gamerfreak

I got to 5012

The trick is keeping the highest tile in one corner

Quote: RS

5012? Or 512?

I understand the whole keep it in the corner thing which I’ve been doing, but once you get hornswoggled with a random tile in the one bad location, I get all turnt around and it goes all haywire. Usually that’s around once I get a 1024 tile, and I end up getting the 512’s on opposite ends from each other and I’m frantically trying to stay alive because grid is full. :(

Quote: gamerfreak

If you enjoy 2048, you will enjoy a game called triple town.

Very similar concept but with a lot more depth.

Quote: RS

I’ve gotten to 2048 several times now. Twice I had all the right tiles, just was unable to connect them, to make a 4096 tile. One of those I had a 2048 sandwiched between two 1024’s. Boooo

Not saying it should be at 2048 or 4096 necessarily, but I think at some point it shouldn’t do random 2’s and 4’s, but start doing random 4’s and 8’s.

Quote: gamerfreak

I wonder what the maximum possible score is in 2048?

I think that would be a very hard problem to solve.

Quote: ThatDonGuy

The highest possible tile is 131,072 - you can't get any higher because you need another 131,072 to combine it to in order to get 262,144.
To get a second 131,072, you need two 65,536s.
To get a second 65,536, you need two 32,768s.
To get a second 32,768, you need two 16,384s, and so on.
You get:
[131,072] [65,536] [32,768] [16,384] [8192] [4096] [2048] [1024] [512] [256] [128] [64] [32] [16] [8]
The problem is, that's 15 of the 16 squares, and you need a second 8 to make the second 16 you need to make the second 32 you need to..., but the game doesn't generate 8s - only 2s and 4s.

Quote: gamerfreak

I wonder what the maximum possible score is in 2048?

I think that would be a very hard problem to solve.

Quote: gamerfreak

I wonder what the maximum possible score is in 2048?

I think that would be a very hard problem to solve.

Quote: gordonm888

Dang, guy, this is only a 2 page thread and if you had read the 1st page you would have seen this:

Quote: ThatDonGuy

The highest possible tile is 131,072 - you can't get any higher because you need another 131,072 to combine it to in order to get 262,144.
To get a second 131,072, you need two 65,536s.
To get a second 65,536, you need two 32,768s.
To get a second 32,768, you need two 16,384s, and so on.
You get:
[131,072] [65,536] [32,768] [16,384] [8192] [4096] [2048] [1024] [512] [256] [128] [64] [32] [16] [8]
The problem is, that's 15 of the 16 squares, and you need a second 8 to make the second 16 you need to make the second 32 you need to..., but the game doesn't generate 8s - only 2s and 4s.

Quote: gamerfreak

Quote: gordonm888

Dang, guy, this is only a 2 page thread and if you had read the 1st page you would have seen this:

Quote: ThatDonGuy

The highest possible tile is 131,072 - you can't get any higher because you need another 131,072 to combine it to in order to get 262,144.
To get a second 131,072, you need two 65,536s.
To get a second 65,536, you need two 32,768s.
To get a second 32,768, you need two 16,384s, and so on.
You get:
[131,072] [65,536] [32,768] [16,384] [8192] [4096] [2048] [1024] [512] [256] [128] [64] [32] [16] [8]
The problem is, that's 15 of the 16 squares, and you need a second 8 to make the second 16 you need to make the second 32 you need to..., but the game doesn't generate 8s - only 2s and 4s.

I realized that was the highest possible tile, but didn’t think it wasn’t possible to get the best theoretical tile layout.

Apparently the probability of it being possible to achieve that is 1 in 10^15 (thanks for the link UnJon)

I guess my question is what is the lowest possible score achievable with completely perfect play (maybe the link answers that, haven’t read it all yet).

Quote: RS

Quote: gamerfreak

Quote: gordonm888

Dang, guy, this is only a 2 page thread and if you had read the 1st page you would have seen this:

Quote: ThatDonGuy

The highest possible tile is 131,072 - you can't get any higher because you need another 131,072 to combine it to in order to get 262,144.
To get a second 131,072, you need two 65,536s.
To get a second 65,536, you need two 32,768s.
To get a second 32,768, you need two 16,384s, and so on.
You get:
[131,072] [65,536] [32,768] [16,384] [8192] [4096] [2048] [1024] [512] [256] [128] [64] [32] [16] [8]
The problem is, that's 15 of the 16 squares, and you need a second 8 to make the second 16 you need to make the second 32 you need to..., but the game doesn't generate 8s - only 2s and 4s.

I realized that was the highest possible tile, but didn’t think it wasn’t possible to get the best theoretical tile layout.

Apparently the probability of it being possible to achieve that is 1 in 10^15 (thanks for the link UnJon)

I guess my question is what is the lowest possible score achievable with completely perfect play (maybe the link answers that, haven’t read it all yet).

That’s like an impossible question to answer probably, since perfect or optimal strategy would be incredibly difficult to figure out. And on top of that, you’d also have to figure out the worst possible random tile placements to get to the lowest possible score.