2048 in 4D

http://huonw.github.io/2048-4D

by dbaupp • 12 years ago

274 113 12 years ago

huonw.github.io

vittore• 12 years ago

Now this is actually interesting!

LukeWalsh• 12 years ago

Of all the spin offs that have been posted here this one is my favorite. Very little of the original strategy carries over, it's almost an entirely new puzzle.

Very creative, well done!

doorhammer• 12 years ago

"Hoo dee doo"

"4D 2048? Well, I beat regular 2048 and I'm only like 97% totally addicted to that. I'll try 4D out for a few minutes"

hours pass

twitch... twitch

adamwong246• 12 years ago

I expect to see 2048 in 5 dimensions tomorrow.

deletes4• 12 years ago

So 2048 in 2048 dimensions after that?

nealabq• 12 years ago

Or 2048 in one dimension.

vesinisa2• 12 years ago

Unfortunately, even assuming a board diameter of 2, storing that game's any state would require some 10^435 times more bits than there are cube Planck lengths in the observable universe.

michaelochurch• 12 years ago

2048 in l^2 Hilbert space.

Still countable. [/troll]

dbaupp11• 12 years ago

As you get into higher dimensions, you get exponentially more space, which makes getting to 2048 easier and easier (3x3x3 3D suffers from this, somewhat). So 5D would probably need to bump the winning score up to 4096 or even higher, but then the game start taking far too long.

tobeportable2• 12 years ago

this 4d is actually harder since each dimension is 2x2. 7052 :/ still haven't beaten it..

cesarkawakami• 12 years ago

http://cesarkawakami.github.io/2048-5D/

dbaupp11• 12 years ago

Seems easier than 4D: I played on a 16-square single board as if it were 4D, and the "pulled down" numbers from the other (essentially random) board if they lined up nicely, or if I needed new numbers.

cclogg• 12 years ago

Can someone make an MMO 2048 that flies a flappy bird every time you combine two numbers!?

Crito• 12 years ago

Have it jump the bird every time two numbers are combined. The strength of the jump is determined by the magnitude of the resulting number.

Addendum: the shear force of combining two 1024's into a 2048 would send the bird straight into orbit, at which point the game would transition into Flappy Space Program (http://corpsmoderne.itch.io/flappy-space-program)

Wohui• 12 years ago

And to win you need 5 birds in orbit.

chillingeffect• 12 years ago

Make it 3-d print bitcoins from Raspberry Pi and I'm there :)

pokpokpok• 12 years ago

built with node.js

baddox3• 12 years ago

Reminds me of the old breakout games that also required you to balance the paddle while moving back and forth. I can't find any of the ones I remember, but this one is similar: http://www.retrosabotage.com/breakout/balance.html

baddox3• 12 years ago

It would be neat to create two games that appear to be different, but designed in such a way that the winning user input is the same for both games. A simple and obvious example would be an infinite runner game where the winning input is a certain rhythm of spacebar presses, and a musical rhythm game that requires the same rhythm of spacebar presses. But I'm sure it could be done with much more complex games.

impendia• 12 years ago

Start with the numbers 1, 2, 3, 4, 5, 6, 7, 8, and 9. You and an opponent taking turns picking numbers, each time a number that has not been picked before. The winner is the first person to have picked three numbers that sum to exactly 15.

Try it out with a friend. You will gradually realize that it it seems surprisingly familiar...

nthitz• 12 years ago

Here's a tool assisted speedrun of a gamer playing Mega Man 3, 4, 5 & 6 all with the same button inputs. http://www.youtube.com/watch?v=z5pz6waED0w It's kind of chaotic, and not quite what you described, but similar and still pretty impressive.

ctdonath5• 12 years ago

Tangent: I briefly worked in the "gaming" (gambling) industry. To cope with the proliferation of laws, the backing algorithms could be changed to match whatever games of chance which were legal in a given jurisdiction, then topologically transformed to look like the desired game. What looked like video poker might actually be bingo, hence legal in a "only bingo is legal" locale.

(ETA: Sorry, no how-to details. I didn't work on that part of the code.)

anon4• 12 years ago

The only game that comes close to that, that I'm familiar with is Henry Hatsworth in the Puzzling Adventure for Nintendo DS. It combines a platformer with a bejeweled-style puzzle on the bottom screen, where the tiles that spawn are tied to what enemies you kill and how much damage you take, and you need to play both games to damage enemies, get bonuses and summon the giant victorian steam/tea-powered robot. Thankfully the top game is paused while you swap tiles on the bottom.

It's awesome, highly recommend.

lloeki• 12 years ago

A simple and obvious example would be an infinite runner game where the winning input is a certain rhythm of spacebar presses, and a musical rhythm game that requires the same rhythm of spacebar presses.

Sounds like BIT.TRIP Runner.

userbinator• 12 years ago

I'm glad I wasn't the only one to think of that...

https://news.ycombinator.com/item?id=7407510

Alternatively, to move a given tile you have to flap a bird through a number of pipes equal to its value (or maybe a little more sanely, its logarithm.)

deletes4• 12 years ago

edit: Looks ok, I'm confused :)

It is interesting. The best way to solve it is to forget about dimensions and just learn the rules of what key does what in terms of piece movement.

dbaupp11• 12 years ago

You can move "up" and "down" along all 4 orthogonal dimensions; what's missing?

Pyrodogg• 12 years ago

In the original 2048 I only used the arrow keys.

In the 3D version I noticed it worked with WASD(QE). The arrow keys still mapped to WASD.

This version separates WASD from the arrow keys, they now control completely different movement dimensions.

I had to read the instructions a few times before it clicked that I had two use WASD and the arrows for two different tasks.

tiger10guy5• 12 years ago

You can forget about dimensions... yet it's still in 4 dimensions. That's what's so cool about it!

tiger10guy5• 12 years ago

Thanks!

(in response to https://news.ycombinator.com/item?id=7417294)

dbaupp11• 12 years ago

(I'd actually made it before that, but you prompted me to post it here. :) )

tiger10guy5• 12 years ago

It seemed like too short a time. I figured someone had thought of it first, but I still couldn't help saying something. Nice work!

ShaneOG• 12 years ago

These games are really not good for my productivity!

Ambrosia• 12 years ago

i hate this game now

brugidou• 12 years ago

how do you play with a phone? i can only swipe tiles but I cant change dimension. there need to be some sort of "two finger swipe" for WASD keys.

dbaupp11• 12 years ago

I couldn't work out how to implement the extra 2 movement dimensions on a phone. Does JS support detecting 2 finger swipes (or something similar) in a sane way?

iLoch2• 12 years ago

You could separate the screen. Top half/bottom half.

matthewmacleod• 12 years ago

You can certainly grab the number of touches in an event - two-finger swipe might be interesting. MDN has quite a few examples: https://developer.mozilla.org/en-US/docs/Web/Guide/Events/To...

truebosko• 12 years ago

You may want to check out Hammer.js (http://eightmedia.github.io/hammer.js/)

nighthawk24• 12 years ago

224!

antr• 12 years ago

Rumour is King is working on "Flappy 2048" - in-app purchases available in case you run out of taps or swipes

rplnt• 12 years ago

Final release name would be Binary Saga. You can pay for spawning specified numbers with 100% probability. You just don't know where they will spawn.

joelrunyon• 12 years ago

Isn't time technically 4D?

So you would have to match up this puzzle with one being worked on by someone yesterday.

dkersten• 12 years ago

Isn't time technically 4D?

Anything can technically be the fourth dimension. The thing about dimensions is that they are open to be defined as needed. You can have four spatial dimensions, you can have ten spatial dimensions. You can have ten spatial dimensions and time being an 11th dimension. Its all up to whoever is defining the model being, well, modeled.

maaaats• 12 years ago

No, one is often saying the world i 3D and time makes it 4D. But there is nothing stopping you from having something in 4D where time isn't the fourth dimension.

satchipear• 12 years ago

That's how Einstein defined our world. Actually it's common to see 4 (and more) spatial dimensions in some science fiction novels, including the very famous one called "Three Body Trilogy"("San Ti" in Chinese).

tiger10guy5• 12 years ago

It's so hard to get intuitions about higher dimensions and this seems to do an incredible job. The game is simple enough and the cardinality of the dimensions low enough (2x2x2x2) that I can actually play it smoothly (having played the original and with a bit of practice at the 4D version).

Does that mean I've formed 4D intuition? I think this just happens to be in a class of 4D mechanics that's isomorphic to 2D variants, so the answer would be no. If so, how many such 2D variants are there?

For those interested, 4d rubick's cube:

http://www.superliminal.com/cube/cube.htm

MPSimmons• 12 years ago

Does that mean I've formed 4D intuition? I think this just happens to be in a class of 4D mechanics that's isomorphic to 2D variants, so the answer would be no.

Yeah, when I first went to the page, I expected the numbers to start changing on their own, but I do like this version very much.

sp3322• 12 years ago

Any discrete set of points can be losslessly represented in any positive number of dimensions. The 4d version has 16 spaces, so you could just have them all in a line for a 1d representation of the same game. There are lots of ways to lay them out in 2d, or 3d, or 4d as well. So I would say that you certainly have developed an intuition for four dimensions! You're not cheating or anything just by rearranging the points into 2d.

(Continuous shapes, like solid hypercubes, are tricker ;)

tiger10guy5• 12 years ago

That makes sense.

I think my intuitions for the discrete and continuous are similar for 2D and 3D. Are they fundamentally similar? How do they differ, even if only a little? It seems that discrete 4D intuition should somehow help with continuous 4D intuition.

joeblau2• 12 years ago

Is this winnable?

dbaupp11• 12 years ago

Yes; I've won, and I know (at least) one other person to have done so.

http://i.imgur.com/tBqcjSK.png

tbenst• 12 years ago

Would you mind trying to explain your strategy? I have little intuition for this one :p

deletes4• 12 years ago

You didn't do a lot of mashing keys right. This version really takes some thought.

joeblau2• 12 years ago

Holy crap, congrats. I still haven't even beat the first game.

primitivesuave• 12 years ago

Nothing can kill my productivity like the original could.

jxf• 12 years ago

I noticed I'm doing a lot better on this version than 2D 2048, presumably because each tile has more degrees of freedom (2 in the WASD plane, 2 in the arrow-keys plane).

mturmon• 12 years ago

I think you've put your finger on an interesting point, but it's not so easy. Since every tile in the 2x2x2x2 cube is effectively in a corner, it has only 4 valid neighbors. This is the same number of valid neighbors as the 4 interior tiles of the 4x4 game. The other tiles have 3 and 2 valid neighbors.

There's another thing. It can take more moves to put a tile next to another tile in the 2x2x2x2 game because of these degrees of freedom.

It's not clear to me how this shakes out with gameplay, and I've already wasted enough time on the 4x4 game that I'm scared to try the 4D game to find out!

vorg2• 12 years ago

every tile in the 2x2x2x2 cube is effectively in a corner

Time for the 3x3x3x3 game. The board would look like a Sudoku grid.

eam• 12 years ago

I now want to see 2048 in 2048D.

Gepser• 12 years ago

836

ctdonath5• 12 years ago

7088

theon144• 12 years ago

2048

freefrancisco• 12 years ago

This is madness! The decay of western civilization is nigh! All we need is the string theory 11-dimensional version of the game to show up and doom us all!

squintychino• 12 years ago

2048 - the new flappy bird

clienthunter• 12 years ago

I use the workman keyboard layout. This was a complete mindfuck until I realised what was happening.

elwell2• 12 years ago

It's not really in 4D. More like: 4 games at once.

bcherry• 12 years ago

not true, since WASD move tiles in the 3rd/4th dimensions (try it out)

elwell2• 12 years ago

Ah, thanks. Hmm... this requires a lot more thought than the original.

Lerc• 12 years ago

Much more playable than I expected.

Now someone do one based on taste and smell.

ctdonath5• 12 years ago

Any synesthesiatics care to chime in here?

walrus• 12 years ago

There's a subreddit for these: http://www.reddit.com/r/2048/

jader201• 12 years ago

Lol. 9007199254740992.

http://www.csie.ntu.edu.tw/~b01902112/9007199254740992/

jasonpeacock• 12 years ago

this reminds me of tic tac toe ten, where the game is a meta game of itself:

http://mathwithbaddrawings.com/2013/06/16/ultimate-tic-tac-t...

lightblade• 12 years ago

Now, the next challenge is to build a 2048 4D solver.

whitehat2k9• 12 years ago

AHHHHH MY BRAIN IS FULL OF FOUR DIMENSIONAL CLUSTERFUCK

tobeportable2• 12 years ago

Why would one choose wasd over ijkl if foreign keyboard layouts aren't going to be supported.

faramarz• 12 years ago

I can't get passed 260. It's driving me insane!

Any strategies you guys want to share?

edit: wow! Ive only been using half of the keys! 836 booya!

sreyaNotfilc2• 12 years ago

Just got 2340!

For me, its all about looking at all three panels and making moves in the other ones that will not affect the two.

That is, if I have a choice to move up or down an the other 2 panels can only move down, I would choose up. Then I can score another 4, 8, 16 or so points without changing much of the board.

vorg2• 12 years ago

I find using both hands on the keyboard irritating.

If it was possible to double-hit the up/down/left/right arrows (i.e. twice in succession quickly) to move between dimensions, then I could use it with one hand.

the_cat_kittles• 12 years ago

waiting on N-d

kremlin• 12 years ago

Has it occurred to anybody else that this is the perfect way to explain how to visualize > 3 dimensions? Using the same method for going from 3 to 4 in this game, you can go from 4 to 5, 5 to 6, etc.

Potentially transformable into a really cool learning tool

blueskin_• 12 years ago

This one seems a lot harder than the original.

I like it.

snake_plissken• 12 years ago

How is this 4 dimensions? It just seems like 4 subdivisions that cuts down the number of inside tile corners.

2048 in 4D

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