Maze1125 said:

Rainbow_Dashtruction said:

It is impossible to make a game with more dimensions then exist in our reality. Its just illogical to say that 4D games are possible.

It's entirely possible to simulate 4 spatial dimensions on a computer. We would be unable to produce a screen that can easily display such a game, and our brains have a very hard time understanding them, but that doesn't mean they can't be made.

alj said:

Roxor said:

Some people have written 4D games. I remember a 4D maze game. Takes half an hour to solve a 3*3*3*3 maze. There's also 4D Rubik's Cube puzzles out there, too.

how can a 4D rubik's cube exist in a 3D universe ?

A real 4D Rubik's cube cannot exist in 3 spatial dimensions, but it can be simulated in binary without difficulty. Thus, 4D games are entirely possible to create (and indeed almost trivial, aside from the whole "comprehensible user interface" issue), because video games are simulations rather than real objects (I mean, they

*are* real patterns, but the things they're simulating are not).

One of the mathematical oddities is actually how extremely simple it is. Let's take range. You want to know how far apart two objects in your game world are. Let's see what that looks like in various numbers of spatial dimensions:

1: SQRRT(X*X)

2: SQRRT(X*X + Y*Y)

3: SQRRT(X*X + Y*Y + Z*Z)

4: SQRRT(X*X + Y*Y + Z*Z + A*A)

5: SQRRT(X*X + Y*Y + Z*Z + A*A + B*B)

Etc... One of the reasons why physicists are so quick to reach for the "extra dimensions" toolbox is that there's really very little that's mathematically special about 3 dimensions in particular. The jumps from 2 to 3, from 3 to 4, and from 4 to 5, and so on, are all basically the same.