I think the fact is it would be impossible to make a 4D game. Incoming essay.
Right, the 4th Dimension - assuming it's a direction, which it should technically be, because 'dimension' suggests that you can move in that way. But we can't, because we're 3D ourselves. Our brain can only see three dimensions, and comprehend three dimensions, so therefore no matter how much we discuss it, we'll never be able to have an idea what it is unless the human brain evolves to cope with another dimension. If two dimensional people existed, they wouldn't be able to see us, but we would be able to see them, in the same way we can see other two dimension objects.
Due to their lack of depth, however, we wouldn't be able to touch them. We could also see something in the first dimension, but again, we wouldn't be able to touch it. This opens up the option that four dimensional people would exist and be able to see us, yet not touch us in a similar manner. They must also be able to move in a different direction to us (which is impossible to imagine to us).
Also, if they can't touch us, they cannot touch our world, which is also in the third dimension, so if their are four dimensional people (which, to be honest, there probably are somewhere
) they must live on a four dimensional world.
And so... a 4D game is impossible to create with the human race. Also, according to my personal logic-based theory, because we cannot percieve the fourth dimension at all, it's likely not to worth guessing at what direction the forth dimension is. Also, Adder, could you C + P or link some info where Einstein worked out 10 or 26 dimensions? Sounds interesting! 
There's my waffle.