There was a great talk this evening by Marc ten Bosch about his four dimensional computer game Miegakure, which is still at the prototype stage.
In the examples of game play Marc showed, the fourth dimension was very abbreviated — much simpler than the other dimensions in the game. This limited much of the 4D gameplay to elementary (although still fun) scenarios. I strongly suspect that the full game will have a much richer and more extensive fourth dimension than did the prototype we saw this evening.
Still, my student Adam was disappointed at not having seen, in this prototype, a fourth dimension as large and complex as the other three dimensions. Trying to explain to me the sort of rich four dimensional world he’d like to see in a game, Adam said: “I want people living at right angles to me, and we never intersect.”
“That’s easy,” I told him, “just live in Manhattan.”