> 4D Maze Game

  The Idea
  In the Maze
> Notes

> The Fourth Dimension
  Can You See It?
  The Tesseract
  The Tesseract, Part Two
  The Hexadecachoron
  How Much Space Is There?
  How to Point
  How to Orient Yourself
  Walls Are Opaque
  Some Mathematics

The Fourth Dimension

In case I've given anyone the wrong idea, here I'd like to point out that there is no fourth dimension as such. The maze world has four dimensions, but there's no one dimension that's different than the others—the world isn't just a three-dimensional world with an extra dimension tacked on.

In fact, if the world weren't so geometrical, there wouldn't even be a preferred set of orthogonal directions!

Don't be fooled by the fact that in the guided tour, when I compared the three- and four-dimensional worlds, it was always the in and out directions that didn't match up. The directions are all interchangeable. If you turn inward, for example, what was inward becomes forward, and what was forward becomes outward.