Home> 4D Maze Game Download  The Idea In the Maze > Notes Reference The Fourth Dimension Can You See It? 
The Hexadecachoron  How Much Space Is There? Rotations How to Point How to Orient Yourself Volumes Walls Are Opaque  Some Mathematics Bibliography 
The TesseractThe tesseract is the fourdimensional analogue of the cube. Just as a cube has six faces that are squares, a tesseract has eight faces that are cubes. You can see all eight faces in the following wireframe model. (The large cube is the closest face.)
I like to think of the faces as being organized into pairs. There are back and front faces, …
… left and right faces, …
… top and bottom faces, …
… and inward and outward faces.
Since the faces are opaque, you can't see all eight of them at once, but if you take off the front face, you can see the remaining seven. Tesseracts are important because the entire maze is constructed out of them. We saw one when we looked at the forward passage in the tour, for example. If we really understood the fourdimensional world, we would know that the eight faces all have the same size and shape, and that together they enclose an interior that is not the interior of the large cube.

See AlsoBibliography The Hexadecachoron How Much Space Is There? The Tesseract, Part Two Walls Are Opaque 