| The | Gold | point | | - | traces a | - | | Stone | line | | - | and ends in a | - | | Silver | point |
| „ | Fawn | „ | Smoke | „ | Turquoise | „ | ||||||||||
| „ | Light-blue | „ | Rich-red | „ | Quaker-green | „ | ||||||||||
| „ | Dull-purple | „ | Green-blue | „ | Peacock-blue | „. |
If we now take Model 3, we see that it has a Black square uppermost, and has Blue and Orange lines. Hence, it evidently proceeds from the Black square in Model 1; and it has in it Blue and Orange lines, which proceed from the Gold point. But besides these, it has running downwards a Stone line. The line wanting is the Brown line, and, as in the other cases, when one of the three lines of Model 1 turns out into the unknown direction, the Stone line turns into the direction opposite to that from which the line has turned. Take this Model 3 and place it underneath Model 1, raising the latter so that the Black squares on the two coincide line for line. Then we see what would come into our view if the Brown line were to turn into the unknown direction, and the Stone line come into our space downwards. Looking at this cube, we see that the following parts of the tessaract have been generated.
The Black square traces a Brick-red cube (invisible because covered by its own sides and edges), and ends in a Bright-green square.
Each Line traces a Square and ends in a Line.
| The | Orange | line | | - | traces an | - | | Azure | square | | - | and ends in a | - | | Leaf-green | line |
| „ | Crimson | „ | Rose | „ | Dull-green | „ | ||||||||||
| „ | Green-grey | „ | Sea-blue | „ | Dark-purple | „ | ||||||||||
| „ | Blue | „ | Light-brown | „ | Purple-brown | „. |
Each Point traces a Line and ends in a Point.
| The | Gold | point | | - | traces a | - | | Stone | line | | - | and ends in a | - | | Silver | point |
| „ | Fawn | „ | Smoke | „ | Turquoise | „ | ||||||||||
| „ | Terra-cotta | „ | Magenta | „ | Earthen | „ | ||||||||||
| „ | Buff | „ | Light-green | „ | Blue-tint | „. |
This completes the enumeration of the regions of Cube 3. It may seem a little unnatural that it should come in downwards; but it must be remembered that the new fourth direction has no more relation to up-and-down than to right-and-left or to near-and-far.
And if, instead of thinking of a plane-being as living on the surface of a table, we suppose his world to be the surface of the sheet of paper touching the Dark-blue square of Cube 1, then we see that a turn round the Orange line, which makes the Brown line go into the plane-being’s unknown direction, brings the Blue line into his downwards direction.
There still remain to be described Models 4, 6, and 8. It will be shown that Model 4 is to Model 3 what Model 2 is to Model 1. That is, if, when 3 is in our space, it be moved so as to trace a tessaract, 4 will be the opposite cube in which the tessaract ends. There is no colour common to 3 and 4. Similarly, 6 is the opposite boundary of the tessaract generated by 5, and 8 of that by 7.