Hinton - The Fourth Dimension.pdf

APPENDIX I: THE MODELS 243
orange f., yellow f., and then the first colours over again.
Then the three following columns are, blue f., purple f.,
blue f.; green f., brown f., green f.; blue f., purple f., blue f.
The last three columns are like the first.
These tesseracts touch our space, and none of them are
by any part of them distant more than an inch from it.
What lies beyond them in the unknown?
This can be told be looking at catalogue cube 5.
According to its scheme of colour we see that the second
wall of each of our old arrangements must be taken.
Putting them together we have, as the corner, white f.
above it, pink f. above it, white f. The column next to
this remote from us is as follows:—light yellow f., ochre f.,
light yellow f., and beyond this a column like the first.
Then for the middle of the block, light blue f., above
it light purple, then light blue. The centre column has,
at the bottom, light green f., light brown f. in the centre
and at the top light green f. The last wall is like the
first.
The third block is made by taking the third walls of
our previous arrangement, which we called the normal
one.
You may ask what faces and what sections our cubes
represent. To answer this question look at what axes
you have in our space. You have red, yellow, blue.
Now these determine brown. The colours red,
yellow, blue are supposed by us when mixed to produce
a brown colour. And that cube which is determined
by the red, yellow, blue axes we call the brown cube.
When the tesseract block in its new position begins to
move across our space each tesseract in it gives a section
in our space. This section is transverse to the white
axis, which now runs in the unknown.
As the tesseract in its present position passes across
our space, we should see first of all the first of the block