As the tesseract in its present position passes across our space, we
should see first of all the first of the blocks of cubic faces we have
put up—these would last for a minute, then would come the second block
and then the third. At first we should have a cube of tesseract faces,
each of which would be brown. Directly the movement began, we should
have tesseract sections transverse to the white line.
There are two more analogous positions in which the block of tesseracts
can be placed. To find the third position, restore the blocks to the
normal arrangement.
Let us make the yellow axis go out into the positive unknown, and let
the blue axis, consequently, come in running towards us. The yellow ran
away, so the blue will come in running towards us.
Put catalogue cube 1 in its normal position. Take catalogue cube 7
and place it so that its pink face coincides with the pink face of
cube 1, making also its red axis coincide with the red axis of 1 and
its white with the white. Moreover, make cube 7 come towards us from
cube 1. Looking at it we see in our space, red, white, and blue axes.
The yellow runs out. Place catalogue cube 8 in the neighbourhood
of 7—observe that every region in 8 has a change in the direction
of yellow from the corresponding region in 7. This is because it
represents what you come to now in going in the unknown, when the
yellow axis runs out of our space. Finally catalogue cube 9, which is
like number 7, shows the colours of the third set of tesseracts. Now
evidently, starting from the normal position, to make up our three
blocks of tesseract faces we have to take the near wall from the first
block, the near wall from the second, and then the near wall from the
third block. This gives us the cubic block formed by the faces of the
twenty-seven tesseracts which are now immediately touching our space.
Following the colour scheme of catalogue cube 8, we make the next set
of twenty-seven tesseract faces, representing the tesseracts, each of
which begins one inch off from our space, by putting the second walls
of our previous arrangement together, and the representation of the
third set of tesseracts is the cubic block formed of the remaining
three walls.
Since we have red, white, blue axes in our space to begin with, the
cubes we see at first are light purple tesseract faces, and after the
transverse motion begins we have cubic sections transverse to the
yellow line.
Restore the blocks to the normal position, there remains the case in
which the red axis turns out of space. In this case the blue axis will
come in downwards, opposite to the sense in which the red axis ran.
In this case take catalogue cubes 10, 11, 12. Lift up catalogue cube 1
and put 10 underneath it, imagining that it goes down from the previous
position of 1.
We have to keep in space the white and the yellow axes, and let the red
go out, the blue come in.
Public-domain text, read in full here on John Shaqi.
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