Hinton - The Fourth Dimension.pdf

142
THE FOURTH DIMENSION
thus formed would have red, white, and yellow lines
surrounding pink, orange, and light yellow faces. The
ochre cubes increase in three ways, and hence ultimately
the whole interior of the cube would be coloured
ochre.
We have thus a nomenclature for the points, lines,
faces, and solid content of a cube, and it can be named
as exhibited in fig. 85.
We can consider the cube to be produced in the
Null following way. A null point
moves in a direction, to which
Null Light yellow Null we attach the colour indication
yellow; it generates a yellow line
and ends in a null point. The
yellow line thus generated moves
Null
Null in a direction to which we give
x
the colour indication red. This
Null lies up in the figure. The yellow
Fig. 85.
line traces out a yellow, red, or
orange square, and each of its null points trace out a
red line, and ends in a null point.
This orange square moves in a direction to which
we attribute the colour indication white, in this case
the direction is the right. The square traces out a
cube coloured orange, red, or ochre, the red lines trace
out red to white or pink squares, and the yellow
lines trace out light yellow squares, each line ending
in a line of its own colour. While the points each
trace out a null + white, or while line to end in a null
point.
Now returning to the first block of eight cubes we can
name each point, line, and square in them by reference to
the colour scheme, which they determine by their relation
to each other.
Thus, in fig. 86, the null cube touches the red cube by
Red
White
Yellow
Orange
Yellow
Red
Yellow
White
Pink
White
Red