If we wish to denote the upper yellow line BD, fig. 81, we can speak
of it as the yellow γ line, meaning the yellow line which is separated
from the primary yellow line by the red movement.
In a similar way each of the other squares has null points, red and
yellow lines. Although the yellow square is all yellow, its line CD,
for instance, can be referred to as its red line.
This nomenclature can be extended.
If the eight cubes drawn, in fig. 82, are put close together, as on
the right hand of the diagram, they form a cube, and in them, as thus
arranged, a going up is represented by adding red to the zero, or
null colour, a going away by adding yellow, a going to the right by
adding white. White is used as a colour, as a pigment, which produces
a colour change in the pigments with which it is mixed. From whatever
cube of the lower set we start, a motion up brings us to a cube showing
a change to red, thus light yellow becomes light yellow red, or light
orange, which is called ochre. And going to the right from the null on
the left we have a change involving the introduction of white, while
the yellow change runs from front to back. There are three colour
axes—the red, the white, the yellow—and these run in the position the
cubes occupy in the drawing—up, to the right, away—but they could be
turned about to occupy any positions in space.
[Illustration: Fig. 82.]
[Illustration: Fig. 83. The three layers.]
We can conveniently represent a block of cubes by three sets of
squares, representing each the base of a cube.
Thus the block, fig. 83, can be represented by the layers on the
right. Here, as in the case of the plane, the initial colours repeat
themselves at the end of the series.
Proceeding now to increase the number of the cubes we obtain fig. 84,
in which the initial letters of the colours are given instead of their
full names.
Here we see that there are four null cubes as before, but the series
which spring from the initial corner will tend to become lines of
cubes, as also the sets of cubes parallel to them, starting from other
corners. Thus, from the initial null springs a line of red cubes, a
line of white cubes, and a line of yellow cubes.
If the number of the cubes is largely increased, and the size of the
whole cube is diminished, we get a cube with null points, and the edges
coloured with these three colours.
[Illustration: Fig. 84.]
The light yellow cubes increase in two ways, forming ultimately a sheet
of cubes, and the same is true of the orange and pink sets. Hence,
ultimately the cube 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.
[Illustration: Fig. 85.]
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