Hinton - The Fourth Dimension.pdf

NOMENCLATURE AND ANALOGIES 137
to any colour with which it is mixed. If there is no
such real colour let us imagine such a colour, and
assign to it the properties of the number zero, which
makes no difference in any number to which it is
added.
Above this square place a red square. Thus we symbolise
the going up by adding red to null.
Away from this null square place a yellow square, and
represent going away by adding yellow to null.
To complete the figure we need a fourth square.
Colour this orange, which is a mixture of red and
yellow, and so appropriately represents a going in a
direction compounded of up and away. We have thus
a colour scheme which will serve to name the set of
squares drawn. We have two axes of colours—red and
yellow—and they may occupy
as in the figure the
x
Null
Red
Null
Yellow
Orange
Yellow
Fig. 78.
Null
Red
Null
direction up and away, or
they may be turned about;
in any case they enable us
to name the four squares
drawn in their relation to
one another.
Now take, in Fig. 78,
nine squares, and suppose
that at the end of the
going in any direction the
colour started with repeats itself.
We obtain a square named as shown.
Let us now, in fig. 79, suppose the number of squares
to be increased, keeping still to the principle of colouring
already used.
Here the nulls remain four in number. There
are three reds between the first null and the null
above it, three yellows between the first null and the