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Hinton - The Fourth Dimension.pdf

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NOMENCLATURE AND ANALOGIES 141<br />

layers on the right. Here, as in the case of the plane,<br />

the initial colours repeat themselves at the end of the<br />

series.<br />

Proceeding now to increase the number of the cubes,<br />

x<br />

5<br />

n.<br />

4<br />

r.<br />

3<br />

r.<br />

2<br />

r.<br />

1<br />

n.<br />

y.<br />

or.<br />

or.<br />

or.<br />

y.<br />

y.<br />

or.<br />

or.<br />

or.<br />

y.<br />

y.<br />

wh.<br />

r.<br />

or.<br />

p.<br />

r.<br />

or.<br />

p.<br />

r.<br />

or.<br />

y.<br />

p.<br />

n.<br />

wh.<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

n.<br />

l.y.<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

l.y.<br />

l.y.<br />

wh.<br />

wh.<br />

oc.<br />

p.<br />

p.<br />

oc.<br />

p.<br />

p.<br />

oc.<br />

p.<br />

p.<br />

l.y.<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

wh.<br />

l.y.<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

l.y.<br />

l.y.<br />

wh.<br />

wh.<br />

oc.<br />

p.<br />

p.<br />

oc.<br />

p.<br />

p.<br />

oc.<br />

p.<br />

p.<br />

l.y.<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

wh.<br />

l.y.<br />

wh. wh.<br />

Fig. 84..<br />

l.y.<br />

oc.<br />

oc.<br />

oc.<br />

l.y.<br />

l.y.<br />

oc.<br />

wh.<br />

n.<br />

p.<br />

r.<br />

oc.<br />

p.<br />

r.<br />

oc.<br />

p.<br />

r.<br />

l.y.<br />

wh.<br />

n.<br />

y.<br />

or.<br />

or.<br />

or.<br />

y.<br />

y.<br />

or.<br />

or.<br />

or.<br />

y.<br />

we obtain fig. 84, in<br />

which the initial<br />

letters of the colours<br />

are given instead of<br />

their full names.<br />

Here we see that<br />

there are four null<br />

cubes as before, but<br />

the series which spring<br />

from the initial corner<br />

will tend to become<br />

lines of cubes, as also<br />

the sets of cubes<br />

parallel to them, starting<br />

from other corners.<br />

Thus, from the initial<br />

null springs a line of<br />

red cubes, a line of<br />

white cubes, and a line<br />

of yellow cubes.<br />

If the number of<br />

the cubes is largely increased,<br />

and the size<br />

of the whole cube is<br />

diminished, we get<br />

a cube with null<br />

points, and the edges<br />

coloured with these three colours.<br />

<strong>The</strong> light yellow cubes increase in two ways, forming<br />

ultimately a sheet of cubes, and the same is true of the<br />

orange and pink sets. Hence, ultimately the cube<br />

y.<br />

r.<br />

or.<br />

r.<br />

or.<br />

r.<br />

or.<br />

y.<br />

n.<br />

n.

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