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Hinton - The Fourth Dimension.pdf

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162<br />

THE FOURTH DIMENSION<br />

colours white, yellow, red, blue, to denote transferences in<br />

each of the four directions—right, away, up, unknown or<br />

fourth dimension.<br />

Hence, as the plane being must represent the solid regions,<br />

he would come to by going right, as four squares lying<br />

in some position in<br />

his plane, arbitrarily<br />

chosen, side by side<br />

with his original four<br />

squares, so we must<br />

represent those eight<br />

x<br />

four-dimensional regions,<br />

which we<br />

should come to by<br />

Fig. 99.<br />

A plane being’s representation of a block<br />

of eight cubes by two sets of four squares.<br />

going in the fourth<br />

dimension from<br />

each of our eight<br />

cubes, by eight cubes placed in some arbitrary position<br />

relative to our first eight cubes.<br />

x<br />

(1)<br />

Orange hidden<br />

Fig. 100.<br />

Purple<br />

Blue<br />

Green<br />

Light<br />

purple<br />

Light<br />

blue<br />

Light<br />

green<br />

(2)<br />

Brown hidden<br />

Light<br />

brown<br />

Our representation of a block of sixteen tesseracts by<br />

two blocks of eight cubes. *<br />

Hence, of the two sets of eight cubes, each one will serve<br />

* <strong>The</strong> eight cubes used here in 2 can be found in the second of the<br />

model blocks. <strong>The</strong>y can be taken out and used.

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