Hinton - The Fourth Dimension.pdf

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THE FOURTH DIMENSION
across our space we must call our cubes tesseract sections.
Thus on null passing across we should see first null f., then
null s., and then, finally, null f. again.
Imagine now the whole first block of twenty-seven
tesseracts to have moved transverse to our space a distance
of one inch. Then the second set of tesseracts, which
originally were an inch distant from our space, would be
ready to come in.
Their colours are shown in the second block of twentyseven
cubes which you have before you. These represent
the tesseract faces of the set of tesseracts that lay before
an inch away from our space. They are ready now to
come in, and we can observe their colours. In the place
which null f. occupied before we have blue f., in place of
red f. we have purple f., and so on. Each tesseract is
coloured like the one whose place it takes in this motion
with the addition of blue.
Now if the tesseract block goes on moving at the rate
of an inch a minute, this next set of tesseracts will occupy
a minute in passing across. We shall see, to take the null
one for instance, first of all null face, then null section,
then null fact again.
At the end of the second minute the second set of
tesseracts has gone through, and the third set comes in.
This, as you see, is coloured just like the first. Altogether,
these three sets extend three inches in the fourth
dimension, making the tesseract block of equal
magnitude in all dimensions.
We have now before us a complete catalogue of all the
tesseracts in our group. We have seen them all, and we
shall refer to this arrangement of the blocks as the
“normal position.” We have seen as much of each
tesseract at as time as could be done in a three-dimensional
space. Each part of each tesseract has been in
our space, and we could have touched it.