The fourth dimension

130 THE FOURTH DIMENSION

cube, is written its name. It will be noticed that the figures are symmetrical right and left; and right and left the first two numbers are simply interchanged.

Now this being our selection of points, what figure do they make when all are put together in their proper relative positions ?

To determine this we must find the distance between corresponding corners of the separate hexagons,

Fig. 73.

To do this let us keep the axes 7, j, in our space, and draw fA instead of &, letting & run out in the fourth dimension, fig. 73.

Here we have four cubes again, in the first of which all the points are 0é points; that is, points at a distance zero in the & direction from the space of the three dimensions ijh. We have all the points selected before, and some of the distances, which in the last diagram led from figure to figure are shown here in the same figure, and so capable