The fourth dimension

REMARKS ON THE FIGURES 189

cubes, we see that null ochre touches white ochre by an orange face. Now let us generate the null and white tesseracts by a motion in the blue direction of each of these cubes. *Each of them generates the corresponding tesseract, and the plane of contact of the cubes generates the cube by which the tesseracts are in contact. Now an orange plane carried along a blue axis generates a brown cube. Hence null touches white by a brown cube.

If we ask again how red touches light blue tesseract, let us rearrange our group, fig. 112, or rather turn it

Light yellow

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Fig, 112,

about so that we have a different space view of it; let the red axis and the white axis run up and right, and ler the blue axis come in space towards us, then the yellow axis runs in the fourth dimension. - We have then two blocks in which the bounding cubes of the tesseracts are given, differently arranged with regard to us—the arrangement is really the same, but it appears different to us. Starting from the plane of the red and white axes we have the four squares of the null, white, red, pink tesseracts as shown in A, on the red, white plane, unaltered, only from them now comes out towards us the blue axis.