We have thus the following scheme, which represents the set of cubes of column 1, [fig. 101], page 165.
We begin with the remote lowest cube at the left hand, where the asterisk is placed (this proves to be by far the most convenient origin to take for the normal system).
Thus “nen” is a “null” cube, “ten” a red cube on it, and “len” a “null” cube above “ten.”
By using a more extended sequence of consonants and vowels a larger set of cubes can be named.
To name a four-dimensional block of tesseracts it is simply necessary to prefix an “e,” an “a,” or an “i” to the cube names.
Thus the tesseract blocks schematically represented on page 165, [fig. 101] are named as follows:—
2. Derivation of Point, Line, Face, etc., Names.
The principle of derivation can be shown as follows: Taking the square of squares
