But, without introducing such a complexity, the principles of a space language can be exhibited, and a nomenclature obtained adequate to all the considerations of the preceding pages.
1. Extension.
Fig. 2.
Call the large squares in [2] by the name written in them. It is evident that each can be divided as shown in [fig. 1]. Then the small square marked 1 will be “en” in “En,” or “Enen.” The square marked 2 will be “et” in “En” or “Enet,” while the square marked 4 will be “en” in “Et” or “Eten.” Thus the square 5 will be called “Ilil.”
This principle of extension can be applied in any number of dimensions.
2. Application to Three-Dimensional Space.
To name a three-dimensional collocation of cubes take the upward direction first, secondly the direction towards the observer, thirdly the direction to his right hand.
These form a word in which the first letter gives the place of the cube upwards, the second letter its place towards the observer, the third letter its place to the right.