Slide 29 of 71
Notes:
Each N-space cube has 2**N points, so each N-space cube point can be uniquely identified by an N-digit binary number. The points in a 2-space cube can be identified by the four two-digit binary numbers (00, 01, 10, 11). The 2**3=8 points in a 3-space cube can be identified by the 8 three digit binary numbers (000, 001, 010, 011, 100, 101, 110, 111).
The 2**4=16 points in a 4-space cube can be identified by 4 digit binary numbers. Etc...