1. Model the colors with small integers, storing them in a 3-dimensional array that models the n^3 number of smaller cubes inside of the large cube.

2. Here are the answers to the problem for selected values of n:

Colorable?

  1. Yes
  2. No
  3. No
  4. No
  5. No
  6. No
  7. No
  8. Yes
  9. (You determine!)
  10. (You determine!)
  11. Yes
  12. (You determine!)

 

3. How to solve an 8x8x8 cube.

4. 11-Cubed Case