Remember 3D Sudoku - Part I? Now, it has become a 4x4x4 cube made of 64 little cubies. Each of these cubies has a number 1 through 16 in it. No two cubies in a plane have the same number. A plane is a horizontal, vertical(left-right), or vertical(up-down) cross-section of 16 cubies.

You know the numbers in some of the cubies. What are the others?

Grid Diagram

+ - + - + - + - +               3D Diagram
|   | 13| 4 | 2 |
+ - + - + - + - +                + - + - + - + - +
|   |   |   |   |               /   / 13/ 4 / 2 /|
+ - + - + - + - +              + - + - + - + - +2+
|   | 15|   |   |             /   /   /   /   /|/|
+ - + - + - + - +            + - + - + - + - + + +
| 16| 10| 9 |   |           /   / 15/   /   /|/|/|
+ - + - + - + - +          + - + - + - + - + + +8+
                          / 16/ 10/ 9 /   /|/|/|/|
+ - + - + - + - +        + - + - + - + - + + + +5+
|   |   | 15|   |        | 16| 10| 9 |   |/|/|/|/
+ - + - + - + - +        + - + - + - + - +4+1+7+
| 12| 8 | 11|   |        | 13|   |   | 4 |/|/|/
+ - + - + - + - +        + - + - + - + - + +6+
| 5 |   | 14|   |        |   | 11|   |   |/|/
+ - + - + - + - +        + - + - + - + - + +
| 13|   |   | 4 |        | 14|   |   |   |/
+ - + - + - + - +        + - + - + - + - +

+ - + - + - + - +
| 10|   |   | 8 |
+ - + - + - + - +
|   |   | 6 |   |
+ - + - + - + - +
|   | 4 |   | 1 |
+ - + - + - + - +
|   | 11|   |   |
+ - + - + - + - +

+ - + - + - + - +
|   | 16| 3 | 5 |
+ - + - + - + - +
|   |   |   | 7 |
+ - + - + - + - +
| 9 |   |   | 6 |
+ - + - + - + - +
| 14|   |   |   |
+ - + - + - + - +

Note: The 2, 4, 9, 10, 13, 15, and 16 are in the same horizontal plane. (top)
The 1, 2, 4, 5, 6, 7, and 8 are in the same vertical(up-down) plane. (right-most)
The 4, 9, 10, 11, 13, 14, and 16 are in the same vertical(left-right) plane. (front)

Here we go, hope I don't mess this up in the transfer:

+ - + - + - + - +               
| 6 | 13| 4 | 2 |
+ - + - + - + - +               
| 3 | 5 | 1 | 14|               
+ - + - + - + - +       top
| 8 | 15| 7 | 11| 
+ - + - + - + - + 
| 16| 10| 9 | 12| 
+ - + - + - + - + 
                  
+ - + - + - + - + 
| 1 | 7 | 15| 9 | 
+ - + - + - + - + 
| 12| 8 | 11| 16|   
+ - + - + - + - +       2nd
| 5 | 3 | 14| 10|   
+ - + - + - + - +   
| 13| 6 | 2 | 4 |   
+ - + - + - + - +   

+ - + - + - + - +
| 10| 14| 12| 8 |
+ - + - + - + - +
| 15| 9 | 6 | 13|
+ - + - + - + - +       3rd
| 2 | 4 | 16| 1 |
+ - + - + - + - +
| 7 | 11| 5 | 3 |
+ - + - + - + - +

+ - + - + - + - +
| 11| 16| 3 | 5 |
+ - + - + - + - +
| 4 | 2 | 10| 7 |
+ - + - + - + - +       bottom
| 9 | 12| 13| 6 |
+ - + - + - + - +
| 14| 1 | 8 | 15|
+ - + - + - + - +

Posted by tomarken on 2006-03-17 12:56:56