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3D Sudoku - Part I (Posted on 2006-03-06) Difficulty: 2 of 5
Imagine a 3x3x3 cube made of 27 little cubies. Imagine each of these cubies has a number 1 through 9 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 9 cubies.

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


Grid diagram

+ - + - + - +            3D diagram
|   | 5 | 1 |
+ - + - + - +              + - + - + - +
|   |   | 6 |             /   / 5 / 1 /|
+ - + - + - +            + - + - + - +1+
| 3 |   |   |           /   /   / 6 /|/|
+ - + - + - +          + - + - + - +6+ +
                      / 3 /   /   /|/|/|
+ - + - + - +        + - + - + - + + + +
|   |   |   |        | 3 |   |   |/|/|/
+ - + - + - +        + - + - + - + + +
|   | 8 |   |        | 2 | 6 |   |/|/
+ - + - + - +        + - + - + - + +
| 2 | 6 |   |        |   |   |   |/
+ - + - + - +        + - + - + - +

+ - + - + - +
|   | 7 |   |
+ - + - + - +
| 9 | 4 |   |
+ - + - + - +
|   |   |   |
+ - + - + - +

Note: The 1, 3, 5, and 6 are in the same horizontal plane. (top)
The 1 and 6 are in the same vertical(up-down) plane. (right-most)
The 2, 3, and 6 are in the same vertical(left-right) plane. (front)

See The Solution Submitted by Dustin    
Rating: 3.0000 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Solution | Comment 1 of 10

I think this works:

+ - + - + - +         
| 8 | 5 | 1 |
+ - + - + - +             
| 7 | 2 | 6 |      top layer      
+ - + - + - +           
| 3 | 9 | 4 |          
+ - + - + - +         
                     
+ - + - + - +       
| 4 | 3 | 9 |       
+ - + - + - +       
| 1 | 8 | 5 |      middle layer  
+ - + - + - +       
| 2 | 6 | 7 |       
+ - + - + - +       


+ - + - + - +
| 2 | 7 | 6 |
+ - + - + - +
| 9 | 4 | 3 | bottom layer
+ - + - + - +
| 5 | 1 | 8 |
+ - + - + - +

  Posted by tomarken on 2006-03-06 09:58:10
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