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 3D Sudoku - Part I (Posted on 2006-03-06)
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 | 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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