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 3D Sudoku - Part II (Posted on 2006-03-17)
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)

 See The Solution Submitted by Dustin Rating: 3.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
 solution Comment 6 of 6 |

good one.

had got bored of solving 9x9 diabolicals.

solution is

6,13,4,2

3,5,1,14

8,15,7,11

16,10,9,12

1,7,15,9

12,8,11,16

5,3,14,10

13,6,2,4

10,14,12,8

15,9,6,13

2,4,16,1

7,11,5,3

11,16,3,5

4,2,10,7

9,12,13,6

14,1,8,15

hope I got it all right

 Posted by salil on 2006-04-04 12:48:50

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