My long-time duplicate bridge partner frequently solves Soduko puzzles that are
published in the Washington Post. I mentioned that I had constructed a "Soduko
cube" and proceeded to describe the particulars. When finished with the explanation,
he said he would "rather have a root canal with power tools" than solve such a
puzzle. I went on to say that it wasn't really meant for humans, just sub-humans
and programmers.
Let me describe the particulars. The standard Soduko square is a 9x9 arrangement
of cells. The related Soduko cube is a 9x9x9 arrangement of 729 cells in three
dimensions.
The cube may be "sliced" in 27 ways:
1) Nine slices correspond to the front/back view.
2) Nine slices correspond to the left/right side view.
3) Nine slices correspond to the top/bottom view.
The 27 squares below are different slices of the first ever (to my knowledge)
Soduko cube. The digits in each square adhere to the usual row, column,
and 3x3 box permutation constraints.
Notice:
1) The top row of square (AY) is the same as the bottom row of (AZ).
2) The left column of (AY) is the same as the right column of (AX).
Same cells -- different views.
I did not know, but only suspected, that such a cube could be constructed,
and was quite pleased when the first solution appeared. Here it is:
Soduko Cube #1:
- Code: Select all
Left Side Views Front Views Top Views
(X) (Y) (Z)
9 6 5 8 7 1 4 3 2 2 9 6 8 7 3 5 1 4 9 4 1 2 8 6 3 5 7
3 8 4 2 6 5 7 9 1 1 8 4 2 6 5 3 7 9 6 3 7 5 1 4 9 8 2
2 1 7 4 3 9 6 8 5 5 3 7 4 9 1 2 8 6 5 8 2 3 9 7 4 6 1
4 2 6 3 8 7 1 5 9 9 6 3 7 5 2 8 4 1 8 6 9 7 3 1 2 4 5
(A) 8 9 1 6 5 2 3 7 4 4 5 2 6 1 8 9 3 7 7 5 4 9 2 8 1 3 6
7 5 3 1 9 4 2 6 8 8 7 1 3 4 9 6 5 2 1 2 3 4 6 5 8 7 9
5 4 9 7 1 3 8 2 6 6 1 5 9 3 7 4 2 8 4 1 8 6 5 2 7 9 3
6 7 2 5 4 8 9 1 3 3 4 8 1 2 6 7 9 5 3 7 5 1 4 9 6 2 8
1 3 8 9 2 6 5 4 7 7 2 9 5 8 4 1 6 3 2 9 6 8 7 3 5 1 4
4 3 8 6 5 2 1 7 9 3 7 5 1 4 9 6 2 8 3 7 6 4 5 1 2 9 8
7 2 1 3 9 4 5 6 8 9 6 2 3 8 7 4 5 1 8 2 5 7 3 9 1 4 6
5 9 6 7 1 8 2 4 3 8 4 1 5 2 6 9 3 7 4 1 9 6 2 8 7 3 5
3 7 5 9 4 1 8 2 6 5 2 4 8 6 1 7 9 3 2 3 1 5 4 6 9 8 7
(B) 6 4 2 8 7 3 9 1 5 7 1 8 9 3 4 2 6 5 6 9 8 1 7 3 5 2 4
1 8 9 5 2 6 4 3 7 6 3 9 2 7 5 1 8 4 5 4 7 8 9 2 6 1 3
2 6 7 4 8 5 3 9 1 2 9 7 4 5 8 3 1 6 7 5 3 9 1 4 8 6 2
8 1 3 2 6 9 7 5 4 1 5 6 7 9 3 8 4 2 9 6 2 3 8 7 4 5 1
9 5 4 1 3 7 6 8 2 4 8 3 6 1 2 5 7 9 1 8 4 2 6 5 3 7 9
1 7 2 9 4 3 8 5 6 4 1 8 6 5 2 7 9 3 2 5 8 9 7 3 6 1 4
6 5 9 1 8 7 3 2 4 7 5 3 9 1 4 8 6 2 1 9 4 8 6 2 5 7 3
8 4 3 5 2 6 9 1 7 6 2 9 7 3 8 1 4 5 7 6 3 1 4 5 8 2 9
9 1 8 2 6 5 7 4 3 1 8 7 4 9 3 5 2 6 4 7 5 2 8 9 3 6 1
(C) 5 3 7 4 1 9 6 8 2 3 9 6 5 2 7 4 1 8 3 1 2 6 5 4 7 9 8
2 6 4 7 3 8 5 9 1 2 4 5 1 8 6 3 7 9 9 8 6 3 1 7 4 5 2
3 8 1 6 9 2 4 7 5 8 3 4 2 6 1 9 5 7 6 2 9 7 3 8 1 4 5
4 9 5 3 7 1 2 6 8 9 7 2 8 4 5 6 3 1 8 4 1 5 2 6 9 3 7
7 2 6 8 5 4 1 3 9 5 6 1 3 7 9 2 8 4 5 3 7 4 9 1 2 8 6
2 5 3 7 9 4 6 1 8 1 2 3 4 6 5 8 7 9 4 3 9 6 2 7 1 8 5
4 7 6 5 1 8 9 3 2 5 4 7 8 9 2 6 1 3 2 7 1 3 8 5 4 6 9
9 8 1 2 6 3 7 5 4 9 8 6 3 1 7 4 5 2 6 5 8 9 1 4 3 7 2
6 3 9 1 5 2 4 8 7 7 1 5 2 4 6 9 3 8 3 9 2 1 7 8 6 5 4
(D) 1 2 8 3 4 7 5 9 6 2 3 9 7 8 1 5 4 6 8 4 6 5 3 9 2 1 7
5 4 7 6 8 9 1 2 3 4 6 8 9 5 3 7 2 1 7 1 5 2 4 6 9 3 8
7 1 5 8 3 6 2 4 9 3 5 2 6 7 9 1 8 4 1 8 7 4 9 3 5 2 6
3 6 4 9 2 5 8 7 1 8 9 1 5 3 4 2 6 7 5 2 4 8 6 1 7 9 3
8 9 2 4 7 1 3 6 5 6 7 4 1 2 8 3 9 5 9 6 3 7 5 2 8 4 1
8 1 9 3 2 6 5 4 7 7 5 4 9 2 8 1 3 6 8 6 5 1 4 9 7 2 3
5 3 2 4 7 9 1 8 6 6 9 8 1 7 3 5 2 4 9 4 3 2 7 6 8 5 1
7 6 4 8 5 1 3 2 9 3 1 2 6 5 4 7 9 8 1 2 7 8 5 3 6 9 4
2 8 1 7 3 4 9 6 5 8 4 6 5 3 9 2 1 7 6 8 4 3 9 5 1 7 2
(E) 4 7 5 9 6 8 2 3 1 5 7 1 4 6 2 3 8 9 5 7 1 4 6 2 3 8 9
3 9 6 2 1 5 8 7 4 9 2 3 8 1 7 4 6 5 2 3 9 7 8 1 5 4 6
9 2 8 1 4 7 6 5 3 1 8 9 3 4 5 6 7 2 3 9 6 5 2 7 4 1 8
1 5 7 6 8 3 4 9 2 4 6 7 2 8 1 9 5 3 7 1 8 9 3 4 2 6 5
6 4 3 5 9 2 7 1 8 2 3 5 7 9 6 8 4 1 4 5 2 6 1 8 9 3 7
6 4 7 1 8 5 2 9 3 8 6 9 7 3 1 2 4 5 7 1 2 5 3 8 9 4 6
1 9 8 6 3 2 4 7 5 2 3 1 5 4 6 9 8 7 5 8 6 4 9 1 2 3 7
3 2 5 9 4 7 8 6 1 4 7 5 2 8 9 3 6 1 3 9 4 7 6 2 5 1 8
7 5 4 8 9 6 3 1 2 3 9 2 1 7 8 6 5 4 1 5 7 6 2 4 8 9 3
(F) 9 6 3 5 2 1 7 4 8 6 8 4 3 9 5 1 7 2 9 2 3 8 1 7 4 6 5
8 1 2 4 7 3 6 5 9 1 5 7 6 2 4 8 9 3 4 6 8 9 5 3 7 2 1
4 3 6 2 5 9 1 8 7 7 4 6 8 1 2 5 3 9 2 4 5 1 8 6 3 7 9
2 8 9 7 1 4 5 3 6 5 2 3 9 6 7 4 1 8 6 3 9 2 7 5 1 8 4
5 7 1 3 6 8 9 2 4 9 1 8 4 5 3 7 2 6 8 7 1 3 4 9 6 5 2
3 9 4 2 1 8 7 6 5 5 8 2 3 9 7 4 6 1 5 2 3 7 9 4 8 6 1
2 1 7 9 5 6 8 4 3 4 1 9 6 2 8 7 3 5 4 6 8 1 2 3 7 9 5
6 5 8 3 7 4 1 9 2 7 6 3 1 4 5 8 2 9 9 7 1 5 8 6 2 4 3
1 4 3 6 2 9 5 7 8 6 5 8 9 1 4 3 7 2 7 4 6 8 1 2 5 3 9
(G) 7 8 6 1 3 5 4 2 9 1 2 7 8 5 3 6 9 4 1 8 9 3 4 5 6 7 2
9 2 5 8 4 7 3 1 6 3 9 4 7 6 2 5 1 8 3 5 2 6 7 9 1 8 4
8 7 2 5 6 1 9 3 4 9 7 1 5 8 6 2 4 3 8 3 4 2 6 1 9 5 7
5 3 1 4 9 2 6 8 7 2 3 5 4 7 9 1 8 6 2 9 7 4 5 8 3 1 6
4 6 9 7 8 3 2 5 1 8 4 6 2 3 1 9 5 7 6 1 5 9 3 7 4 2 8
5 8 6 4 3 7 9 2 1 6 3 7 5 1 4 9 8 2 6 8 4 3 1 2 5 7 9
9 4 3 8 2 1 6 5 7 8 2 5 7 3 9 1 4 6 7 1 9 6 5 8 3 2 4
1 7 2 6 9 5 4 3 8 1 9 4 8 6 2 5 7 3 2 3 5 4 7 9 1 8 6
8 6 7 5 1 3 2 9 4 2 7 1 3 8 5 4 6 9 5 2 3 9 6 7 4 1 8
(H) 2 5 9 7 8 4 1 6 3 9 4 3 2 7 6 8 5 1 4 6 7 2 8 1 9 5 3
4 3 1 9 6 2 7 8 5 5 8 6 4 9 1 2 3 7 8 9 1 5 3 4 2 6 7
6 9 4 3 7 8 5 1 2 4 6 8 1 2 3 7 9 5 9 7 2 8 4 5 6 3 1
7 2 8 1 5 6 3 4 9 7 1 9 6 5 8 3 2 4 1 5 6 7 9 3 8 4 2
3 1 5 2 4 9 8 7 6 3 5 2 9 4 7 6 1 8 3 4 8 1 2 6 7 9 5
7 2 1 5 6 9 3 8 4 9 4 1 2 8 6 3 5 7 1 9 7 8 6 5 4 3 2
8 6 5 7 4 3 2 1 9 3 7 6 4 5 1 2 9 8 3 5 2 9 4 7 6 1 8
4 3 9 1 8 2 5 7 6 2 5 8 9 7 3 6 1 4 8 4 6 2 3 1 9 5 7
5 9 2 4 7 8 6 3 1 4 3 9 6 2 7 1 8 5 9 1 8 4 5 3 7 2 6
(I) 3 1 4 2 9 6 8 5 7 8 6 5 1 4 9 7 2 3 2 3 5 7 9 6 8 4 1
6 7 8 3 5 1 9 4 2 7 1 2 5 3 8 9 4 6 6 7 4 1 2 8 3 9 5
1 5 3 9 2 4 7 6 8 5 2 3 7 9 4 8 6 1 5 6 1 3 7 9 2 8 4
9 4 6 8 3 7 1 2 5 6 8 4 3 1 2 5 7 9 4 8 3 6 1 2 5 7 9
2 8 7 6 1 5 4 9 3 1 9 7 8 6 5 4 3 2 7 2 9 5 8 4 1 6 3
For Your Information:
1) Square (AY) is the solution to the puzzle originally published in
the Washington Post on August 21, 2005.
2) The standard Soduko square has 27 permutation constraints.
The Soduko cube has 486 permutation constraints, some of which
apply to multiple slices.
3) My next project, to please myself and for the amusement of the
Soduko community is to make a puzzle with a Soduko cube as the answer.
Are there any sub-humans or programmers up to the challenge?
Comments are appreciated.
