4x4x4 3Doku
(Published on 10. April 2024, 04:26 by misha)
Note: This is my first experiment with a 3D sudoku puzzle. I'm still trying to figure out how best to describe the 3D rule. If you use the "Show seen cells" option in Sudokupad, it may help. Please leave a comment if you have any suggestions on how to clarify.
Rules:
Place the digits 1-4 once each in every 4-cell row, column, and 2x2 box.
The grid is 3D: the 4x4 grids are stacked depth-wise. Digits do not repeat in the same xy along the depth axis. Along the 3rd dimension, the same 2x2 box pattern exists.
Example: r3c5 has xyz coordinates (1,3,2) and must be different from r3c9 (1,3,3) etc
Solution code: Column 1 followed by column 11, read top to bottom (8 digits)
Comments
on 21. August 2024, 22:30 by ParaNox
I'm not sure if I'm lacking the ability to visualize this 3D thing adequately, but I wouldn't have been able to solve this puzzle without the "seen cells" option.
I still don't quite understand how the constraint is supposed to work, but that might be a me problem.
on 10. April 2024, 17:28 by lazyname1218
I think it's weird that r1c1 can be the same as r2c6. That's just to make the puzzle possible or am I missing something?
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r1c1 has 3d coordinates (1,1,1) and r2c6 has coordinates (2,2,2). These are not in the same 2x2 box no matter how you slice the cube.
Slicing front-to-back, r1c1 (1,1,1) sees r1c2 (2,1,1), r2c1 (1,2,1), and r2c2 (2,2,1).
Slicing left-to-right, r1c1 (1,1,1) sees r2c1 (1,2,1), r1c5 (1,1,2), and r2c5 (1,2,2).
Slicing top-to-bottom, r1c1 (1,1,1) sees r1c2 (2,1,1), r1c5 (1,1,2) and r1c6 (2,1,2).
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Thank you, I was imagining 8 2x2x2 boxes in a 4x4x4. I get it now!
on 10. April 2024, 14:02 by StephenEsven
can't wait to see a 9x9 with this ruleset
on 10. April 2024, 13:27 by lcy.30
Interesting idea! Wonder if a 4Doku can be constructed by stacking the grid along the y-axis as well...
