Crossbeams
(Published on 21. March 2024, 22:19 by stephane.bura)
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Normal Sudoku rules apply. The value of a cell is the height of a 3-cube long beam in the direction of the smallest orthogonal neighbor (see example). If several directions are possible, choose one. The cells of the given digits are the only ones for which the topmost beams covering them are at height 5 or lower. For any two non-grey cells, it is possible to trace an orthogonal path from one to the other by walking on the topmost beams of the cells in the path and never going up or down by more than one step (e.g. from height 7 to 8 but not from 9 to 7). Enjoy! Play this puzzle on SudokuPad |
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Solution code: Column 1, column 6
Comments
on 23. March 2024, 05:48 by Gnosis66
This is the most original and inventive puzzle I’ve played in many months. It was very difficult to conceptualize at first, but it became much less abstract during the process of solving. I can’t begin to understand how you set this, but thanks!
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Thanks, Gnosis66 :)
There's a reason why I don't post many puzzles anymore ;) This one took a year to mature.
on 22. March 2024, 07:05 by stephane.bura
Added Penpa+ link.
on 22. March 2024, 04:37 by henrypijames
This is some mind-boggling stuff, Stephane! I haven't used Penpa forever, but for this one I think I'll need it to mark the beam direction of each single cell. Could you provide a Penpa link?
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Here you go :)
This is a good call. Have fun!
on 21. March 2024, 23:55 by Gnosis66
Can the cell value be the middle block of the beam?
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No, it must be its end point.
Good luck! :)
