Mystery Lines
(Published on 4. December 2022, 19:34 by shinggaming)
Normal Sudoku rules apply. Place four tetrominos in the upper grid of the following colors: red, blue, green, grey. In a tetromino, the cells are numbered from top to bottom then left to right (see example on the left). Each box of the tetromino represents the line of that color in the corresponding sudoku grid. For example, if box 3 of the blue tetromino was in the palindrome row, that means the blue line in the third grid (bottom left) is a palindrome line.
- Along whisper lines, adjacent digits must differ by at least 3.
- Along palindrome lines, cells equidistant from the middle contain the same digit
- Along renban lines, the digits in cells form a consecutive sequence (not necesarily in order)
- Along modular lines, each sequence of three cells contains one digit from each modular group (1/4, 2/5, 3/6)
Links:
Solution code: Row 6 of each grid (grid 1, grid 2, grid 3, grid 4) - no spaces
Comments
on 28. September 2024, 05:01 by Kafkapharnaum
Not sure why this super original and fun puzzle had been stuck at 1 solve for so long… At this point I’m just convinced that 3/5 is a cursed rating to start a puzzle on lol, though admittedly it felt tougher than the usual 3/5 (oh, and it’s not really an Instructionless, is it)
Having only limited time for puzzles these days and usually spending what I have on setting, I solved this one a few minutes at a time over multiple days, and I don’t remember my path much, but I seem to recall grid 3 (and by extension the 4th too) being quite tough with regards to figuring the tetrominoes. I had to backtrack twice (and indeed, they could be mirrored), and then the first grid was a pretty tricky 6x6 on its own! Thankfully, the others were much gentler, so it all unwinded beautifully and smoothly. Great fun overall, thanks for setting this! I hope this will get more attention :-)
on 2. June 2023, 16:59 by horst35
I have a proof that this is not possible. Can someone check what's wrong with my proof if I post it as a hidden comment?
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Send a link of your progress
on 27. May 2023, 18:05 by horst35
What is the middle for the grey line in Sudoku 3?
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r4c2 and r5c3 would be the middle cells, however it is pretty apparent that the line cannot be a palindrome.
on 6. December 2022, 09:16 by StefanSch
Nice!
The placement of the tetrominos seems to be not unique (mirroring on the vertical axis).
