Chaos Pentominoes
(Published on 9. March 2024, 23:14 by Tacosian)
- Place the digits 1-10 once each in every row and column.
- Divide the grid into pentominoes such that all cells belong to a pentomino.
- Pentominoes of the same shape cannot share an edge, regardless of reflection or rotation.
- Digits may not repeat anywhere in the grid within the same pentomino shape, regardless of reflection or rotation (e.g. if one L pentomino contains the digit 5, then no other L pentomino in the grid may also contain a 5).
- If a cell with arrows contains a dashed square, then the digit in the cell is the number of pentomino borders seen in the indicated directions combined.
- If a cell with arrows does not contain a dashed square, then the digit in the cell is the number of pentomino borders seen in each direction individually.
- Edges of the grid do not count as pentomino borders for the purpose of arrow clues.
The following image is an example of a partially filled grid which adheres to the rules of the puzzle. This is provided to illustrate the ruleset, and is not necessarily extendable to a valid full puzzle.
The Puzzle
SudokuPad link: SudokuPad
Penpa+ link: Penpa+
To trigger answer check in SudokuPad, use the digit 0 to represent 10. However, do not forget that it counts as 10 for the purpose of arrow clues.
Solution code: The digits in row 2 from left to right. (If you solved in SudokuPad, remember that the 0 is actually a 10.)
Comments
on 2. May 2024, 22:39 by ONeill
Incredible!
on 22. March 2024, 04:24 by MxTery
This puzzle has a beautiful parsimony to it; it took me a while to solve, but it was engaging every step of the way.
on 20. March 2024, 10:55 by h5663454
After the region division is completed, then comes the real hell...
Yes, because I don't like flattery...
on 20. March 2024, 01:48 by Mutx
I never expect the pentominoes construction to be the easy part, absolutely terrific puzzle - both the original and current meaning.
on 19. March 2024, 01:15 by zhall12570
Phew! What a fantastic and difficult puzzle. Thank you!
on 16. March 2024, 08:26 by zhall12570
Phew! What a fantastic and difficult puzzle. Thank you!
on 15. March 2024, 18:21 by Azireo
This is a beast of a puzzle! I just can't begin to imagine how hard it must have been to set! Very very well done!
on 15. March 2024, 04:29 by yttrio
One of the toughest (and most rewarding) puzzles I've solved in a while! I had to take a bit of a break after getting the regions before tackling the Sudoku, but it was a very enjoyable ride throughout!
on 13. March 2024, 21:50 by TrollErgoSum
Absolutely loved this one. The pentomino setting and the sudoku were both really challenging and very satisfying to solve.
on 13. March 2024, 10:53 by Snookerfan
Absolutely brilliant puzzle! Amazing construction. Incredibly hard and diabolically clever, both the placing of the pentominoes and the sudoku. Thank you so much.
on 12. March 2024, 15:15 by Myxo
Awesome region building! The resulting Irregular was a scanning nightmare for me, it felt satisfying to finish in the end, though.
on 12. March 2024, 12:08 by MagnusJosefsson
Great puzzle idea! Very nice and very challenging!
on 11. March 2024, 20:04 by gfoot
Quite challenging throughout
on 11. March 2024, 16:49 by PrimeWeasel
Amazing, but extremely tough construction, better bring your A-game and scannerbrain.
on 11. March 2024, 11:03 by Jesper
Very nice and challenging, thanks!
on 11. March 2024, 00:56 by kamkam
Wow it was such a beautiful idea to make a puzzle like this. And once you get the shapes of the pentominoes, sudoku becomes even more monstrous. Loved it!
on 10. March 2024, 03:44 by Steven R
Loved the pentomino region finding, a lot of neat stuff going on there.
