Fillomino Sudoku
(Published on 29. August 2020, 08:26 by spxtr)
Rules:
- Normal Sudoku rules apply for the digits 3, 4, and 5. You do not need to place any other digits.
- In addition, the grid is completely and uniquely covered with polyominos of size 3, 4, and 5. All digits are within a polyomino of their size, and all polyominos contain one or more of their corresponding digits. Polyominos of the same size cannot share an edge.
Your task is to solve the reduced Sudoku as well as figure out the tiling. Good luck, and please leave a comment and a rating if you manage to solve it!
Solution code: List the 3, 4, and 5 digits in order from rows 4 to 9, left to right.
Comments
on 21. April 2021, 14:16 by Mark Sweep
What an amazing puzzle! The way to think about this puzzle to get started is so clever!
Glad you enjoyed it! -spxtr
on 28. October 2020, 08:15 by spxtr
Thank you for the kind words, hurrdurr :)
on 27. October 2020, 16:03 by hurrdurr
Incredible puzzle! It took quite some time to get started, but it was very satisfying in the end :)
on 6. September 2020, 00:49 by spxtr
Thanks MagnusJosefsson, glad you liked it!
on 5. September 2020, 13:10 by MagnusJosefsson
Really great puzzle! Very challenging in my opinion, even after figuring out the general structure of the solution getting the details right was quite hard and slow going for me. But I persevered since I enjoyed it so much.
on 1. September 2020, 03:59 by spxtr
I updated the rules to include the constraint that every polyomino has its corresponding digit in it. This isn't necessary for the solve, kudos to everyone who solved it without. It does make the solve a bit smoother, and it's what I had in mind when setting, since in fillomino you fill the grid with the digits! I can undo this change to the rules if anyone feels strongly about it.
on 31. August 2020, 22:11 by spxtr
Thanks Jesper, glad you liked it!
on 31. August 2020, 15:05 by Jesper
An excellent puzzle! Felt impossible to get going at first, until I started to focus on the right things. This is one of those puzzles where you can't get anywhere using trial and error, so you just have to think and figure it out.
