Quintessence [Pentominous Fillomino]
(Published on 29. June 2023, 21:28 by MicroStudy)
Rules
- Fillomino (except 5): Divide the grid into regions of orthogonally-connected cells such that no two regions of the same size share an edge, UNLESS the regions are both of size 5 (pentominoes). Enter a number into each cell equal to the size of its region.
- Arrows: Numbers on cells with arrows indicate the amount of pentominoes seen in the direction of the arrow. If a cell has two arrows, it indicates the COMBINED amount of pentominoes seen in both directions. If a pentomino is seen by two arrows coming from the same cell, it is counted as being seen once. Cells with arrows can belong to the same region as a seen pentomino. Not all possible arrows are necessarily given.
- Pentominous: Two orthogonally adjacent pentominoes must be of different shapes, regardless of rotation or reflection.
6x6 Example
The Actual Puzzle
Play on SudokuPad (answer check only on numbers)
The Twelve Standard Pentominoes, ignoring rotations and reflections
Solution code: Row 12, but replace every instance of the digit 5 with its corresponding Pentomino letter found in the diagram above
Comments
on 28. March 2024, 08:14 by goodcity
I am following in love with Fillomino puzzles ! Really enjoyed this one with an increasing difficulty.
on 1. December 2023, 06:11 by konklone
I am very impressed by this puzzle. I found it original and entertaining all the way through!
on 20. September 2023, 12:29 by wisty
Another great fillo concept! First two thirds of the puzzle is really fun and smooth. Some later steps are really tough to spot because you have to survey long diagonals marked by clued cells you already used much earlier in the solve.
on 12. September 2023, 03:32 by Xendari
banger
on 15. August 2023, 19:13 by samuel1997
This is wonderful! Especially the end of the puzzle is sublime!
on 15. August 2023, 11:31 by Playmaker6174
No doubt the most amount of 5s I've seen in a fillomino puzzle so far, but that also made for such an engaging (and brainteasing) solve till the very end. Very well done there x)
on 4. August 2023, 04:08 by heliopolix
Awesome fillomino. I enjoyed every minute of it, but I had to take a star off for each F pentomino :P
on 13. July 2023, 14:38 by wand
I was delighted at how smoothly all the fives resolved! very nice!
on 3. July 2023, 01:47 by Silverbyte
This puzzle was absolutely phenomenal in my opinion! It was the gift that kept on giving, with lots of very tiny deductions round every corner.
on 1. July 2023, 16:46 by ONeill
Very nice :)
on 1. July 2023, 13:58 by Piatato
Fun idea and puzzle! Very hard for me, though, it felt a lot harder than 3/5.
on 1. July 2023, 04:17 by Agent
Fun ruleset, never seen so many 5s in a Fillomino.
on 30. June 2023, 14:13 by Snookerfan
Very nice and great fun! Thank you
on 30. June 2023, 12:14 by marcmees
smooth solve until the last 5 pento's. nice. thanks.
on 30. June 2023, 00:34 by Christounet
Quintessential puzzle !
A very nice twist on fillominos, fun and smooth. The colored grid looks pretty at the end too. All the qualities of a banger !
on 29. June 2023, 21:36 by mathpesto
A fun smooth puzzle with an inventive ruleset, thoroughly enjoyed this one!
