For this Chaos Fillomino series, I am planning to create more puzzles with non-standard rulesets and, preferrably, no given digits. Feel free to let me know what you think!
Fillomino rules: Divide the grid in regions, such that no two regions of the same size touch orthogonally. Each cell contains a number that indicates the size of the polyomino it is in.
In this puzzle there is no region of size 1.
In addition, the dots provide clues about the region borders in the grid, where a line is considered to be a maximal straight segment of edges, in the sense that it cannot be extended to form a longer straight line.
1. Each dot has at least one line passing straight through it.
2. All lines going through black dots have their center at the black dot.
3. All lines going through white dots do not have their center at the white dot.
Solve on Penpa
Lösungscode: Row 5, column 5
am 22. Oktober 2021, 10:31 Uhr von PixelPlucker
Very nice! I was surprised by the subtlety of the logic in some places. Beautifully executed, I really enjoyed it!
am 13. Oktober 2021, 13:41 Uhr von Aspartagcus
Wonderful puzzle! Loved the idea and the execution was very well done as well. Thanks!
am 22. September 2021, 23:00 Uhr von Phistomefel
Very cool idea and a very enjoyable puzzle. Thanks, Mark Sweep!
am 11. September 2021, 21:34 Uhr von Skyler
am 6. September 2021, 15:26 Uhr von SudokuExplorer
It was a lot of fun to solve, once I understood the definition of the lines. Thanks, I look forward to trying the rest of the series! :-)
For anyone confused, a "line" is a "straight line segment along the boundary edges of all regions, which cannot be extended to form a longer straight line". It is associated with the entire Fillomino grid, not any particular region.
am 4. September 2021, 23:10 Uhr von marcmees
very nice non-standard.
am 4. September 2021, 17:14 Uhr von Jesper
Good one, Mark! The Fillomino and the midloop logic combine really nicely here. I enjoyed it a lot!
am 3. September 2021, 23:26 Uhr von MagnusJosefsson
Wow, cool idea and definitely a very original ruleset with quite different logic! It felt a bit mindbendning at times, though in the end I never actually made any mistakes and the puzzle itself was very quick and smooth. I am really looking forward to the continuation of this series!