Logic Masters Deutschland e.V.

Fillomino U-Bahn

(Published on 1. May 2023, 23:28 by KNT)

Draw a totally connected loop network through the centers of some cells, which may branch or turn, but may not have any dead ends. A clue outside the grid indicates how many times the corresponding line shape (i.e. a cross, branch, straight line, or turn) appears in the corresponding row or column, irrespective of the line shape's rotation.

Then, divide the grid into orthogonally connected areas such that no two areas of the same size share an edge. A number inside the grid indicates the size of the area containing that cell. Within an area, all shapes of the loop network must be identical up to rotation, or are empty, but no area may be completely unvisited by the loop network. Adjacent areas must contain different shapes.

A 7x7 example is provided:

SudokuPad

penpa+

Solution code: For each row except the last, the number of lines leading down from that row. Then, the sizes of the areas in the second row (17 digits)

Last changed on on 22. July 2024, 07:13

Solved by wooferzfg, the_cogito, polar, Myxo, Agent, tuturitu, jkuo7, Xendari, Piatato, lerroyy, Jaych, Jesper, widjo, Statistica, Martijn314, Alex, Zzzyxas, Koalagator2, RJBlarmo, Vebby, misko, ascension, ... Niverio, ibag, Bellsita, Yann, marcmees, pandiani42, nottabird, kiwi0710, OGRussHood, Christounet, Uhu, sth, ONeill, Paletron, itweb, The Book Wyrm, Nick Smirnov, Puzpensu, h5663454, Mr_tn
Full list

Comments

on 12. March 2024, 00:42 by The Book Wyrm
Great puzzle!
Lot of nice logic in here; the fillomino and u-bahn combination makes for some interesting interactions between the two rulesets.

on 7. December 2023, 00:18 by Christounet
Another super fun U-Bahn hybrid, with very well placed clues along the way. Thanks :)

on 24. August 2023, 11:22 by marcmees
genius puzzle. the fillomino constraint on shapes was a great help to trace the u-bahn. thanks

on 23. August 2023, 12:17 by Yann
Lovely puzzle, with a very engaging and fun solve path, even though I broke it 4 times due to my lack of rigor while considering some options, but I still enjoyed it a lot. Thanks for setting it !

on 22. July 2023, 22:40 by ibag
Fantastic puzzle with a wonderful ruleset!

on 22. July 2023, 19:20 by Niverio
Amazing puzzle! Loved every second of it.

Last changed on 16. May 2023, 10:47

on 16. May 2023, 08:39 by AnnaTh
I had to start several times but couldn't let it be (because it was such a beautiful combination). When I finally found my persistent mistake it went very smoothly afterwards.

on 2. May 2023, 22:42 by Jesper
Lovely puzzle! The combination works very well.

on 2. May 2023, 09:31 by Piatato
Very nice puzzle, thanks!

on 2. May 2023, 05:22 by Xendari
Lovely puzzle! I found it easier to notate without putting numbers in cells, may have made some steps take longer though.

on 2. May 2023, 01:46 by Agent
Lovely puzzle, the fillomino and Ubahn rules blended together really well!

on 2. May 2023, 00:52 by Myxo
Stunning puzzle as usual!

on 2. May 2023, 00:02 by wooferzfg
This is a really nice ruleset, and I think the 9x9 executes on it very well. It's difficult to notate, but that's made up for by the additional variety of deductions that come from the Fillomino part of the ruleset.

And as always, it's nice to see new U-Bahn puzzles :)

Difficulty:4
Rating:100 %
Solved:52 times
Observed:7 times
ID:000DRV

Enter solution

Solution code:

Login