P-Bahn (Pentominous U-Bahn)
(Published on 25. July 2025, 09:00 by Agent)
Rules
- U-Bahn: 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.
- Pentominous: Divide the grid into non-overlapping pentominoes such that every cell is part of a pentomino. Orthogonally adjacent pentominoes may not be the same shape, regardless of rotation or reflection. A cell with a letter indicates that it belongs to the pentomino of the corresponding shape.
- Interactions:
- The line segments emerging from a cell may cross at most 2 pentomino borders.
- The loop network must cross the borders of every pentomino exactly 3 times.
Solution code: For each row except the last, from top to bottom, the number of lines leading down from that row.
Comments
on 1. April 2026, 13:33 by wullemuus
Phew!
Reading and interpreting the rules correctly would have helped a lot ;)
Somehow I tried to connect the lines from one pentomino with max. 2 others (like in the example). This led to nowhere. Even your comment couldn't open my eyes at the beginning. Finally there was this epiphany and the rest was much more pleasure than work. As always!
on 14. October 2025, 03:35 by MaizeGator
Ooops! Agent did it again
on 10. August 2025, 19:33 by lupo
Toll!
on 8. August 2025, 19:24 by sfushidahardy
Beautiful, theoretical puzzle! Super smooth once I figured out how to think about it.
on 8. August 2025, 07:10 by Christounet
Exceptional puzzle! Everything here, the symmetric design, the inner logic of the ruleset, the placement of the clues, the satisfying resolution, is just perfection. Another masterpiece in your catalogue. A must solve. Thanks :)
on 6. August 2025, 13:43 by ibag
Wow!!!!!! One of the greatest puzzles I ever solved!!!
on 5. August 2025, 10:39 by MagnusJosefsson
Wonderful puzzle, very fun and original combination!
on 26. July 2025, 00:00 by cyddrdrd
This version is really smooth and I enjoyed a lot!
on 25. July 2025, 16:00 by the_cogito
Loved this, awesome puzzle!
on 25. July 2025, 12:19 by Jesper
Fantastic puzzle, thanks!
on 25. July 2025, 10:04 by Piatato
Awesome puzzle!
