Logic Masters Deutschland e.V.

Iterations (Pentopia Yajilin Construction)

(Published on 28. June 2025, 08:09 by sfushidahardy)

Iterations

This puzzle was inspired by wisty's Battleship Deconstruction. However, instead of using Battleship to build a Sudoku, I've used Pentopia to build a Yajilin. I hope you enjoy the puzzle!

Rules:
  • Each cell in the grid is exactly one of four cell types, as follows:
    1. Pentopia clues (blue, given)
    2. Pentominoes (to be determined)
    3. Shaded cells (to be determined)
    4. Loop cells (to be determined).
    In other words, you will locate both pentominoes and shaded cells (which are distinct from each other), and draw a loop through all non-clue, non-pentomino, non-shaded cells.
  • Pentopia: place some of the given pentominoes in the grid so that no pentominoes touch, even diagonally. Each pentomino may be rotated or reflected, but must not repeat in the grid (where rotations and reflections are considered the same shape). The given clues (blue) indicate all the directions (up, down, left, and right) where the nearest pentominoes are located when looking from that cell. (To clarify, if a clue has multiple arrowheads, the distance to the closest pentomino cell must be the same in each direction, and pentominoes cannot overlap arrow clues.)
  • Yajilin: shade some non-clue and non-pentomino cells in the grid, and draw a loop that travels orthogonally through the centers of all remaining (non-clue, non-pentomino, non-shaded) cells. Shaded cells cannot share edges with each other (although they may be adjacent to clue cells or pentominoes). Some pentominoes contain arrows with numbers: these count the number of shaded cells in the indicated direction. Note that any numbered arrows in pentominoes will rotate or reflect together with its pentomino when placed in the grid.

Solution code: Column 13 (3rd from the right), from top to bottom: S for straight (loop), T for turn (loop), X for shaded, P for pentomino. (Ignore the clue cell; 14 characters in total.) For the example puzzle, the solution code would be "TTPSXTTS".


Solved by Rickium, RJBlarmo, apiad, Piatato, stefliew, MaizeGator, Franjo, tuturitu, wisty, rubbeng, Jesper, kays, Bobuardo da Vinci, Tom-dz, Paletron, KenGlue, Mr_tn, Calesch, Christounet, kriskos, Zorzi, puzzler05, askaksaksask, abed hawila, ns08, Shmartus, rob, CutieRainbow, Zzzyxas, jkuo7, AAAAAAAAAAAAAAAAAAA, widjo, Agent, Komeiji_Carey, misko, dogfarts, AnnaTh
Full list

Comments

on 12. July 2025, 17:28 by Agent
Very cool and impressive!

on 1. July 2025, 03:30 by askaksaksask
In terms of pure fun, this is a 10/10. No notes here, just great puzzle setting. This is also very accessible, with a really well constructed interaction mechanic. The myopia cells are great. Wonderful. Thank you!

on 30. June 2025, 11:18 by Christounet
Great combo! Thanks :)

on 29. June 2025, 00:40 by Jesper
Really lovely, thanks!

on 28. June 2025, 23:26 by wisty
Really cool! Honored to have tested both versions of this and helped inspire it :)

on 28. June 2025, 19:10 by Franjo
Hard - and so satisfying! Thank you so much for creating and sharing this extraordinary puzzle.

on 28. June 2025, 17:51 by MaizeGator
Without seeming hyperbolic, this is an instant contender for my favorite sfushidahardy puzzle of all time. Such a weird ruleset, but felt so natural and intuitive by the early mid-solve

Last changed on 28. June 2025, 16:47

on 28. June 2025, 16:25 by KenGlue
How do I place these yajilin arrows in penpa?

Reply: in solving move, >Shape >Arrow >4-Edge.

on 28. June 2025, 12:36 by Piatato
Great fun, thanks!

on 28. June 2025, 08:47 by RJBlarmo
Very fun puzzle!

Difficulty:4
Rating:100 %
Solved:37 times
Observed:1 times
ID:000NZW

Puzzle combination Path puzzle Placement puzzle Shading puzzle

Enter solution

Solution code:

Login