Logic Masters Deutschland e.V.

Chaos Construction: FroZen Pentominoes

(Published on 25. January 2025, 21:14 by oklux)


Behold, a chaos construction!


Rules:

  • Chaos Construction: Divide the grid into nine orthogonally-connected nine-cell regions, and place the digits 1-9 once in each row, column, and region.
  • Two region borders are given.

  • Each region contains exactly one F, Z, or P pentomino, except one region containing the given T pentomino (given as a caged clue). No two pentominoes of the same shape (including rotations/reflections) share an edge. All given digits must be in pentominoes.

  • Draw a single orthogonal loop that only passes through pentominoes. The loop cannot revisit any pentomino. The loop may or may not visit all pentominoes. The loop never visits any cell that is not part of a pentomino. The loop can touch itself diagonally but not orthogonally. Circled cells are always part of the loop and indicate how many loop cells are in the pentomino that the circle belongs to. Adjacent digits along the loop inside pentominoes must differ by at least 5. When the loop crosses into another pentomino, the two digits at the border must be consecutive.

  • Cells separated by a white dot must be consecutive and part of the loop.


Solve in SudokuPad  ▶


Solution code: Row 2 with dashes (-) for region borders (Example: 123-45-6-7-89)

Last changed on on 26. January 2025, 09:27

Solved by dogfarts, han233ing, jkuo7, marcmees, seh_bas, MaizeGator, Vodakhan , Mr_tn, zakkai, robinson12, Mince, Angel, bansalsaab, etoler, mercierus, dustpan, SenatorGronk, Jesper, karlmortenlunna, MagnusJosefsson, misko, ONeill, oskode
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Comments

Last changed on 29. January 2025, 19:35

on 29. January 2025, 19:22 by SenatorGronk
I struggled for a long time on the phrase “exactly one F, Z, or P pentomino”. Not sure how else you could say it, but that reads to me like “if a region has 5 cells that make a P-pentomino, it can’t also have 5 cells that make an F-pentomino (or even a different 5 cells that make another P-pentomino)”

_______

Right, I can see the way you see it. Sorry, that didn't cross my mind even though I understood it's a confusing concept. I'll try to polish it up.

Last changed on 26. January 2025, 19:22

on 26. January 2025, 19:16 by briiisy
Maybe this is just inexperience, but I don't know what F, P, and Z pentominoes should look like. Also could they be backwards in this puzzle?

- You can look them up on google, and yes they can be in any orientation including rotations/reflections

on 26. January 2025, 09:11 by marcmees
very nice. thanks

on 25. January 2025, 23:06 by oklux
Clarified a rule

Difficulty:4
Rating:95 %
Solved:23 times
Observed:1 times
ID:000LRC

Puzzle variant Variant combination New Pentominoes

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Solution code:

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