Logic Masters Deutschland e.V.

Enclosure

(Published on 15. November 2025, 13:42 by damasosos92)

This puzzle was made for the third round of PAC, a tournament hosted by Agent.


Rules:

Pento loop: Place all the twelve pentominos in the grid exactly once (including rotations and reflections), creating a closed ring. Every pentomino must be connected to exactly two different other pentominos in the ring. Two connected pentominos can only touch in a single edge.

The pentomino ring divides the grid into three different regions made of orthogonally connected cells: the ring region, the central region and the outer region.

Numbers in the grid have different meanings depending on where they are:

  • if they are part of the central region, they act as cave clues, counting the total number of cells that can be seen in that region from the clue in a straight line vertically or horizontally, including itself.
  • if they are part of the ring region, they count the number of pentomino edges drawn surrounding the clue.
  • if they are part of the outer region, they count the total number of pentomino edges that can be seen from the clue in a straight line vertically or horizontally.


Solve on Penpa+




An example of the ruleset with tetrominoes is provided in the image below:



Have fun solving and please leave a comment after your solve!

Solution code: Row 5, from left to right (14 letters): put the letter O for a cell in the outer region, the letter R for a cell in the ring region and the letter C for a cell in the central region. Es: OOORCCRCRROOOR


Solved by Agent, Christounet, yttrio, Jesper, puzzler05, Grausbert
Full list

Comments

on 15. November 2025, 17:41 by yttrio
Very cool ruleset, and a great entry for the round!

on 15. November 2025, 17:03 by Christounet
Excellent puzzle, with an original ruleset that leads to very unique deductions. Some deductions require a visualisation of the connectivity that is quite hard but fair. One of my prefered of this round. Thanks :)

on 15. November 2025, 13:51 by Agent
A one-of-a-kind puzzle, ery challenging and with some very distinctive deductions!

Difficulty:4
Rating:N/A
Solved:6 times
Observed:1 times
ID:000Q4Z

Variant combination Online solving tool Placement puzzle Shading puzzle Pentominoes

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Solution code:

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