Slitherlink

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Rules[edit]

Slitherlink Example.png Slitherlink Example Solution.png

Draw a single, non-intersecting loop that only consists of horizontal and vertical segments between the dots. A number inside a cell indicates how many of the edges of that cell are part of the loop.

(Rules and example from PGP IB)

Rule variations[edit]

  • Some cells may not be square-shaped and have four edges around them. (Irregular grids)

Variants[edit]

Polygraph[edit]

Polygraph Example.png Polygraph Example Solution.png

First appeared on 8th 24-Hour Puzzle Championship (2007).[1] The author of the puzzle was Serkan Yürekli (Turkey).

Draw a single closed loop along the grid lines. The numbers that are outside the loop indicate the number of cell sides used by the loop. The numbers that are inside the loop indicate the number of the cell sides unused by the loop.

(Rules and example from WPC 2018 IB)

In the original puzzle by Serkan, the roles of inside and outside clues were the other way around. Commonly presented as an inside/outside Slitherlink variant, this puzzle is actually closer to shading puzzles (consider inside/outside patterns around clues).

Walking Slitherlink[edit]

Walking Slitherlink Example.png Walking Slitherlink Example Solution.png

First appeared on LMD portal in 2013. Author of the puzzle was Christian Halberstadt (Germany). Grid is Hexagonal by default because of parity.

Draw a closed loop along the dotted lines that uses each grid point at most once. A person walks along the loop, alternating between their left and right foot, always one edge per step. The numbers indicate how many steps on the edges of the respective cells that a person makes with their right foot.

(Rules and example from WPC 2019 IB)

Liar Diagonal Slitherlink[edit]

Liar Diagonal Slitherlink Example.png Liar Diagonal Slitherlink Example Solution.png

First appeared on Puzzle Marathon contest on LMI in 2013. Author of the puzzle was Jakub Hrazdira (Czech Rep.)

Standard Slitherlink rules apply. However, exactly one number in each row and each column is wrong (value of that number doesn’t correspond with the number of square edges used by loop). Moreover, each square with the wrong number should be crossed by loop diagonally.

(Rules and example from 2013 Puzzle Marathon IB)

Cave / Slitherlink[edit]

Cave Slitherlink Example.png Cave Slitherlink Example Solution.png

Hybrid with Cave clues. First appeared on WPC 2019/World Cup Round 2. Author of the puzzle was Jürgen Blume-Nienhaus (Germany).

Draw a loop. Clues inside the loop work as Cave clues, while clues outside the loop work as Slitherlink clues.

(Example from WPC 2019 IB)

History of the puzzle[edit]

First appeared on Nikoli volume 26 (1989). The rule was suggested by 矢田レーニン ("Yada Renin"). Originally named スリザーリンク.

Originally the puzzle was presented like Bosnian Road. It took the current form when Nikoli merged the elements of a different puzzle called ナンピツ ("Nanpitsu," suggested by 轟由紀 ("Todoroki Yuki"), first appeared also in 1989).

Appearances in the past WPCs[edit]

References[edit]