Hexalink

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Hexalink
60D8A2D86F631309.jpg
TitleHexalink
AuthorLukaszM
GUID60D8A2D86F631309

Hexalink is a game by LukaszM. It is a hexagonal variant of Link by nmskr.

How to Play

Tap on an edge to place a line, tap the edge again to remove it. Tap with 2 fingers to enable/disable numbers. Buildings (numbers) indicate how many lines surround the cell. You win if all conditions are met:

  • The line makes a single loop
  • The line never makes a 3 way branch
  • There are no isolated lines in the level
  • All buildings are satisfied

Basic Logic

Some of these logic will be modified versions of original Slitherlink logic, so check those out before looking at hexalink logic.

Note: images are edited such that visualizations of cross marks are added to make it easier to see.

When finding new logic, visualizing combinations and if an edge is empty or not. Here are a couple of patterns:

  • If a line has only one path to take, extend that line with that 1 path:
Hexalink tips extension.png
  • If there is an explicit path that leads to a dead end if you take the path, that path has no lines:
Hexalink tips x extension.png
  • A 0 (tree) always doesn't have lines surrounding it:
Hexalink tips 0.png
As a result, more cross marks can be visualized:
Hexalink tips 0 x extension.png
  • A 1 (pool) clue with its edges consecutively touching the border at least 2 times doesn't have a line on the borders, since if one is filled, the loop is forced to extend, breaking the 1 clue:
Hexalink tips border 1.png
Same for 2 (factory) clue consecutively touching the border at least 3 times:
Hexalink border 2.png
  • The inverse applies. A 5 (tower) clue touching the border at least 2 times in a row must have a line on the borders, since if one is empty, the other one is empty and it will break the 5 clue:
Hexalink border 5.png
Same for the 4 (hotel) clue touching the border at least 3 times in a row:
Hexalink border 4.png
  • Two 5 clues adjacent to each other only has two combinations. Only keeping the common lines gives this pattern:
Hexalink adjacent 5.png
  • A 3 (hospital) clue touching the border exactly 3 times in a row has only 2 combinations:
Hexalink border 3.png

Keep in mind that a 2 (factory), 3 (hospital), or 4 (hotel) clue can have lines separated from each other.

Related

  • Link, a square lattice version with the same rules.