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[Hexalink](https://fancade.page.link/RkHU) is a game by LukaszM where you have to make a single loop that satisfies all the buildings to win
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[Hexalink](https://fancade.page.link/RkHU) is a game by LukaszM. It is a hexagonal variant of [[Link]] by nmskr.
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## How to play
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Tap an edge to place a line, tap the edge again to remove it, the buildings (or the number above it) indicates how many lines are boardering the cell, buildings can only be satisfied if the boardering lines matches the number of the building type. You win if all conditions are met:
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## How to Play
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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:
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* The line makes a single loop
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* The line never makes a 3 way branch
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* There is no isolated lines in the level
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* There are no isolated lines in the level
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* All buildings are satisfied
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## Basic Logic
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Some of these logic will be modified versions of original [slitherlink](https://www.conceptispuzzles.com/index.aspx?uri=puzzle/slitherlink/techniques) logic, so check those out before looking at hexalink logic.
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* If a line has only one path to take, extend that line with that 1 path.
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* If theres an explicit path that leads to a dead end if you take the path, that path has no lines.
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* A 0 always doesn't have a line.
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* A 1 clue adjacent to at least 2 consecutive empties doesn't have a line on the edges boardering the 2 consecutive empties, since if one is filled, the loop cant end and has to extend, breaking the 1 clue, same for 2 clue adjacent to 3 consecutive empties.
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* A 5 clue adjacent to at least 2 consecutive empties must have a line on the edges boardering the consecutive empties, since if one is empty, the other one is empty and it will break the 5 clue, same for the 4 clue adjacent to at least 3 consecutive empties.
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* 2 5 clues at least adjacent to each other and has other non-0 clues in the grid must form the modified classic pattern because you need to place the line in the middle first because it makes a closed link if not, then if the 3 lines of the top and bottom are not given, then one of the 5 clues will fail.
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* A line that is directly pointing to the 5 will tell that the edges adjacent to that 5 and not connect the line are all lines, because if its not met, there will be branching lines.
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* A 2, 3, or 4 clue can have lines separated from each other, keep in mind.
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* Anytime you see the 6 clue (office), its just a 1 cell loop surrounding the loop. (Assuming the puzzle isn't impossible)
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## Solutions
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Each photo shows 10 solutions to the puzzle, click to zoom those puzzles
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Levels 1-10
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Levels 11-20
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Levels 21-30
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Levels 31-40
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Some of these logic will be modified versions of original [Slitherlink](https://www.conceptispuzzles.com/index.aspx?uri=puzzle/slitherlink/techniques) logic, so check those out before looking at hexalink logic.
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Note: images are edited such that visualizations of cross marks are added to make it easier to see.
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When finding new logic, visualizing combinations and if an edge is empty or not. Here are a couple of patterns:
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* If a line has only one path to take, extend that line with that 1 path:
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[[/uploads/hexalink-1.png]]
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* If there is an explicit path that leads to a dead end if you take the path, that path has no lines:
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[[/uploads/hexalink-2.png]]
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* A 0 (tree) always doesn't have lines surrounding it:
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[[/uploads/hexalink-tips-3a.png]]
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As a result, more cross marks can be visualized:
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[[/uploads/hexalink-tips-3b.png]]
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* 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:
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[[/uploads/hexalink-tips-d1.png]]
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Same for 2 (factory) clue consecutively touching the border at least 3 times:
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[[/uploads/hexalink-tips-d2.png]]
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* 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:
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[[/uploads/hexalink-tips-e1.png]]
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Same for the 4 (hotel) clue touching the border at least 3 times in a row:
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[[/uploads/hexalink-tips-e2.png]]
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* Two 5 clues adjacent to each other only has two combinations. Only keeping the common lines gives this pattern:
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[[/uploads/hexalink-tips-f.png]]
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* A 3 (hospital) clue touching the border exactly 3 times in a row has only 2 combinations:
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[[/uploads/hexalink-tips-g.png]]
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Keep in mind that a 2 (factory), 3 (hospital), or 4 (hotel) clue can have lines separated from each other.
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