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edge and corner matched tilesets

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Layouts of 2-edge tileset

A layout consists of a single complete tileset arranged in an array. In this case, a 4x4 array is used.
Shown below is the result of an exhaustive search of all arrangements of a 2-edge tileset where all paths are connected. Reflections and rotations have also been removed.

Tile-15 is placed in the same grid position in each layout. There are then 7 different positions for tile-0. This helps catagorise the 51 layouts.

Tile0 @ position 0, 10, 15





































Tile0 @ position 2







































Tile0 @ position 3





























































Tile0 @ position 7, 11






















 

If the maze paths are not confined and can wrap the stage borders then there are a few symmetrical solutions. Edge 3 and Edge 4 produce a connected maze, with the last solution both symmetrical and connected. It is similar to the unique Brigid's Cross solution for a 2-corner tileset.

Edge 1
tile tile tile tile
tile tile tile tile
tile tile tile tile
tile tile tile tile
Edge 2
tile tile tile tile
tile tile tile tile
tile tile tile tile
tile tile tile tile
Edge 3
tile tile tile tile
tile tile tile tile
tile tile tile tile
tile tile tile tile
Edge 4
tile tile tile tile
tile tile tile tile
tile tile tile tile
tile tile tile tile

Stage: Edge 1 and Edge 4 overall patterns

Overall edge patterns

Wang Tiles | cr31.co.uk | 2017