Wang Tiles

 

edge and corner matched tilesets

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1-side Edge Tiles

1-side edge tiles are derived from Wang edge tilesets, by reducing the number of different edges to one. In an edge tileset, an edge path affects one adjacent tile. They are similar to Block tiles, but have a design of maze paths. Like Block tiles, they always match adjacent tiles, without the need for Wang tile calculations.

Here is a complete 2-edge Wang tileset.

Complete 2-edge tileset
tile tile tile tile tile tile tile tile tile tile tile tile tile tile tile tile
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

By adding unconnected dead-end paths to all empty edges with no path, we create a set of 1-side tiles where all sides are the same.

1-side edge tilesets
tile tile tile tile tile tile tile tile tile tile tile tile tile tile tile tile
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15

Tile-15 Variations

And here are a few tile-15 variations, which are always single sided.

Tile-15 edge variations
tile tile tile tile tile tile tile tile tile
a b c d e f g h i

Stage Array

We can place random tiles in an 18 x 12 array. There is no need to calculate tile index values as all tiles have the same side, and will therefore match automatically.

Stage: 1-side Edge Maze Tiles

1-side Edge Tiles

Reduced Tilesets

It is interesting to see the effect of using a small number of 1-side tiles.
Note that paths on corner tiles can either join or cross-over at tile corners. The two types of tile design can lead to different sets of tiles to create a balanced maze.

tile tile
tile tile
b c
These two variations of Tile-15 produce long path loops when placed randomly on a grid. Also see Truchet Tiles.
Random tiling of 2 tiles
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile
b c h i
Adding a balanced pair of pass-under and over tiles helps prevent small single loops from forming. The weaving paths make maze following more interesting.
Random tiling of 4 tiles
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile
d e f g
We could also use the 4 'flow' tile designs. This makes a visually pleasing but not an interesting maze.
Random tiling of 4 flow tiles
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile
tile tile tile tile
7 11 13 14
These tiles make a pleasing pattern when tiled randomly. The variation can apparently be seen in a coffee shop at Madrid Airport.
Random tiling of 4 flow tiles
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile
tile tile tile tile tile tile

See Stage for more random Block tile arrays of 2 and 4 tilesets.

Stage: Madrid Tiles

Maze Tiles

Wang Tiles | cr31.co.uk | 2017