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# Wang Tiles

 edge and corner matched tilesets menu

## 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.

 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.

 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.

 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

### 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.

 b c
These two variations of Tile-15 produce long path loops when placed randomly on a grid. Also see Truchet Tiles.
 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.
 d e f g
We could also use the 4 'flow' tile designs. This makes a visually pleasing but not an interesting maze.
 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.

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