Tile 1. Truchet.
Truchet tile is not just a seamlessly connectible square. The main feature of Truchet tile is that any tile can be replaced with 4 tiles (inverted and scaled to 1/2) and still stay seamless. In such a way:
Truchet tile is not just a seamlessly connectible square. The main feature of Truchet tile is that any tile can be replaced with 4 tiles (inverted and scaled to 1/2) and still stay seamless. In such a way:
So it is to be placed somewhere between mosaic and fractals.
The additional advantage is that there are 6 different tiles, each one positioned in up to 4 directions, making it possible to create endless variety of patterns.
Some examples:
