Joan Taylor's TilingsSquare tilings  

 To see a bigger
image left click on the small image. To obtain a high definition image
left click on "PDF" below the small image. Brick tiling. This tiling was inspired by Conway and Radin's pinwheel tiling, the patterns of bricks are nonperiodic. ThueMorse tiling. This 2D version produces the famous sequence along the axes indicated by the arrows at the sides of the drawing. A substitution scheme is given in the top margin. Check tiling. This is another simple substitution tiling based on the square. 4 Coloured squares tiling. The substitution scheme is given for Green, Red, Purple and Blue at the top of the page. Square mirror tiling. Taking black and white as mirror images, this tiling could be considered a single tile tiling, as could the ThueMorse tiling. Boot tiling. Again, the Boot tiling can be considered single tile. So many of these variants were tried in an effort to find matching rules to force the patterns  but to no avail. Preliminary square tiling. This is the basic structure of what was later the 2 Square tiling or also known as the Trilobite and Cross tiling of C. GoodmanStrauss. Squares in squares and Squares variant. Anther single tile interpretation is possible here if the colours are considered chiral The two tile interpretation is straight forward for Squares in squares and tiles of Squares variant can be interpreted as rotations and reflections of a single tile. Flowing world and Flowing world tiles. This tiling is interesting for the tiles being restricted by side colours into translationonly positions in th tiling. 