Truchet tiles

[1][2] The tile originally studied by Truchet is split along the diagonal into two triangles of contrasting colors.

Some examples of surface filling made tiling such a pattern.

With a scheme: With random placement: A second common form of the Truchet tiles, due to Smith (1987), decorates each tile with two quarter-circles connecting the midpoints of adjacent sides.

[1] A labyrinth can be generated by tiles in the form of a white square with a black diagonal.

Nick Montfort considers the single line of Commodore 64 BASIC required to generate such patterns - 10 PRINT CHR$(205.5+RND(1)); : GOTO 10 - to be "a concrete poem, a found poem".

A labyrinth generated from diagonal tiles