Truchet Tiles

Background

Truchet tiles were first described by Sébastien Truchet in 1704. The quarter circle tiles used here were introduced by Smith in 1987.

This blog post provides a nice description of generalized Truchet tiles, introducing the bridge tile we use here as well.

Task

Implement the truchet_tiles function to recreate the following graphic.

Implement the Basic Tile

This tile can occur in two different rotations:

Major:

Minor:

Implement the Bridge Tile

Tiling

Now produce a function that composes a matrix of tiles.

Extensions

If you'd like, follow the blog post and implement the different moves to evolve a tiling:

• Type 0A rule
• Type 0B rule
• Reidemeister move 1
• Reidemeister move 2
• Reidemeister move 3

You could also do two-color the tilings.