Semiregular Truchet Grids

This is a follow-up to semiregular grids. Next, I want to apply Truchet-like tiles to this regular tiling. Just as before, I am specifically interested in non-intersecting curves, so the article on Catalan structures is very relevant here.

Truchet Tiles on n-gons

First, I need to come up with generic ways to generate Truchet tiles for 3-, 4-, 6-, 8-, and 12-gons, since these are all the regular ngons used in planar tilings.

Triangles (3-gons)

I've previously covered this in the triangular truchet grid article.

Two notches per side:

Four notches per side:

Squares (4-gons)

Two notches per side:

Four notches per side:

Hexagons (6-gons)

Two notches per side:

Four notches per side:

Octagons (8-gons)

Two notches per side:

Four notches per side:

Dodecagons (12-gons)

Two notches per side:

Four notches per side:

Two-notch Semiregular Truchet grids

Further ideas to explore

Consider a static random number generator, so that the tiling is not recomputed every time