Truchet Tiles

Truchet tiling is a staple of the shader community - https://www.shadertoy.com/results?query=Truchet

A particularly nice example - https://www.shadertoy.com/view/4td3zj

And a nice '3D' one - https://www.shadertoy.com/view/4lSBzm

Using multi-level Carlson Truchet tiles for half-toning images: https://nedbatchelder.com/blog/202208/truchet_images.html

some truchet tiles i did for a plotter a million years ago:

hex:

https://www.instagram.com/p/B2TRmM7p1BB

https://www.instagram.com/p/B2Q130pJwum

rectangular:

https://www.instagram.com/p/BxUMO05p3Cx

https://www.instagram.com/p/BxO1H3cJ57V

Reminds me of this, created by one of the tailwind guys: https://heropatterns.com/

These are really useful for subtle background patterns on footers etc.

Wow, Wikipedia is pretty minimal in giving examples. Clicking through various links in comments for more examples should be considered mandatory (though many of the 3D ones are actually "some effect on top of Truchet").

I suppose I don't normally think about how you're actually using minimal Truchet tiles when you play one of SGT's puzzle games, since it's the most boring tileset:

https://www.chiark.greenend.org.uk/~sgtatham/puzzles/js/slan...

I use a lot of truchet tiles in my art (https://andrewwulf.com), but I color them afterwards, which seems fairly uncommon (article from last year, https://thecodist.com/my-art-and-color-after-tiling/) outside of shaders. I focus on 2d art for print. I also use various combinations of 1x1, 1x2, 2x2, 3x3 and 4x4 tiles, sometimes all in one work.

"Scramble Squares" is a card-tiling puzzle which looks like a specialized form of Truchet Tiling.

https://scramblesquares.com

There are 9 square (non-identical) tiles in a set. Each edge of each tile displays half of a two-sided symbol (eg cats, dogs, flags, etc.). Goal is to arrange the tiles in a 3x3 grid so that all touching edges match with corresponding symbol halves.

Looks simple at first, but a real challenge.

Size of the entire solution space is 9! * 4^9 (billions), and brute-force solvers have been written in Python:

https://github.com/roadfoodr/scramble-squares-solver

What are the combinatorial rule(s) used to construct these tiles ?? Some clues: https://www.reddit.com/r/puzzles/comments/1e09up6/help_how_t...

Kathie Gavin (designer of Scramble Squares) says the design was inspired by "ancient Egyptian tile patterns" she saw in a museum. Does anyone know more about this?

We have this card-tiling game based on this idea.

https://www.ravensburger.us/en-US/products/games/thinkfun/iz...

It's not a great game, but it's fun enough. The box is small, so we keep it around even if we don't play it much.

I need some of these mathematical tiles to be available as physical ceramic tiles for nerdy backsplashes and bathrooms.

These are also good to avoid tiling textures having a https://en.wikipedia.org/wiki/Moir%C3%A9_pattern. Just do a randomized labyrinth per square and voila.

8-Bit Show and Tell recently did a video about Truchet Tiles on PETSCII. Fun watch:

https://www.youtube.com/watch?v=MVQJykMJSH0

not sure why this is on top of the feed but i appreciate it ! Is there a website where you can draw on the truchet tiles live ? would be cool