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:
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.
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:
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?
python3 -c 'import random, time, itertools; any(time.sleep(0.01) or print(random.choice("\u2571\u2572"), end="", flush=True) for x in itertools.repeat(None))'
A particularly nice example - https://www.shadertoy.com/view/4td3zj
And a nice '3D' one - https://www.shadertoy.com/view/4lSBzm
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...
These are really useful for subtle background patterns on footers etc.
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
It's a shame that regular octagons do not tile the plane. Octagons + squares might work I suppose.
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?
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.
https://www.youtube.com/watch?v=MVQJykMJSH0
(how about this fancy version with SVG output? :D No longer a single line though.)