This project is an extension of our pieces, Apophenia and Paper Cut. We wanted to continue to explore the depths of Truchet patterning but with more possibilities for complexity. So we designed new tiles and this time we divided each side into 9 instead of the previous 5 and 7 repsectively. We also made dodecahegons as

With nine divisions on each side there are a few ways of colouring that work. We opted for a four colour palette, with 1,2,3,4,1,4,3,2,1 pattern like this:

Here are some of the dodecagons, hexagons, squares and triangles we made:

When we began creating tessellation patterns with these we found that they were beautiful and intriguing but also quite static. We wanted to introduce some movement, some journey into the work. We created another kind of tile. While the original tiles were specifically designed to hide the underlying structure, these new tiles were designed to emphasize it. We called the original tiles 'chaotic' and the new tiles 'ordered'.

We divided our canvas into six parts, horizontally or vertically and assigned different probabilities of each kind of polygon appearing in each part so that, for example, one side of the canvas would be entirely chaotic tiles and the other entirely ordered with mixed amounts of each in between.

For the palettes, to increase variety, we decided to have sets of seven colours, 3 darker, 3 lighter and a border colour. We added the interactivity that would allow the viewer to randomise how the colours were picked so that a single palette can give quite different and yet harmonious results:

We also wanted people to be able to see more of the chaotic pattern if they wanted to so we added interactivity to switch between all ordered, all chaotic and mixed:

We added a border, which is also removable. The ordered pattern will infinitely tile.

The chaotic pattern also has the potential for infinite tiling. If anyone would like an infinite tile based on their token we would be more than happy to make that for you.

We made 4 different tiling patterns which each have a different combination of dodecagons, hexagons, squares and triangles. The fourth pattern we made did not have any dodecagons in the basic tiling pattern so we added some random ones which gives these rarer pieces a slightly different feel.

Thank you so much for reading. All of my code is available for viewing on fxhash via a right click and 'view source' in live mode. If you have any questions or comments please feel free to contact me @Kusamehewa or Kusamehewa #5288 on Discord.