Tessellation patterns are found in many quilts, with some being quite detailed and intricate. Take a look at these examples of tessellation quilt designs and learn how you can design your own tessellation quilt pattern.
Researchers proved the existence of a kind of shape that'd only been predicted to exist by theory.
This post explains a Grasshopper study on the generation of Waterbomb Tessellation by using Eric Gjerde's inpirations.
In continuing my interest in geometric art, I've gotten interested in tiles and tiling patterns. One of the simplest patterns is called the Truchet tile. It consists of 4 types of tiles, each with one corner filled in with a right triangle. Below is a picture of the 4 tiles that make up the Truchet set. I wrote a small python function that draws Truchet tiles using the matplotlib plotting library. I've put it in my GitHub repository. If you run the code it produces a bunch of Truchet tile patterns (below). Also you can clone the python functions and play around with them and make up your own tiles. Here is the first pattern. Just a 20x20 grid of random Truchet tiles. I've added in blue gridlines so you can see the individual tiles. Next is an arrangement the follows a particular pattern. This is where it gets interesting. Imagining patterns and drawing them. If you number the four tiles above 1-4, and start at the lower left and work across by row to the upper right, this pattern is a row of 1s, then a row of 2s, then a row of 4s, and finally a row of 3s, and repeat. A variation on the traditional Truchet tile is the two tile set with semi-circles in the corners below. Just sitting there those two tiles look kind of lame, but a grid of these is surprisingly cool. Below is a random 20x20 grid, and again I've marked the gridlines so you can see what's going on. That's pretty fascinating. It's like a maze. One can also apply patterns to these modified Truchet tiles. One examples are below. I'll leave it to you to work out the pattern. Finally, I invented my own new Truchet tile. It's just a simple modification of the two semi-circle pattern, where a line is drawn that connects the semi-circles. Below is a 20x20 random grid of these 2 modified tiles. I think they look cool. You can imagine all kinds of other modifications that might look neat. My guess is that organic patterns, like things that look like leaves or flowers in the corners of the tiles might look really nice. One day I may get around to mocking that up and posting here.
For decades, we have known of only 14 convex pentagons that can do something called "tiling the plane." Now there is a 15th shape, but mathematicians are still far from knowing exactly how many exist.
This post is about how fonts can be used to produce morphing tilings. Some fonts, such as Truchet Tilings, automatically convert letters on the keyboard or on the page into tiles. For example, this…
Islamic parquet deformation as described here [pdf]. I still haven't gotten around to actually finishing the implementation- I'm just playing around with what I've got done so far...
These files are Adobe Acrobat files for printing and using for your own use or for educational purposes. Click here for some suggestions on how to use them. Template tiles to cut out The following …
A-Maze-ing Fun With Truchet Tiles: Maze-like designs like this are easy to make whether you chose to create them for real or in Photoshop. They are a variation on something called Truchet Tiles.
This post explains a Grasshopper study on the generation of Waterbomb Tessellation by using Eric Gjerde's inpirations.
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Morphing tilings are sets of tilings which change from one tiling pattern to another. This can happen in many ways: as a related set of tilings which change like an animation as tilings where the c…
This study develops the parametric model of Islamic patterns using Grasshopper. It creates pattern deformations from these designs.
Islamic parquet deformation as described here [pdf]. I still haven't gotten around to actually finishing the implementation- I'm just playing around with what I've got done so far...
