Below is some work from my ongoing thesis : The Soft Grid, which is an investigation into the spatial organizations of architecture through the lens of gridding systems.
This video demonstrates the running of an algorithm that I’m developing which tiles the plane using parallelogram shaped units. In this case, there are ten different tiles generated from five vectors. You can see the program putting the tiles down in a blob shape and retracing its steps whenever there is a conflict resulting from tiles bumping into one another. The red concentric tree is a representation of the data structure that is being used and the blue meshwork is a designation of adjacency, which is a fundamental aspect of a gridding system.
I will be posting more on my thesis as it develops.