On a recent yak-shaving exercise, I’ve been playing with Pillow, an imaging library for Python. I’ve been creating some simple graphics: a task for which I usually use PGF or TikZ, but those both require LaTeX. In this case, I didn’t have a pre-existing LaTeX installation, so I took the opportunity to try Pillow, which is just a single
Along the way, I had to create a regular tiling with Pillow. In mathematics, a tiling is any arrangement of shapes that completely covers the 2D plane (a flat canvas), without leaving any gaps. A regular tiling is one in which every shape is a regular polygon – that is, a polygon in which every angle is equal, and every side has the same length.
There are just three regular tilings of the plane: with squares, equilateral triangles, and regular hexagons. Here’s what they look like, courtesy of Wikipedia:
In this post, I’ll explain how I reproduced this effect with Pillow. This is a stepping stone for something bigger, which I’ll write about in a separate post.
If you just want the code, it’s all in a script you can download.