Generating the P3 Tiling

HOMEBLOGRSSGenerating the P3 Tiling2026-06-28Have you heard of Penrose tilings? Today, I want to describe one algorithm you can use to generate them. My hope is that this article will serve as necessary background material for some future subjects I have in mind, the details of which I'll leave in suspense for now. Introduction to Tilings What's a tiling, in the first place? Mathematicians call any pattern that covers the 2D plane with no gaps a tiling of the 2D plane. For example, imagine a che