Through discussion with fellow geometers, it seems there is a need for a simple resource showing the steps for drawing all eight semi-regular tilings of the plane using a ruler and compass, so I have compiled the methods presented here. There are, of course, many other ways to approach these tilings depending on your requirements. You can find sequential diagrams below, however if you enjoy print media or would like to support my work and help me fund further book projects, you can purchase a printed booklet version (with free UK delivery).
These tilings underpin many geometric patterns and are essential to understand if not always necessary to construct. If you need help constructing the hexagon and square you can refer to my earlier blog post about constructing regular grids with ruler and compass.(more…)