Generalised Smith-shaded Truchet tiles

thingiverse

A Truchet tile is a square with two opposite corners cut off by quarter-circles. When arranged together in a line, they create visually appealing patterns. You can expand on this concept to any polygon with an even number of sides. Inspired by Colin Beveridge's article "Too Good to Be Truchet," I developed code to generate all possible tiles with a specified number of sides for an online demo. There are four distinct ways to tile a plane using only even-sided polygons: squares, hexagons, combinations of squares and octagons, or mixes of squares, hexagons, and octagons. The bottom edges of the tiles are tapered, primarily for ease of removal from printing plates.