Geometric stars and girih: 16-fold: geometric star pattern
Draw a true girih patch from its five tiles, or a star pattern on regular polygons, then download a seamless repeat, a stencil and a wall panel.
The repeat, tiled to fill the square.
Original constructions. These are geometric star patterns on 16-sided polygons, with one extra shape, not a regular polygon, filling each gap. They aren't girih, which uses a specific set of five tiles.
Sources
- Peter J. Lu and Paul J. Steinhardt, Decagonal and Quasi-Crystalline Tilings in Medieval Islamic Architecture, Science 315, 2007. Background on the five girih tiles behind the 10-fold option of the star maker. The layout itself was found by computer search and doesn't come from this paper.