This little app show you some tilings, centered around a star. Select the count of corners for the center star (minimum 5, maximum 20), then select the tiling mode (3 available, penrose tiling is 5 corners, mode 3) and scale, then select the color mix and tiles. Use random tiling and share images.
Primarily Android, see play store. But now there is also a java version available, see release note in download section for details