Penrose’s Romb tiles, a pair of shapes, essentially rhombs with curved edges enforce a tiling of the plane that can never be periodic. They make a compelling puzzle/game/activity to play with.
The tile designs here were created by David Bailey, as Escherized birds and fish, and initially laser-cut in oak and walnut for the Royal Society Summer Science Exhibition 2009.
The have since had many uses at mathematics events, talks and so on. They pull people in to play!
