Keywords: Heesch anisohedral tiling.svg anisohedral tiling based on a tile published in 1935 by Heinrich Heesch There are symmetries of the tiling that take any blue or green tile to any other blue or green tile or that take any red or yellow tile to any other red or yellow tile However there is no symmetry that takes blue to red As Heesch proved every tiling of the plane by copies of this tile has at least two copies that are not symmetric to each other See Heesch H 1935 http //www angelfire com/mn3/anisohedral/heesch2 html Aufbau der Ebene aus kongruenten Bereichen transcription by Berglund with English translation Nachrichten von der Gesellschaft der Wissenschaften zu Göttingen Mathematisch-Physikalische Klasse Neue Folge 1 115 “117 2013-12-20 21 23 23 own David Eppstein cc-zero Uploaded with UploadWizard Monohedral tilings |