Hofstetter-4fold (plain)
The Viennese Artist Hofstetter Kurt found a new iteration method that produces aperiodic tilings. The idea is illustrated in the figure below: one starts with a single square tile of edge length one. A second square tile of the same size is put below the first one, such that its SW corner is located at the midpoint of the first one. (The idea is that the first tile covers a part of the second tile.) Then a third tile is put below the second one, such that it’s NW corner is located at the centre of the second tile.
P Adic Windowed Tiling
Polytopal Tiles