An artistic version of the 3-fold version of the 4-fold Hofstetter 4fold tilings. For details see there.

P Adic Windowed Tiling Polytopal Tiles

An artistic version of the Hofstetter 4fold tilings. For details see there.

P Adic Windowed Tiling Polytopal Tiles

A decorated version of the Hofstetter 4fold tilings. This version can be generated by a proper substitution rule. It was shown in [FH15] that this version is aperiodic, as well as limitperiodic. For more details see Hofstetters 4-fold.

P Adic Windowed Tiling Polytopal Tiles

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