Yes, there are infinities of these tiles. https://static.scientificamerican.com/sciam/assets/Image/2023/saw0124Kapl47_d.jpg illustrates some of the continuum (with the caveat that Tile(0,1), Tile(1,0) and Tile(1,1) are exceptional and also support periodic tiling though also a variant of Tile(1,1) with curved edges supports only aperiodic tiling).
-- Raul On Wed, Dec 20, 2023 at 12:17 AM Brian Schott <[email protected]> wrote: > > Regarding possible J code, the following link made me think of a possible > way to create a tile. If I read the accompanying text correctly, there are > two versions of the einstein tile. The left hand version is called "hat"; > the right "turtle". Later comments suggest there are an infinite number of > "similar" einstein tiles. > > https://static01.nyt.com/images/2023/03/28/multimedia/28SCI-TILES-03-wmvf/28SCI-TILES-03-wmvf-jumbo.jpg?quality=75&auto=webp > > The full article link follows. > https://www.nytimes.com/2023/03/28/science/mathematics-tiling-einstein.html > > > > -- > (B=) > ---------------------------------------------------------------------- > For information about J forums see http://www.jsoftware.com/forums.htm ---------------------------------------------------------------------- For information about J forums see http://www.jsoftware.com/forums.htm
