Oooh, that's cool. We re-tiled our bathroom recently. I think if I'd chosen an aperiodic monotile I'd have made the builders cry.
An additional article on these, with greater detail. I hope paywall issues are not blocking. Mathematicians have finally discovered an elusive ‘einstein’ tile
Not sure why that post is there...2nd try! Last year, I did a complete bathroom reno in our small bathroom...removed old tub and put in a soaker tub. First, I gutted it...even removed all the sheetrock (had to, anyway, to get that tub to go in) Removed the linoleum from the floor and installed hardie backer board to the floor for the 12x12 tiles. A LOT of work but well worth it...the wife found some great bathroom tile to go over her bathtub from Spain and looks very professional. Best of luck!!
Hah, Bob, knew what it'd be before I clicked. Interesting, looks to be a compilation, four of the yellow highlight:
Polykites, according to the article. A tile made up of multiple kite-shaped elements. Looks to me like 8 kites. Apparently the edge dimensions are not fixed, there is some room for ratio adjustment of the basic tile shape without breaking the infinite aperiodic tiling property. Artists already repainting them as turtles, shirts, hats, ...
Hopefully that tile is just concept-only...would be nightmare to try to install that and get it right! (But complex tile usually comes pre-attached to a backing that helps with installation.) I don't mind laying tile but I do loath plumbing stuff...especially welding copper pipes. (I'm good at it, just don't like it.) When we had our house built, in 2003, one of the plumbers messed up a weld up in the master bathroom and, before we closed, water had leaked down into the basement and ruined a big section of sheetrock on the ceiling but the builders sent a team up to fix it all and, after they were done, you couldn't even tell.
Similar to floor tile you start from the center and work out, then the edges have to get cut to the borders or intersecting walls. The wacky shapes aren't really such a big deal - as the pieces will interlock. Consider the example below ..... not WHY anyone would want a wall of salamanders - but the unique geometry of how PIECES can be designed to fit together; I wonder if our very own salamander King here on PC has this pattern .
LOL...so after a nightmare of a time installing it, yet another nightmare grouting all those odd-angles!! But I guess that's why contractors are picky with what customers they decide to work for...I'd have to tell whoever wanted that installed that I'm not available!