Einstein aperiodic tilings

In March of 2023, the “Einstein” (German: "one stone") or “the hat” tile was discovered, which allows planar space to be tiled in a non-repeating fashion: this shape can cover a surface without repeating a specific pattern. Such a non-repeating kind of tiling is called “aperiodic tiling,” and it has been a tricky problem in mathematics for quite a long time. This tile was therefore considered to be a “one-in-a-million” shape at the time, and it was thought to be an exceptionally special discovery in mathematics.