Mathematicians Discover Mesmerizing Shape with Non-Repeating Pattern.

Mathematicians have discovered a new 13-sided shape called "the hat" that can be tiled across a plane to create patterns that never repeat, making it an aperiodic monotile. The hat was identified by a non-professional mathematician and "shape hobbyist" David Smith from the UK. The team has also introduced a new method for proving the existence of future einsteins, where various permutations of the shape are combined to help establish that they can continue on forever without becoming symmetrical in their patterns. The discovery of the hat opens up all kinds of avenues to explore, not least whether or not there is a finite number of aperiodic monotiles out there, waiting to be found.