Endless Non-Repeating Math.

Mathematicians have been searching for aperiodic tilings of the plane that cannot have translational symmetry. A breakthrough occurred in the 1970s with the discovery of the famous two-tile set called Penrose tiles. Recently, David Smith discovered the first known aperiodic monotile called the "hat," which was verified by researchers Craig Kaplan, Chaim Goodman-Strauss, and Joseph Samuel Myers. The hat tile comes together to form larger, regular structures, which can be used to understand how it tiles the plane.