Penrose tiling down to one

You may be interested to learn that the Penrose aperiodic tiling, our gorgeous greeting each morning we come to work, comprising two tiles, has now been surpassed, or perhaps undercut is the better way of describing it.

In a new paper, David Smith, Joseph Myers, Chaim Goodman-Strauss and Craig S. Kaplan prove that a polykite that they call "the hat" is an aperiodic monotile, AKA an einstein. They are down to 1.

Roger Penrose himself says: "this is a truly remarkable achievement, obtained by distinctively novel methods."