The Hat: A Newly Discovered "Ein-stein" Tessellation Tile

The Art of Mathematics - A podcast by Carol Jacoby

Jeanne Lazzarini, who has visited us before to talk about tessellations, discusses a new mathematical discovery that even earned a mention on Jimmy Kimmel. It's a shape that can be used to fill the plane with no gaps and no overlaps and, most remarkably, no repeating patterns.