This infinite tiling pattern could end a 60-year mathematical quest

After 60 years of searching, mathematicians might have finally found a true single aperiodic tile — a shape that can cover an infinite plane and never make a repeating pattern. In March, a team of hobbyist and professional mathematicians found a shape that, together with its mirror image, could be used to build infinite aperiodic tilings. The same team has now modified the shape so it doesn’t need its mirror image to create the never-repeating pattern.