Free Republic

A nearly 60-year-old mathematical problem has finally been solved. The story began last fall when David Smith, a retired print technician from Yorkshire, England, came upon a shape with a tantalizing property. The life-long tiling enthusiast discovered a 13-sided shape — dubbed the hat — that is able to fill the infinite plane without overlaps or gaps in a pattern that not only never repeats but also never can be made to repeat. This elusive shape is known to mathematicians as an aperiodic monotile or an einstein, a clever pun that takes its name from the German words ein and...

An amateur mathematician in the United Kingdom may have solved a 60-year-old problem in geometry, garnering the attention of researchers. CNN reported David Smith, a retired printing technician, has discovered a shape known as an “einstein,” which can be tiled over a surface without the pattern repeating. The outlet noted mathematicians first began working on this problem in the 1960s. Smith and three coauthors, Joseph Samuel Myers, Craig S. Kaplan, and Chaim Goodman-Strauss, published a paper explaining Smith’s finding. Smith, who says he is “always looking for an interesting shape,” wrote a blog post to serve as a “scrapbook” of...