News archive - April 2023

Thursday, April 13, 2023

A trick of the hat — finding the elusive einstein tile

photo of Professor Craig S. Kaplan holding two einstein tiles

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.

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