Is it possible to tile a surface with a single shape in such a way that the pattern never repeats itself? In 2022, a mathematical solution to this 'Einstein problem' was discovered for the first time.

Remember the graph paper you used at school, the kind that’s covered with tiny squares? It’s the perfect illustration of what mathematicians call a “periodic tiling of space”, with shapes covering an ...

Infinitely many copies of a 13-sided shape can be arranged with no overlaps or gaps in a pattern that never repeats. David Smith, Joseph Samuel Myers, Craig S. Kaplan and Chaim Goodman-Strauss (CC BY ...

This is the second in a two-part series. Part one can be found here. The debate over what early math should look like and what should be included in the Common Core State Standards for math is one of ...

Nature follows mathematical rules and creates repeating patterns across completely different organisms and environments. These patterns appear so consistently that scientists can predict them, and ...