Creatively tiling a bathroom floor isn’t just a stressful task for DIY home renovators. It is also one of the hardest problems in mathematics. For centuries, experts have been studying the special ...

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 ...

Circles, triangles and squares. One of the first things we learn as children are basic geometric shapes. And they stay with us throughout our lives. Maybe it’s that sense of familiarity that makes ...

Looking for a challenging and stimulating activity? Try solving a pattern-based puzzle posted on Instagram by Optical Illusions. The puzzle presents three patterns and asks you to predict the next ...