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 ...

For many homeowners, pairing patterns is scary because it can turn into a design nightmare in seconds. Here's how designers make them work.

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 ...

Mathematicians have discovered a single shape that can be used to cover a surface completely without ever creating a repeating pattern. The long-sought shape is surprisingly simple but has taken ...