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 ...

With strategically used patterns, a room can be styled particularly elegantly. Certain patterns are even indispensable for ...

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 ...

Each week, Mansion Global tackles a topic with an elite group of designers from around the world who work on luxury properties. This week we look at how to use geometric shapes in your home’s decor.

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 ...

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 ...