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 ...

Introduce children to patterns, and help them learn to recognise the mathematical rules behind them, describe patterns and create their own, with these ideas from Sheila Ebbutt and Carole Skinner ...

A new 13-sided shape is the first example of an elusive "einstein" — a single shape that can be tiled infinitely without repeating a pattern. When you purchase through links on our site, we may earn ...

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 ...

Changes to our understanding of colour theory could boost scientific data visualisations, create more vibrant colour displays and recalibrate the textile and paint ...