Often when describing patterns, they are placed in one of two categories: organic or geometric. Organic designs are ones ...

Combinatorial enumeration and pattern avoidance represent a vibrant area of modern discrete mathematics, where the objective is to count and characterise structures subject to specific constraints.

Katie has a PhD in maths, specializing in the intersection of dynamical systems and number theory. She reports on topics from maths and history to society and animals. Katie has a PhD in maths, ...