Researchers have identified a new way to classify textiles by looking at the topology of their yarn patterns, using a doughnut-shaped framework to study how loops and strands are arranged. The approach highlights that fabric behavior depends not just on the yarn material, but also on the way those yarns repeatedly intertwine.
That matters because properties such as stretchiness, flexibility and overall performance can come from structure as much as substance. Knitting, crochet and other textile techniques create distinct looped patterns, and the new method aims to sort those patterns in a more systematic way by focusing on their underlying connections.
The work points to topology as a useful tool for understanding fabrics, treating textile forms as patterns of entanglement rather than only as flat designs. By mapping how yarns pass around and through one another, researchers can compare different fabric types with a common mathematical language.
The result could improve how textiles are analyzed and described across both traditional crafts and materials research. It also suggests that familiar fabrics may reveal new scientific insights when their structure is studied through the geometry of loops, links and repeated interwoven forms.
