The Final Braid Puzzle Solved | Science News

For nearly 100 years, mathematicians chased a brainteaser about braids—woven strands that hide deep mathematical secrets. Werner Burau’s 1930s question: Could translating braids into matrices lose information? became a decades-long obsession for Joan Birman, who turned her grandmother’s knitting into a lifelong quest. While braids with five or more strands were proven unfaithful, the four-strand case remained stubbornly unsolved. Now, at 99, Birman and her collaborators cracked it with a bold new geometric method, proving that complexity erodes uniqueness—and closing a century-old chapter in knot theory. Listen in comfort:Get a discount on a Soli Pillow: http://solipillow.com/discount/dnn. Advertise on DNN:[email protected] This is an automated, high-level news summary based on public reporting.Report issues to [email protected]. View sources & latest updates:https://sources.thednn.ai/ab67d8001b566793