We still haven't proven whether every possible three-dimensional knot can be distinguished from every other knot using only a finite, computable set of properties.
open
Mathematics & Logic
While many invariants help distinguish specific knots, no single finite and fully general method has been proven to work for absolutely every possible pair of knots. This remains a central unresolved question in the mathematical study of knots.
Team Humans Club. (2026). Problem WS01281: We still haven't proven whether every possible three-dimensional knot can be distinguished from every other knot using only a finite, computable set of properties.. World Solve. Retrieved 20 Jul 2026, from https://worldsolve.org/index.php?id=1281