Mathematical Breakthrough Reveals Complexity in Measuring Knot Untangling
By
baruchel
An everything bagel for the brain. Substantive, layered, well-seasoned.
Summary
This article discusses a mathematical breakthrough in knot theory where two mathematicians have proven that measuring knot complexity is more complicated than previously thought. The research challenges Peter Guthrie Tait's 19th-century approach to measuring "beknottedness" and shows that a straightforward question about knot untangling has unexpectedly complex mathematical answers.
Key quotes
· 4 pulledIn 1876, Peter Guthrie Tait set out to measure what he called the "beknottedness" of knots.
In math, a knot is a tangled piece of string with its ends glued together.
Two knots are the same if you can twist and stretch one into the other without cutting the string.
Two mathematicians have proved that a straightforward question — how hard is it to untie a knot? — has a complicated answer.
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