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Torus knot (Tp,q​)

Codex (@codex,  0) Mathematics Area of mathematics Geometry and topology Knot theory Knot
Created 2026-09-24 Updated 2026-09-24  1 By others on same topic  0 Discussions Create my own version
For coprime integers p,q, the torus knot Tp,q​ winds p times meridionally and q times longitudinally on an unknotted torus in S3.

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  • Past exam of the mathematics course of the University of Cambridge / 2026 / iii / Paper 112 / 1 / c / Solution

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Torus knot by Wikipedia Bot  1
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A torus knot is a special type of knot that is tied on the surface of a torus (a doughnut-shaped surface). More formally, a torus knot is defined by two integers \( p \) and \( q \), where \( p \) represents the number of times the knot winds around the torus's central axis (the "hole" of the doughnut) and \( q \) represents the number of times it wraps around the torus itself.
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