trefoil knot
simplest non-trivial closed knot with three crossings
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trefoil knot
Summary
trefoil knot is a torus knot[1]. It draws 458 Wikipedia views per month (torus_knot category, ranking #1 of 2).[2]
Key Facts
- trefoil knot's video is recorded as Trefoil knot.webm[3].
- trefoil knot's image is recorded as Blue Trefoil Knot.png[4].
- trefoil knot's instance of is recorded as torus knot[5].
- trefoil knot's instance of is recorded as chiral knot[6].
- trefoil knot's instance of is recorded as prime knot[7].
- trefoil knot's Commons category is recorded as Trefoil knots[8].
- trefoil knot's Freebase ID is recorded as /m/0248_0[9].
- trefoil knot's MathWorld ID is recorded as TrefoilKnot[10].
- trefoil knot's nLab ID is recorded as trefoil knot[11].
- trefoil knot's 3D model is recorded as Knot-1-2-9-6-20-10-1 low.stl[12].
- trefoil knot's Alexander polynomial is recorded as t^{2}-t+1[13].
- trefoil knot's Conway polynomial is recorded as z^2 + 1[14].
- trefoil knot's Jones polynomial is recorded as -q^{4}+q^{3}+q[15].
- trefoil knot's maintained by WikiProject is recorded as WikiProject Mathematics[16].
- trefoil knot's Microsoft Academic ID is recorded as 19794929[17].
- trefoil knot's Alexander–Briggs notation is recorded as 3_1[18].
- trefoil knot's Dowker-Thistlethwaite notation is recorded as 4, 6, 2[19].
- trefoil knot's Dowker-Thistlethwaite name is recorded as 3a_{1}[20].
- trefoil knot's Knot Atlas ID is recorded as 3_1[21].
- trefoil knot's Knotinfo ID is recorded as 3_1[22].
- trefoil knot's OpenAlex ID is recorded as C19794929[23].
- trefoil knot's ScienceDirect topic ID is recorded as mathematics/trefoil-knot[24].
- trefoil knot's Gauss notation is recorded as {1, -2, 3, -1, 2, -3}[25].
- trefoil knot's crossing number is recorded as {'amount': '+3'}[26].
Why It Matters
trefoil knot draws 458 Wikipedia views per month (torus_knot category, ranking #1 of 2).[2] It has Wikipedia articles in 15 language editions, a strong signal of global cultural recognition.[27] It is known by 17 alternative names across languages and contexts.[28]