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trefoil knot (Q168620)

From Wikidata
simplest non-trivial closed knot with three crossings
  • interlaced triquetra
  • closed overhand knot
  • 3a1
  • 3_1
  • 3₁
  • 3a_1
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Language Label Description Also known as
default for all languages
No label defined
    English
    trefoil knot
    simplest non-trivial closed knot with three crossings
    • interlaced triquetra
    • closed overhand knot
    • 3a1
    • 3_1
    • 3₁
    • 3a_1

    Statements

    instance of
    torus knot
    0 references
    chiral knot
    0 references
    prime knot
    0 references
    image
    Blue Trefoil Knot.png
    1,690 × 1,800; 583 KB
    0 references
    video
    Trefoil knot.webm
    13 s, 1,920 × 1,080; 3.25 MB
    media legend
    Trefoil knot, shot at Matemateca IME-USP, Brazil (English)
    Nó de trevo, filmado na Matemateca IME-USP, Brasil (Brazilian Portuguese)
    0 references
    3D model
    Knot-1-2-9-6-20-10-1 low.stl
    5,120 × 2,880; 147 KB
    0 references
    crossing number
    3
    0 references
    Alexander polynomial
    t2−t+1
    1 reference
    stated in
    KnotInfo
    Jones polynomial
    −q4+q3+q
    1 reference
    stated in
    KnotInfo
    Alexander–Briggs notation
    31
    0 references
    Dowker-Thistlethwaite notation
    4,6,2
    0 references
    Dowker-Thistlethwaite name
    3a1
    0 references
    Gauss notation
    {1,−2,3,−1,2,−3}
    0 references

    Identifiers

    Knot Atlas ID
    3_1
    0 references
    Knotinfo ID
    3_1
    0 references
    MathWorld ID
    TrefoilKnot
    subject named as
    Trefoil Knot
    0 references
    nLab ID
    trefoil knot
    0 references
     
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