3 1 Further Notes and Views

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The trefoil is perhaps the easiest knot to find in "nature", and is topologically equivalent to the interlaced form of the common Christian and pagan "triquetra" symbol [12]:

Logo of Caixa Geral de Depositos, Lisboa [1]
A knot consists of two harts in Kolam [2]
A basic form of the interlaced Triquetra; as a Christian symbol, it refers to the Trinity
Thurston's Trefoil - Figure Eight Trick [3]
Further images...
A Knotted Box [4]
A trefoil near the Hollander York Gallery [5]
A Knotted Pencil [6]
The NeverEnding Story is a connected sum of two trefoils. [7]
Banco Do Brasil [8]
A hagfish tying itself in a knot to escape capture. [9]
One version of the Germanic "Valknut" symbol
A Kenyan Stone [10]
Ribbons (straight lines and 2/3 circles)
Ribbons (circular arcs)
Tightly-knotted form
Celtic
Square depiction
In the form of an architectural trefoil
Polar equation curve.
Mike Hutchings' Rope Trick [11]

Non-prime (compound) versions

  • Two trefoils (single-closed-loop version of the "square knot" of practical knot-tying)

    Two trefoils (single-closed-loop version of the "square knot" of practical knot-tying)

  • Two trefoils (single-closed-loop version of the "granny knot" of practical knot-tying).

    Two trefoils (single-closed-loop version of the "granny knot" of practical knot-tying).

  • Three trefoils (symmetrical).

    Three trefoils (symmetrical).

  • Four trefoils (Celtic or pseudo-Celtic decorative knot which fits in square)

    Four trefoils (Celtic or pseudo-Celtic decorative knot which fits in square)

  • Three trefoils along a closed loop which itself is knotted as a trefoil.

    Three trefoils along a closed loop which itself is knotted as a trefoil.

For a configuration of two trefoils along a closed loop which is prime, see 10_120.


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