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{{Knot View Template| |
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image = DylansTrefoil_120.jpg | |
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image = Blue Trefoil Knot.png | |
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text = Thurston's Trefoil - Figure Eight Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/TrefoilFigureEight/index.html]| |
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<div class="NavFrame"><div class="NavHead">Further images...</div> |
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<div class="NavFrame"><div class="NavHead">Further images...</div> |
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<div class="NavContent"> |
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<div class="NavContent"> |
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{| style="background: transparent;" |
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{| style="background: transparent;" |
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image = Trefoil-triquetra-circular-arcs-around-triangle.png | |
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text = Ribbons (straight lines and 2/3 circles)| |
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image = Triquetra-Vesica.png | |
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text = Ribbons (circular arcs)| |
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image = Triquetra-tightly-knotted.png | |
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text = Tightly-knotted form| |
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image = Vodicka triquetra.png | |
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text = Celtic| |
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image = Auryn_120.gif | |
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image = DylansTrefoil_120.jpg | |
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text = Thurston's Trefoil - Figure Eight Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/TrefoilFigureEight/index.html]| |
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text = The NeverEnding Story is a connected sum of two trefoils. [http://www.thealmightyguru.com/Reviews/NeverendingStory/NeverendingStory.html]| |
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image = KenyanStone_160.jpg | |
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image = KenyanStone_160.jpg | |
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text = A Kenyan Stone [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KenyanStone.html]| |
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text = A Kenyan Stone [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KenyanStone.html]| |
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image = Trefoil-triquetra-circular-arcs-around-triangle.png | |
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text = Ribbons (straight lines and 2/3 circles)| |
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image = Triquetra-Vesica.png | |
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text = Ribbons (circular arcs)| |
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image = Triquetra-tightly-knotted.png | |
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text = Tightly-knotted form| |
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image = Vodicka triquetra.png | |
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image = RopeTrick_160.jpg | |
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image = RopeTrick_160.jpg | |
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text = Mike Hutchings' Rope Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/RopeTrick/index.html]| |
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text = Mike Hutchings' Rope Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/RopeTrick/index.html]| |
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}} |
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{{Knot View Template| |
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image = Auryn_120.gif | |
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text = The NeverEnding Story logo is a connected sum of two trefoils. [http://www.thealmightyguru.com/Reviews/NeverendingStory/NeverendingStory.html]| |
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}} |
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Revision as of 23:47, 22 March 2010
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]
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A knot consists of two harts in Kolam [2]
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A basic form of the interlaced Triquetra; as a Christian symbol, it refers to the Trinity
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Ribbons (straight lines and 2/3 circles)
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A trefoil near the Hollander York Gallery [4]
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Thurston's Trefoil - Figure Eight Trick [6]
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A hagfish tying itself in a knot to escape capture. [8]
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One version of the Germanic "Valknut" symbol
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In the form of an architectural trefoil
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Mike Hutchings' Rope Trick [10]
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The NeverEnding Story logo is a connected sum of two trefoils. [11]
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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 "granny knot" of practical knot-tying).
Three trefoils (symmetrical).
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.
For a configuration of two trefoils along a closed loop which is prime, see 10_120.