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Revision as of 08:24, 23 June 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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Further images...
Trefoil/triquetra without outside corners (made from straight lines and 240° circular arcs)
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Triquetra made from circular arc ribbons
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A trefoil near the Hollander York Gallery [4]
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Trefoil depicted in non-threefold form
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3D depiction in non-threefold form
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A hagfish tying itself in a knot to escape capture. [6]
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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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Alternate Valknut depiction
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Simple overhand knot of practical knot-tying
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Mike Hutchings' Rope Trick [8]
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The NeverEnding Story logo is a connected sum of two trefoils. [10]
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Thurston's Trefoil - Figure Eight Trick [11]
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Non-prime (compound) versions
Two trefoils (single-closed-loop version of the "granny knot" of practical knot-tying).
Two trefoils (single-closed-loop version of the "square 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 configurations of two trefoils along a closed loop which are prime, see 8_15 and 10_120. For a configuration of three trefoils along a closed loop which is prime, see K13a248. For a prime link consisting of two joined trefoils, see L10a108.