3 1 Further Notes and Views: Difference between revisions

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{| style="background: transparent;"
{| style="background: transparent;"
|- valign=top
{{Knot View Template|
{{Knot View Template|
image = RopeTrick_160.jpg |
image = RopeTrick_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/RopeTrick/index.html |
text = Mike Hutchings' Rope Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/RopeTrick/index.html]|
text = Mike Hutchings' Rope Trick |
}}
}}
{{Knot View Template|
{{Knot View Template|
image = DylansTrefoil_120.jpg |
image = DylansTrefoil_120.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/TrefoilFigureEight/index.html |
text = Thurston's Trefoil - Figure Eight Trick [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/TrefoilFigureEight/index.html]|
text = Thurston's Trefoil - Figure Eight Trick |
}}
}}
{{Knot View Template|
{{Knot View Template|
image = KenyanStone_160.jpg |
image = KenyanStone_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KenyanStone.html |
text = A Kenyan Stone [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KenyanStone.html]|
text = A Kenyan Stone |
}}
}}
|-
{{Knot View Template|
{{Knot View Template|
image = KnottedBox_160.jpg |
image = KnottedBox_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KnottedBox.html |
text = A Knotted Box [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KnottedBox.html]|
text = A Knotted Box |
}}
}}
|- valign=top
{{Knot View Template|
{{Knot View Template|
image = HollanderYork_160.jpg |
image = HollanderYork_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/HollanderYork.html |
text = A trefoil near the Hollander York Gallery [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/HollanderYork.html]|
text = A trefoil near the Hollander York Gallery |
}}
}}
{{Knot View Template|
{{Knot View Template|
image = KnottedPencil_160.jpg |
image = KnottedPencil_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KnottedPencil.html |
text = A Knotted Pencil [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/KnottedPencil.html]|
text = A Knotted Pencil |
}}
}}
|-
{{Knot View Template|
{{Knot View Template|
image = Auryn_120.gif |
image = Auryn_120.gif |
link = http://www.thealmightyguru.com/Reviews/NeverendingStory/NeverendingStory.html |
text = The NeverEnding Story is a connected sum of two trefoils. [http://www.thealmightyguru.com/Reviews/NeverendingStory/NeverendingStory.html]|
text = The NeverEnding Story is a connected sum of two trefoils. |
}}
}}
{{Knot View Template|
{{Knot View Template|
image = CaixaGeral_160.jpg |
image = CaixaGeral_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Talks/Oporto-0407/KnotsInLisboa.html |
text = Logo of Caixa Geral de Depositos, Lisboa [http://www.math.toronto.edu/~drorbn/Talks/Oporto-0407/KnotsInLisboa.html]|
text = Logo of Caixa Geral de Depositos, Lisboa |
}}
}}
|- valign=top
{{Knot View Template|
{{Knot View Template|
image = BancoDoBrasil_160.jpg |
image = BancoDoBrasil_160.jpg |
link = http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/BancoDoBrasil.html |
text = Banco Do Brasil [http://www.math.toronto.edu/~drorbn/Gallery/KnottedObjects/BancoDoBrasil.html]|
text = Banco Do Brasil |
}}
}}
|-
{{Knot View Template|
{{Knot View Template|
image = hagfish-knotting.gif |
image = hagfish-knotting.gif |
link = http://oceanlink.island.net/oinfo/hagfish/hagfish.html |
text = A hagfish tying itself in a knot to escape capture. [http://oceanlink.island.net/oinfo/hagfish/hagfish.html]|
}}
text = A hagfish tying itself in a knot to escape capture. |
{{Knot View Template|
image = Triquetra-Vesica-solid.png |
text = A basic form of the interlaced Triquetra; as a Christian symbol, it refers to the Trinity|
}}
{{Knot View Template|
image = Valknut-Symbol-triquetra.png |
text = One version of the Germanic "Valknut" symbol|
}}
}}
|}
|}


[[Image:Triquetra-Vesica-solid.png|200px|thumb|left|A basic form of the interlaced Triquetra; as a Christian symbol, it refers to the Trinity]]
[[Image:Valknut-Symbol-triquetra.png|200px|thumb|left|One version of the Germanic "Valknut" symbol]]
<br clear=left>
<br clear=left>

Revision as of 17:13, 27 March 2006

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 [11]:

Mike Hutchings' Rope Trick [1]
Thurston's Trefoil - Figure Eight Trick [2]
A Kenyan Stone [3]
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]
Logo of Caixa Geral de Depositos, Lisboa [8]
Banco Do Brasil [9]
A hagfish tying itself in a knot to escape capture. [10]
A basic form of the interlaced Triquetra; as a Christian symbol, it refers to the Trinity
One version of the Germanic "Valknut" symbol