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Trefoil knot |
In knot theory, the trefoil knot is the simplest nontrivial knot. It can be obtained by joining the loose ends of an overhand knot. A trefoil knot is the unique prime knot with three crossings. Mathematically, it can be described in many variants. HistoryThe symbol of the trefoil knot has known from ancient times as triquetra. Triquetra is a work derived from Latin tri- (three) and quetrus (cornered). Its original meaning was simply "triangle" and it has been used to refer to various three-cornered shapes.
The triquetra has been found on rune stones in Northern Europe and on early Germanic coins. (See also images of Borromean rings on rune stones)
Also, the triquetra is often found in Celtic art. While it is uncertain what the symbol may have meant to the Celts, it is often found as a design element in larger drawings of triskeles or triple spirals. Later, the symbol was used by Christians as a symbol of the Trinity (Father, Son and Holy Spirit). Nowadays, the triquetra has been used in various logos. A triquetra is one of the four symbols on the cover of the Led Zeppelin album, "Led Zeppelin IV", where it used as the personal symbol of bassist John Paul Jones. ArtTrefoil knots has frequently used in art. Dutch artist M.C. Escher shown three versions of the knot on his lithograph "Knots". On of them is a kind of Möbius strip.
There's sculpture of the trefoil knot the Hollander York Gallery, on Toronto's Yorkville Avenue.
Derived variationsTrefoil knot can be easely transformed into Möbius strip as you can see on the photo of sculpture by Carlo H. Séequin.
The smooth shape of the trefoil knot can be transormed into the figure with straight lines and formed into impossible figure like Penrose tribar.
Appendix. Artistic examples of the trefoil knot
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