Node borroméen
In mathematics, a node borroméen consists of three circles (with the topological direction ) which are dependant so as to form a Entrelac brunnien, which means that to remove any of the three circles releases the two others.
Origin and representations
The name owes its name of borroméen with the use which was made by it in the armorial bearings of an Italian family, the Borromée. One finds nevertheless nodes borroméens well before that, such as for example in the Afghan Buddhist art of the second century of the Christian surface or in the symbol of the Valknut in Scandinavia at the 7th century. The nodes borroméens were used in various contexts to symbolize the force and the unit, in particular the religion and arts. In psychoanalysis, it is by the node borroméen that Jacques Lacan chooses to represent the Structure subject.
Open nodes borroméens
One finds also partial nodes borroméens, in which three elements are interlaced of the same manner than in the normal node borroméen, but where these elements are not closed (as on the Pierre de Snoldelev or on the emblem of Diane of Poitiers).
Molecular nodes borroméen
The molecular nodes borroméens are mechanically interlaced molecular architectures. It is into 1997 that Chengde Mao and its laboratory of the university of New York succeed in building a node borroméen with DNA.
Related articles
External bonds
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a page very documented on the nodes borroméens.
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