A knot is
a simple closed curve in 3-dimensional space.
does that mean?
Well, a loop like the one at the left is considered
a knot in mathematical knot theory (it is a simple closed curve in
3-dimensional space). In fact this knot has a special name:
The unknot. The
unknot can be
drawn with no crossings, and is also called a
It is the simplest of all knots.
The Borromean knot
So called because
the figure is found on the coat of arms of the Borromeo family,
the Borromean Knot is a group of three rings which are linked in
such a way that if any one of them is cut, all three become
separated. In his late seminars, i.e., from Seminar XX onwards,
Lacan uses the Borromean knot as a way of illustrating the
interdependence of the three orders of the real, the
symbolic and the imaginary. This corresponds to a
rethinking of the relationship between language and the
body in the structuring of the subject.
This borromean knot is very old,
about year 1300
In Roman law, the
borromean knot was a contract between three families or more
which were thus financially dependent. One shared the benefit or
the losses. If one of the families decided to separate from the
others, those ones could not remained bound by the contract and
were obliged to also separate.
How to built
a borromean knot with three rounds of string ?
You pose one round
(1), you pose another round above (2) and the third passes below
that which is below (1) and above that which is above (2).