10.07.2015 Views

Seminar XXIV Final Sessions 1 - Lacan in Ireland

Seminar XXIV Final Sessions 1 - Lacan in Ireland

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the Borromean knot [fig. V-3]. Ifyou have, if you try it twelve times,you have likewise anotherBorromean knot, which Borromeanknot is curiously not visualisedimmediately [Fig. V-4]. It hasnevertheless this character thatcontrary to the first Borromeanknot which, as you have seen justnow, passes above the one that isunderneath, s<strong>in</strong>ce as you see, thered is above the green, underneaththe one that is underneath: that isthe pr<strong>in</strong>ciple from which theBorromean knot derives. It is <strong>in</strong>function of this operation that theBorromean knot holds up.Likewise, <strong>in</strong> a fourfold operation,you will put one above, the other underneath, and <strong>in</strong> the same way you willoperate with underneath the one that isunderneath, you will therefore have a newBorromean knot which represents the one with12 crossovers.What is to be thought of this plait?This plait can be <strong>in</strong> space. There is no reason, <strong>in</strong>any case at the level of the ‘fourfold’ (‘quatresse’)that we cannot suppose it to be entirely suspended. The plait neverthelesscan be visualised <strong>in</strong>sofar as it is flattened out. I spent another period, one thatwas supposedly reserved for holidays, exhaust<strong>in</strong>g myself <strong>in</strong> the same way, <strong>in</strong>try<strong>in</strong>g to make function another type of Borromean knot, namely, one that wouldbe obligatorily made <strong>in</strong> space, s<strong>in</strong>ce what I started from was not the circle as you50

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