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
see it here, namely, someth<strong>in</strong>g that one usually flattens out, but from what iscalled a tetrahedron.A tetrahedron is drawn like that. Thanks to that, there are 1, 2, 3, 4, 5, 6 edges(arêtes). I should say that the prejudices that I had – because it is a matter ofnoth<strong>in</strong>g less – pushed me to operate with the four faces, and not with the sixedges, and with the four faces it is quite difficult, it is impossible to make a plait.There must be six edges there to make a correct plait<strong>in</strong>g and I would like to seethese balls carry<strong>in</strong>g the outl<strong>in</strong>e of the schema, com<strong>in</strong>g back [balls thrown <strong>in</strong>to theaudience]. The fact is that you will note there that the plait<strong>in</strong>g, not six-fold buttwelve-fold, is altogether fundamental. I mean that, what happens is that onecannot br<strong>in</strong>g <strong>in</strong>to play this knott<strong>in</strong>g of tetrahedrons without start<strong>in</strong>g, s<strong>in</strong>ce thereare only three tetrahedrons, without start<strong>in</strong>g from the plait. It was a fact that wasunveiled to me rather late, and which you will see here provided I pass you theseballs which, I repeat, I would like to see com<strong>in</strong>g back, because I have not, far fromit, fully elucidated them,. I am go<strong>in</strong>g therefore, as I usually do, to throw them toyou so that you can exam<strong>in</strong>e them.I would like all four of them to be sent back. In effect, they are not similar. Thereare four of them, and there is a reason for that. It is a reason that I still have notmastered. It is preferable, even though of course that would take too much time,it would be preferable, that these balls should be compared one to the other, forthey are effectively different. I would like that, from this threefold plait which isbasic <strong>in</strong> the operation of these tetrahedric Borromean knots to which, I repeat, Iapplied myself without really completely manag<strong>in</strong>g them, I would like you to drawa conclusion. The fact is that, even for the tetrahedrons <strong>in</strong> question, one51
- Page 1: Seminar 1: Wednesday 16 November 19
- Page 5 and 6: after all noticed that to consist m
- Page 7 and 8: It would be enough for you to take
- Page 9 and 10: There had therefore been a turning
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- Page 43 and 44: short I called the discourses; the
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- Page 88 and 89: Alain Didier Weill, for his part, i
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I remind you that the place of semb
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this term in the feminine, since th
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which coincides with my experience,
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and to put that for you in black an
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see, does not see too great an inco
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that exists, he says what he believ
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In short, one must all the same rai
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particular besides, neurotic, a sex
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functioning as something else. And
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mean to deny? What can one deny? Th
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slipping from word to word, and thi
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Seminar 12: 17 May 1977People in th
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y writing. And writing only produce
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not pinpointed it? He calls this a