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Seminar XXIV Final Sessions 1 - Lacan in Ireland

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proceed to this double cut, a double cut which has the result of determ<strong>in</strong><strong>in</strong>gthis double Moebius strip.I drew this figure very badly for you. Thanks to Gloria, I am go<strong>in</strong>g to try todraw it better: here is how it ought to be drawn. I do not know if you see italtogether clearly, but it is certa<strong>in</strong> that the Moebius strip is redoubled <strong>in</strong> theway you see here. This is the po<strong>in</strong>t at which I am not really very satisfiedabout what I am <strong>in</strong> the process of show<strong>in</strong>g you. I mean, s<strong>in</strong>ce I spent thenight cogitat<strong>in</strong>g on this bus<strong>in</strong>ess of the torus, I cannot say that what I amgiv<strong>in</strong>g you here is very satisfy<strong>in</strong>g.What appears as a result of what I called this double Moebius strip which Iam ask<strong>in</strong>g you to put to the test, a test which you can experiment with <strong>in</strong> asimple way, with the simple condition of tak<strong>in</strong>g two sheets of paper anddraw<strong>in</strong>g on them a capital S, someth<strong>in</strong>g like the follow<strong>in</strong>g.Be careful because this capital S demands tobe drawn first with a small curve and thenwith a big curve. Just here the small curveand afterwards the big curve. If you cut outtwo of them on a sheet of double paper, youwill see that by fold<strong>in</strong>g the two th<strong>in</strong>gs thatyou will have cut onto a s<strong>in</strong>gle sheet ofpaper, you will naturally obta<strong>in</strong> a junction of the number 1 sheet of paperwith the number 2 sheet of paper, and of the number 2 sheet of paper withthe number 1 sheet of paper, namely, that you will have what I designatedjust now as a double Moebius strip. You can easily note that this doubleMoebius strip is cut – if I can express myself <strong>in</strong> this way – <strong>in</strong>differently. Imean that what here is above, then passes beneath, then subsequently hav<strong>in</strong>gpassed beneath repasses above. It is a matter of <strong>in</strong>difference to make passwhat first of all passed above, one can make it pass below. You will noteeasily that this double Moebius strip functions <strong>in</strong> either case.27

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