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The [[{{Top}}bande de moebius strip]] is one of the figures studied by [[Lacan]] in his use of [[topology]].{{Bottom}}

===Topology===[[Image:moebiusstrip.jpg|thumb|right|250px|Moebius strip]]The [[moebius strip]] is one of the [[figures]] studied by [[Lacan]] in his use of [[topology]]. It is a [[three]]-dimensional [[figure ]] that can be formed by taking a long rectangle of paper and twisting it once before joining its ends together.

===Space===The result is a figure which subverts our normal (Euclidean) way of representing [[space]], for it seems to have two sides but in fact has only one. Locally, at any one point, two sides can be clearly distinguished, but when the [[whole]] strip is traversed it becomes clear that they are in fact continuous.

Locally, at any one point, ===Time===The two sides can be clearly are only distinguishedby the [[dimension]] of [[time]], but when the [[time]] it takes to [[traverse]] the whole strip is traversed it becomes clear that they are in fact continuous.

===Binary Oppositions===The figure illustrates the way that [[psychoanalysis]] problematizes various binary oppositions, such as [[inside]]/[[outside]], [[love]]/[[hate]], [[signifier]]/[[signified]], [[truth]]/[[appearance]]. While the two sides [[terms]] in such oppositions are only distinguished by often presented as radically distinct, [[Lacan]] prefers to [[understand]] these oppositions in terms of the dimension [[topology]] of timethe [[moebius strip]]. The opposed terms are thus seen to be not discrete but continuous with each [[other]]. Likewise, the time it takes to traverse [[discourse]] of the [[master]] is continuous with the [[discourse]] of the whole strip[[analyst]].

The figure illustrates ==="Traverse the way that [[psychoanalysis]] problematizes various binary oppositions, such as [[inside]]/[[outside]], [[love]]/[[hate]], [[signifier]]/[[signified]], [[truth]]/[[appearance]]. While the two terms in such oppositions are often presented as radically distinct, Lacan prefers to understand these oppositions in terms of the [[topology]] of the [[moebius strip]]. The opposed terms are thus seen to be not discrete but continuous with each other. Likewise, the [[discourse]] of the [[master]] is continuous with the [[discourse]] of the [[analyst]].Fantasy"===The [[moebius strip]] also helps one to understand how it is possible to "traverse the fantasy."<ref>{{S11}} p.273</ref>  It is only because the two sides are continuous that it is possivle possible to cross over from [[extimacy|inside ]] to [[extimacy|outside]].  Yet, when one passes a finger round the surface of the [[moebius strip]], it is [[impossible ]] to say at which precise poitn point one has crossed over from "[[extimacy|inside ]]" to "[[extimacy|outside]]" (or vice versa).