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===Topology===

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.

It ===Space===The result is a three-dimensional figure that 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 formed by taking a long rectangle of paper and twisting clearly distinguished, but when the whole strip is traversed it once before joining its ends togetherbecomes clear that they are in fact continuous.

==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. =Time=Time==

===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 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]]. =="Traverse the 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 possible to cross over from [[extimacy|inside]] to [[extimacy|outside]].

==="Traverse the 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 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 point one has crossed over from "[[extimacy|inside]]" to "[[extimacy|outside]]" (or vice versa).