Crosscap surface projective object of Lacan

En résumé (grâce à un LLM libre auto-hébergé)

  • The Crosscap is a surface related to the projective plane and has two cuspidal points.
  • It is associated with the concept of 'fundamental fantasy' according to Jacques Lacan.
  • The central cuspidal point of the Crosscap is identical to the other one, according to its polyhedral version.

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Polyhedral Version
The Crosscap.

It is one of the different faces of the projective plane. See

. This surface has two "cusp points", or "umbrellas of

. See also the article, to better understand. The psychoanalyst Jacques Lacan saw in it an image of the "fundamental fantasy" and located "the object a", the "linguistic phallus", on the central cusp point. See "J.P.Petit chez Jacques Lacan".

Enter the Crosscap with a little skill to observe from this point of view the central cusp point and notice that it is identical to the other.