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.