Two constructions of Boy's immersion of the real projective plane are presented.
One follows out from the triple point, and the other is given in movie form
Two constructions of Boy's immersion of the real projective plane are presented. One follows out from the triple point, and the other is given in movie form
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The Borromean picture is the boundary of the triple point. The surface depicted IS the projective plane, but immersed into 3-space. In the same way the standard picture of the Klein bottle is an immersion of that surface in 3-space. Since neither is orientable (each contains a Mobius band), neither can be embedded, in the way a torus can.
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