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Boy's surface

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Uploaded by on Aug 24, 2008

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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Education

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Standard YouTube License

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Uploader Comments (ProfessorElvisZap)

  • 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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  • Alien Mathematics 101

  • he has exactly the same voice as Jeff Bridges

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All Comments (10)

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  • nie mam pojęcia co rysował, jakieś jelita?

  • I was playing around today trying to embed the Petersen graph in Boy's surface. The 9+1 rendering just fits right on top of the triple point region, with the central vertex on the opposite side :-) Now onto Clebsch...

  • My head is beginning to hurt.

  • Interesting....

  • Oh My God

  • so just to clarify, is this surface just an extension of the projective plane but done on borromean rings for the boundary of the disks?

  • Now this looks EXTREMELY ADVANCED !!!

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