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Boy's surface

ProfessorElvisZap ProfessorElvisZap·283 videos
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Uploaded 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)

  • ProfessorElvisZap

    ProfessorElvisZap 4 years ago

    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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Top Comments

  • intellectable

    intellectable 2 years ago

    Alien Mathematics 101

    · 4

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  • Rok Špoljar

    Rok Špoljar 2 years ago

    he has exactly the same voice as Jeff Bridges

    · 4

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Video Responses

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All Comments (13)

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  • NolavAvaloN

    NolavAvaloN 2 weeks ago

    i'm drawing this all out along with you

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  • Unkn0wnumb3rs

    Unkn0wnumb3rs 6 months ago

    dafuq did I just watch 0_o

    my mind has completely melted

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  • VONUNTERHUSTER

    VONUNTERHUSTER 7 months ago

    at 02.04 you wrote z=0 on the wrong plane.

    nevertheless, very nice video.

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  • bachus918

    bachus918 2 years ago

    nie mam pojęcia co rysował, jakieś jelita?

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  • hidenorivideo

    hidenorivideo 2 years ago

    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...

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  • kaveena1000

    kaveena1000 2 years ago

    My head is beginning to hurt.

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  • Uhiwaka82

    Uhiwaka82 3 years ago

    Interesting....

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  • tenforce

    tenforce 3 years ago

    Oh My God

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