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Boy's surface
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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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Uploader Comments (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 2 years ago
Alien Mathematics 101
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Rok Špoljar 2 years ago
he has exactly the same voice as Jeff Bridges
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Video Responses
All Comments (13)
NolavAvaloN 2 weeks ago
i'm drawing this all out along with you
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Unkn0wnumb3rs 6 months ago
dafuq did I just watch 0_o
my mind has completely melted
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VONUNTERHUSTER 7 months ago
at 02.04 you wrote z=0 on the wrong plane.
nevertheless, very nice video.
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bachus918 2 years ago
nie mam pojęcia co rysował, jakieś jelita?
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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 2 years ago
My head is beginning to hurt.
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Uhiwaka82 3 years ago
Interesting....
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tenforce 3 years ago
Oh My God
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