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...
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.
Alien Mathematics 101
intellectable 7 months ago 4
nie mam pojęcia co rysował, jakieś jelita?
bachus918 9 months ago
he has exactly the same voice as Jeff Bridges
MrMalinovc 9 months ago 3
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...
hidenorivideo 1 year ago
My head is beginning to hurt.
kaveena1000 1 year ago
Interesting....
Uhiwaka82 1 year ago
Oh My God
tenforce 2 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.
ProfessorElvisZap 2 years ago
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?
sawunit 2 years ago
Now this looks EXTREMELY ADVANCED !!!
PIGSYMAGICC 2 years ago
What in the world is this?
mrm6906 2 years ago