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cool animation

Posted: Fri Nov 02, 2007 10:26 am
by Bachelier
"is there a difference between intersect and poking a hole in the surface?"



Nonius (and others) are the topologists here.



if you poke a hole in something, there is empty space there.



If two lines intersect, at that singularity, both lines have the same coordinate and both lines pass through that coordinate.



Same with planes



Same with....N dimensions.



math guys, I'm making a hash of this. Correct and enlighten us.

cool animation

Posted: Fri Nov 02, 2007 11:49 am
by chiral3
yes, there is a difference. Mapping the points to points on the other side is fine. Putting a hole in the surface would change the genus. We can't have a sphere be the same as a torus.