Originally posted by PBE6AFAIK the human body (viewed at a sufficiently macroscopic level) is a solid torus, but I'd be interested to see your description.
Does anyone know how many holes the human body has, topologically speaking? I think the answer is 3. Anyone get a different answer? Meet me at this thread in 15 minutes and we'll wrestle until one of us is right.
Originally posted by MIODudeI don't know about you, but baked beans and sausage go right through me.
would any of them be holes? or openings?.. a donut hole goes right through.. if you are shot, and you have a hole , it goes right through you, but.. a body has no holes, unless you have your piercings maybe.. but, there are lots of openings
Originally posted by AThousandYoungThink of an apple where n worms have entered the apple, chewed their way through and come out again, without crossing their own or each others' paths. Say that an solid object is a 'solid torus of genus n' or a 'solid n-holed torus' if (topologically speaking) it looks like what's left of the apple.
What's a "hole"?
Originally posted by AcolyteWait a minute, is that true? A double-torus or figure-eight has 2 rings, each with one "in" and one "out". But a y-tube has 3 "holes", each with one "in" and two "outs". I don't think you can stretch a figure-eight into a y-tube without tearing the surface or eliminating some holes.
I don't know if there's a standard name for a Y-tube - it's homotopy equivalent to a figure-of-eight, if that's any help.