- 21 Feb '05 20:57

AFAIK the human body (viewed at a sufficiently macroscopic level) is a solid torus, but I'd be interested to see your description.*Originally posted by PBE6***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.** - 22 Feb '05 14:40OK, so what makes a hole? We would probably all say that a donut has 1 hole, and some people might say that a straw has 2 holes, even though they're topologically equivalent. But what about a y-shaped tube? How holes does it have? It seems like the answer should be 3, but does anyone know for sure?
- 22 Feb '05 15:59

I don't know about you, but baked beans and sausage go right through me.*Originally posted by MIODude***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** - 23 Feb '05 16:14 / 1 edit

Think 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.*Originally posted by AThousandYoung***What's a "hole"?**

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. - 23 Feb '05 21:42

Wait 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.*Originally posted by Acolyte***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.**