I've thought about this a few times, but tbh I don't know enough about human anatomy to know! My main thing is, what about nostrils? Do nostrils increase the number of (topologically nontrivial) holes in a human? I think we can ignore the windpipe and lungs, there should be a homotopy removing them (I think). Same with eyeballs, vaginas, and whatnot. But nostrils? I think those might be topologically nontrivial.
The outer ear ends at the eardrum, so I don't think it's topologically significant either. That said, the nostrils and mouth absolutely connect, so you have at least three holes up there.
I think we have five topologically significant holes? Nostrils, mouth, anus, urethra. Nothing else is actually a hole.
How do eye sockets fit into this? Aren't there openings between the skull and outside, technically, even though intraocular muscles or whatever usually keep the eye in an airtight position in the socket?
I've thought about this a few times, but tbh I don't know enough about human anatomy to know! My main thing is, what about nostrils? Do nostrils increase the number of (topologically nontrivial) holes in a human? I think we can ignore the windpipe and lungs, there should be a homotopy removing them (I think). Same with eyeballs, vaginas, and whatnot. But nostrils? I think those might be topologically nontrivial.
I was just making a joke about how many things are torus? Toruses? Tori?
Why have you been thinking about this
Oh! I forgot about ears! Really, the whole sinus situation is complicated and I have no idea what's happening in our weird-ass skulls
The outer ear ends at the eardrum, so I don't think it's topologically significant either. That said, the nostrils and mouth absolutely connect, so you have at least three holes up there.
I think we have five topologically significant holes? Nostrils, mouth, anus, urethra. Nothing else is actually a hole.
mouth-anus is one hole. nostrils and mouth form like a Y shape and i don't know enough math to name that kind of system
Sorry, I should've said we have five significant orifices. You're right that mouth-anus is one hole.
How do eye sockets fit into this? Aren't there openings between the skull and outside, technically, even though intraocular muscles or whatever usually keep the eye in an airtight position in the socket?
Well, if we're saying that tissue blocking the way doesn't count, then we have a whooole lot of holes.
https://www.youtube.com/watch?v=egEraZP9yXQ
Fun fact humans humans topologically look something like a menorah.