Is the surface of the body/skin homeomorphic to a torus? This may seem like an odd question, but I'm asking myself if the surface of the body/skin can be made into a torus (and how it would look like, e.g. the positions of the legs, arm asf). My intuitive answer is yes, but since I'm not that deep into topology maybe I'm wrong. What do you people think (and if it is true, what could be an approach for creating a mapping between those spaces?)
 A: If we simplify the human body to only have the one opening where food goes in and one where food goes out, you can see why this would be homeomorphic to a torus. The "hole" is where the food goes through. If we look a little closer we notice this really is an oversimplification, you find a second hole where liquid food comes out and you might find many places where it depends on the definition of the "surface of the body" whether you want to count things as holes or not.
After all, looking at the surface of a food-processing creature as a torus is always a nice start to explain the difference between a sphere and a torus or even surfaces with higher genus at the topological level, since the geometry of the body doesn't look like a standard $2$-torus at all!
A: If we didn't have a nose (and wouldn't count the ears as holes), the human body would probably be homeomorphic to a torus. Although it also depends if you see the lung and the bladder as dead ends.
A: For a normal human male, discounting pores, we have $9$ holes. So our skin homeomorphic to a disk with 8 holes and has fundamental group the free group on 8 generators.
