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RE: Curious Mathematics: Hedgehogs, why cyclones exist and why 3-dimensional humans can't have nice hair
Well you could argue that it is just a corollary of the Poincaré-Hopf theorem, but I would not consider that the easiest proof. Correspondingly there are several approaches but you don't absolutely have to introduce simplicial complexes. ^^
Lengthy image sources are in the list at the bottom 👍
Nice links, by the way. I did not know "Uncyclopedia" before, although there is a conceptually similar page called "Stupidedia" in Germany :D
I think you misunderstand me. The note part in my reply is a note. My claim is that the simplest way to explain it is using the Euler formula and then show that graphs generate vector fields. All of this can be explained visually.
You don't need Poincare-Hopf, simplices etc. but they connect nicely to the previous method.