this post was submitted on 24 Oct 2024
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Or the spectrum is actually a donut
Fun fact: humans are geometrically a donut.
Not quite we are more like pants with 6(?) legs
I'm sure most people have more (topological) holes than one
Both nostrils, for example
The nostrils are connected to the throat through the sinuses as are the ear canals. Topologically making them all part of the same mouth-anus throughole.
Not true, topolgically the route
left nostril -> sinus -> right nostril
is another hole. So is
any nostril -> sinus -> mouth.
ears have the eardrum, so they don't count.
For the more formal definitions of topological holes, look up Betti numbers, I think there's a VSauce video about it? For humans, the number of holes is at least 3 (but I'm sure I'm missing many more holes). Unless you're missing the entire septum.
We just reinvented horse shoe theory