Student: “Hey, a shortcut! Let me first just walk around the long way so I can measure the length of the other two sides, multiply those lengths by themselves, add them together, and find out how much extra walking I’ve saved myself by taking the shortcut. Boy, this shortcut sure is saving me a lot of effort. Hooray Pythagoras!”
Just because you do something so crazy fast in your head it seems obvious, doesn’t mean you didn’t do the thing you did with the thing.
There’s a college in Chicago, i think it’s IIT maybe, that used aerial photography to map out the student cow paths, then they redid all the sidewalks to incorporate those paths.
Edit: they ended up adding a building in a grassy area and maintained all the hall/walkways of the building in line with the sidewalks/cowpaths. Kinda neat.
Ohio State University
I wish I was taught about the usefulness of maths growing up. When I did A-level with differentition and integration I quickly forgot as I didn’t see a point in it.
At about 35 someone mentioned diff and int are useful for loan repayment calculations, savings and mortgages.
Blew my fucking mind cos those are useful!
One of my favourite names for anything is these being called ‘desire lines’. It’s so whimsical.