How technical is math?
FIXME: better title
striking to me that you can get from naive questions to serious math
in very few steps
EG, from "are rectangles squares?"
to "compactifications of moduli space"
making (regular) tetrahedra and counting angles --> Gauss-Bonnet
(and Euler number and Euler class)
number theory EG?
(quadratic formula -> Galois theory -> modular forms -> Langlands?)
some take-aways:
- can get to serious math if focus narrowly