I bet the rest of the world has better paper - eviltoast
  • UndercoverUlrikHD@programming.dev
    8·
    11 months ago

    Here you go, proof at ~2 min in.

    Edit: for those who don’t want to use YouTube anymore. If a is the long side and b is the short side of a rectangle. Halving the rectangle will make the long side b and the short side 1/2 a. If the ratio is preserved when halving, we get:

    a/b=b/(1/2 a)

    a2*=2*b2

    a2*/*b2=2

    a/b=sqrt(2)