One of the best-known results in turtle geometry is that drawing any closed path results in you turning exactly (a multiple of) 360 degrees, the Total Turtle Tr

One of the best-known results in turtle geometry is that drawing any closed path results in you turning exactly (a multiple of) 360 degrees, the Total Turtle Trip Theorem. You get into calculus by considering a circle to be the limit of `forward 1 right :n' as n approaches 0. This all is well stated in an AI memo by Seymour Papert, `Teaching Children About Mathematics vs Teaching Children To Be Mathematicians'. In another universe, this might have all radically changed math (and other areas of) education. Alas, that is not this universe.