https://phys.org/news/2020-01-math-teacher-plea-pi-irrational.html Where a young student is implicitly denounced as stupid for using python to compute a curve that the math teacher can easily prove circular. I am guessing that the student's real "mistake" was using floating point numbers instead of rationals or arbitrary precision, but the article doesn't say. The student doesn't need derision from the teacher, but might be well-served with an explanation of machine epsilon, and also with pointers to python calculations using fractions: https://docs.python.org/2/library/fractions.html https://www.tutorialspoint.com/python-rational-numbers-fractions The student can search for rational configurations by any expedient algorithm. Eventually, arbitrarily-large sets of high-quality data can be derived, without ever mentioning congruent triangles. The teacher should complement the student's data set, and ask them to keep refining their analysis of the data. This sort of development can and will lead to a correct proof. There's nothing else I can do, except to reject this author's plea to "keep pi an irrational number". I look forward to the next generation of creative scientists, who will undoubtedly continue to find value in thinking of pi as something other than just "an irrational number". -- Brad