That's fair to say. Rational angles happen to make things easy and result in a problem which has connections with lots of well-developed areas of mathematics.

That's fair to say. Rational angles happen to make things easy and result in a problem which has connections with lots of well-developed areas of mathematics. This paper https://www.math.brown.edu/~res/Papers/intel.pdf https://www.math.brown.edu/~res/Papers/intel.pdf is mentioned in one of the Numberphile videos on the topic and it basically says this in the introduction.