i think what makes phi and pi so special is the fact that there is know true end to those fractions. endless growth. like fractals.
if someone were to just breaze over the concept it would make no big impression on them. but if you think about it in detail it opens up endless questions.
being that it is a fraction you would think somewhere at the long end of numbers, there would be a single number, that the chain would stop somewhere but even with powerful computers they cant find an end, just an stream of numbers with no apperant end.
even though i cant put it into words really and i used to hate math, i think some of the biggest questions and answers are in it.
so i leave you a quote from a modest mouse song i enjoy:
God is a woman and the woman is
An animal that animals man, and that's you
Was there a need for creation?
That was hiden in a math equation
And that's this:
WHERE DO CIRCLES BEGIN?
