You should read http://tauday.com/tau-manifesto#sec-getting_to_the_bottom_of_pi http://tauday.com/tau-manifesto#sec-getting_to_the_bottom_of... which goes int

You should read http://tauday.com/tau-manifesto#sec-getting_to_the_bottom_of_pi http://tauday.com/tau-manifesto#sec-getting_to_the_bottom_of... which goes into great detail on surface areas and volumes of hyperspheres. Spoiler alert: it's actually pi/2 = tau/4 that emerges victorious.