Question Number 6825 by madscientist last updated on 30/Jul/16
$${is}\:{there}\:{a}\:{triple}\:{integral}\:{that}\:{equals} \\ $$$${to}\:{the}\:{golden}\:{ratio}\:\phi\:\mathrm{1}.\mathrm{618}? \\ $$$$ \\ $$$$ \\ $$
Answered by FilupSmith last updated on 30/Jul/16
$$\mathrm{There}\:\mathrm{is}\:\mathrm{an}\:\mathrm{infinite}\:\mathrm{amount}. \\ $$$$\mathrm{e}.\mathrm{g}. \\ $$$$\int_{\mathrm{0}} ^{\:{a}} \int_{\mathrm{0}} ^{\:{a}} \int_{\mathrm{0}} ^{\:{a}} {dx}\:{dy}\:{dz}\:=\:\phi \\ $$$$\mathrm{where}\:{a}=^{\mathrm{3}} \sqrt{\phi} \\ $$