Equations of Infinity: Circle to Square

[shivakumar06]

we have a circle for x^2+y^2=a^2 around the origin. this bulges for x^4+y^4=a^4 this go on for x^n+y^n=a^n as n -> tends to infinity. it actually splits to becomes x=a , x= -a , y= a, y=b which form a square around the origin

 

[mathman]

n must be even.