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import graph3;
currentprojection=orthographic(5,4,2);
size(12cm,0);
real f(pair z) {return min(sqrt(1-z.x^2),sqrt(1-z.y^2));}
surface s=surface(f,(0,0),(1,1),40,Spline);
transform3 t=rotate(90,O,Z), t2=t*t, t3=t2*t, i=xscale3(-1)*zscale3(-1);
draw(surface(s,t*s,t2*s,t3*s,i*s,i*t*s,i*t2*s,i*t3*s),blue,render(merge=true));
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