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import contour;
import palette;
import graph3;
defaultrender.merge=true;
currentprojection=orthographic(25,10,10);
size(0,12cm);
real a=3;
real b=4;
real f(pair z) {return (z.x+z.y)/(2+cos(z.x)*sin(z.y));}
guide[][] g=contour(f,(-10,-10),(10,10),new real[]{8},150);
for(guide p:g[0]){
draw(extrude(p,8Z),palered);
draw(path3(p),red+2pt);
}
draw(lift(f,g),red+2pt);
surface s=surface(f,(0,0),(10,10),20,Spline);
s.colors(palette(s.map(zpart),Rainbow()+opacity(0.5)));
draw(s);
axes3("$x$","$y$","$z$",Arrow3);
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