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+size(200);
+import solids;
+
+currentprojection=perspective(4,4,3);
+revolution hyperboloid=revolution(graph(new triple(real z) {
+ return (sqrt(1+z*z),0,z);},-2,2,20,operator ..),axis=Z);
+draw(surface(hyperboloid),green,render(compression=Low,merge=true));
+draw(hyperboloid,6,blue,longitudinalpen=nullpen);