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+size(500);
+import graph3;
+
+currentprojection=perspective(-5,-4,2);
+
+path3 g=randompath3(10);
+
+draw(g,red+thin());
+
+triple[][] P={
+ {(0,0,0),(1,0,0),(1,0,0),(2,0,0)},
+ {(0,4/3,0),(2/3,4/3,2),(4/3,4/3,2),(2,4/3,0)},
+ {(0,2/3,0),(2/3,2/3,0),(4/3,2/3,0),(2,2/3,0)},
+ {(0,2,0),(2/3,2,0),(4/3,2,0),(2,2,0)}};
+
+surface s=surface(patch(P));
+s.append(unitplane);
+
+draw(s,lightgray+opacity(0.9));
+dot(intersectionpoints(g,s),blue);