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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);
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