[math-fun] ortho-polygon

For those of you who are geometrically inclined, have you ever seen anything like, Problem. Given n lines a_1,a_2,. . ,a_n in the plane in general position, Construct a (actually, the) polygon with vertices A_1,A_2, . . ,A_n, where Vertex A_i lies on a_i, and Segment A_iA_(i+1) is perpendicular to a_(i+1) (mod n). dg