Simultaneous straight-line drawing of a planar graph and its rectangular\n dual

A natural way to represent on the plane both a planar graph and its dual is\nto follow the definition of the dual, thus, to place vertices inside their\ncorresponding primal faces, and to draw the dual edges so that they only cross\ntheir corresponding primal edges. The problem of constructing such drawings has\na long tradition when the drawings of both primal and dual are required to be\nstraight-line. We consider the same problem for a planar graph and its\nrectangular dual. We show that the rectangular dual can be resized to host a\nplanar straight-line drawing of its primal.\n