RE: ParametricPlot2D

*To*: mathgroup at smc.vnet.net*Subject*: [mg46806] RE: [mg46790] ParametricPlot2D*From*: "David Park" <djmp at earthlink.net>*Date*: Tue, 9 Mar 2004 04:30:49 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Easy with DrawGraphics from my web site below. Needs["DrawGraphics`DrawingMaster`"] First we draw the 3D surface with z==0 and convert the Polygons to 2D polygons. surface = ParametricDraw3D[{u - v^2, u v, 0}, {u, -1, 1}, {v, -1, 1}] /. {x_?NumberQ, y_?NumberQ, _?NumberQ} -> {x, y}; Then we draw the resulting surface in 2D. Mathematica outlines Polygons in 3D but does not outline them in 2D. The DrawGraphics routine PolygonOutline will add the edges. I used LightGray so the edges would be subdued. Draw2D[ {LightBlue, surface, surface // PolygonOutline[LightGray]}, Frame -> True, PlotLabel -> "Parametric 2D Area", Background -> Linen, ImageSize -> 350]; David Park djmp at earthlink.net http://home.earthlink.net/~djmp/ From: Narasimham G.L. [mailto:mathma18 at hotmail.com] To: mathgroup at smc.vnet.net Is it possible to plot like :) ParametricPlot2D {x,y}=f(u,v), where u,v are two parameters? At present, I am plotting by setting z=0 in a 3D plot e.g., ParametricPlot3D[{u-v^2,u v,0},{u,-1,1},{v,-1,1},ViewPoint->{0,0,4}] ; But it adds colour to the domain that would have become a surface in 3D had z been non-zero. Actually I like to see clean plots, no matter if there are self-intersections.What is the simplest plot command recommended in such cases?