Fusing two 3-D surfaces

*To*: mathgroup at smc.vnet.net*Subject*: [mg120514] Fusing two 3-D surfaces*From*: Gilmar Rodriguez-pierluissi <peacenova at yahoo.com>*Date*: Wed, 27 Jul 2011 06:11:47 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

How can I "fuse" the following two 3-D surfaces, as a single 3-D surface? I need to join them where the downward funnel of plt1 meets the upward funnel of plt2; as a single 3-D surface. plt1= Plot3D[-1/(x^2 + y^2 + 0.5), {x, -2, 2}, {y, -5, 5}, PlotStyle -> Directive[Orange, Specularity[White, 40]], Boxed -> False, Axes -> False, Mesh -> False, ImageSize -> 500, ViewPoint -> {-22.197, 0.387, 11.0}] plt2 = ParametricPlot3D[{E^(v/(2 Sqrt[3])) Sqrt[u] Cos[1/2 (v - Sqrt[3] Log[u])], E^(v/(2 Sqrt[3])) Sqrt[u] Sin[1/2 (v - Sqrt[3] Log[u])], E^(-(v/Sqrt[3]))/u}, {u, .1, 5}, {v, -3, 3}, PlotStyle -> Directive[Orange, Specularity[White, 40]], Boxed -> False, Axes -> False, Mesh -> False , ViewPoint -> {-22.197, 0.387, 11.0}] Thank you for your help! Gilmar Rodriguez-Pierluissi