Re: if only on parameter of 2D is to be shown in 3D

• To: mathgroup at smc.vnet.net
• Subject: [mg102842] Re: [mg102843] if only on parameter of 2D is to be shown in 3D
• From: Bob Hanlon <hanlonr at cox.net>
• Date: Sun, 30 Aug 2009 06:05:41 -0400 (EDT)

```Not sure that I know what you want. This may help

Manipulate[
Show[{
Table[
ParametricPlot3D[
{u + v^2, u^2 - v, v*u}, {v, -2, 2},
PlotStyle ->
Directive[AbsoluteThickness[tu], Blue]],
{u, -2, 2, du}],
Table[
ParametricPlot3D[
{u + v^2, u^2 - v, v*u}, {u, -2, 2},
PlotStyle ->
Directive[AbsoluteThickness[tv], Red]],
{v, -2, 2, dv}]},
PlotRange ->
{{-2, 6}, {-2, 6}, {-4, 4}}],
{{du, 0.125}, 0.05, 0.40, 0.05,
Appearance -> "Labeled"},
{{tu, Medium, "Thickness"}, {Medium, Large}},
{{dv, 0.125}, 0.05, 0.40, 0.05,
Appearance -> "Labeled"},
{{tv, Medium, "Thickness"}, {Medium, Large}}]

Bob Hanlon

---- Narasimham <mathma18 at hotmail.com> wrote:

=============
Is it possible to see only a one parameter family ( either u or v ) of
lines drawn in
ParametricPlot3D [ {u + v^2, u^2 - v, v* u }, {u, -2, 2}, {v, -2, 2}]