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

Hi Bob,

Thanks. I wish to be able to see either the red lines or the blue
lines, but not both of them together showing small surface cells. Each
surface element should appear with very long aspect ratio, as
rectangles, but never mind.

After the above, opaque surface is required to be shown, usually as in
default Option .

Regards
Narasimham

----
Hi Bob,

I did not want to  watch parameter increments, but suppression of
either u or v lines in each display.

With your full  indicating several variations to pick out from, I got
it right here:

For u lines,

UU = Show[ Table[ParametricPlot3D[{u + v, u - v, v*u}, {v, -4, 2},
PlotStyle -> Directive[Blue]], {u, -2, 4, .2}]]

If v lines are needed,

VV = Show[ Table[ParametricPlot3D[{u + v, u - v, v*u}, {u, -4,
2},      PlotStyle -> Directive[Red]], {v, -2, 4, .2}]]

Show[UU, VV] ,  if both are to be seen in different colors.

Now remains only the requirement for showing opaque shaded surface
option.

Thanks  again,

Narasimham

to suppress the lines just use the Mesh option.

Row[ParametricPlot3D[{u + v, u - v, v*u},
    {u, -4, 4}, {v, -4, 4},
    ImageSize -> 200,
    Mesh -> #] & /@
  {Full, {15, 0}, {0, 15}}]


Bob Hanlon




=============


----
Hi Bob,

I did not want to  watch parameter increments, but suppression of
either u or v lines in each display.

With your full  indicating several variations to pick out from, I got
it right here:

For u lines,

UU = Show[ Table[ParametricPlot3D[{u + v, u - v, v*u}, {v, -4, 2},
PlotStyle -> Directive[Blue]], {u, -2, 4, .2}]]

If v lines are needed,

VV = Show[ Table[ParametricPlot3D[{u + v, u - v, v*u}, {u, -4,
2},      PlotStyle -> Directive[Red]], {v, -2, 4, .2}]]

Show[UU, VV] ,  if both are to be seen in different colors.

Now remains only the requirement for showing opaque shaded surface
option.

Thanks  again,

Narasimham