Show surfaces in wireframe mode?

Questions
,
1

I am new to Mathematica and have not found a simple way to display surfaces in wireframe mode. They all show with faces filled in. Is there some property I can set in functions like ParametricPlot3D?

2

Something like this?

ParametricPlot3D[
{Cos[u], Sin[u] + Cos[v], Sin[v]}, {u, 0, 2 \[Pi]}, {v, -\[Pi], \[Pi]}, 
PlotStyle -> None, MeshFunctions -> {#3 &}]

sdfeaUntitled.png
sdfeaUntitled.png500×308 31.6 KB

3

Thanks, Vitaliy. I think PlotStyle/MeshFunctions are exactly what I was looking for. I actually also wanted vertical subdivision lines but I’ll play around with your suggestion.

4

What about this?

ParametricPlot3D[
 {Cos[u], Sin[u] + Cos[v], Sin[v]}, {u, 0, 
  2 \[Pi]}, {v, -\[Pi], \[Pi]},
 MeshStyle -> Thick,
 PlotStyle -> Opacity[0]]
5

Or is this better?

ParametricPlot3D[{Cos[u], Sin[u] + Cos[v], Sin[v]}, {u, 0, 2 \[Pi]}, {v, -\[Pi], \[Pi]}, 
 MeshStyle -> {{Thick, Red}, {Thick, Blue}}, PlotStyle -> Opacity[0]]
6
Open in Wolfram Cloud ↗
◔

Having fun with Mark k’s parametric plot also

Having trouble wit re posts and editing. here is an update

7

How about this:

ParametricPlot3D[{Cos[u], Sin[u] + Cos[v], Sin[v]}, {u, 0, 
  2 \[Pi]}, {v, -\[Pi], \[Pi]}, PlotStyle -> None, 
 MeshFunctions -> {#4 & , #5 & }, Mesh -> 50, Boxed -> False, 
 Axes -> False]