2
$\begingroup$

The mesh of level curves on ParametricPlot3D[] does not work for some functions. For many functions it works normally, e.g.:

ParametricPlot3D[{r*Cos[p],r*Sin[p],r},{r,0,2},{p,0,2Pi},MeshFunctions->{(#3&)}]

enter image description here

But whenever the inverse occurs, the mesh disappears

ParametricPlot3D[{r*Cos[p],r*Sin[p],1/r},{r,0,2},{p,0,2 Pi},MeshFunctions->{(#3&)}]

enter image description here

It seems that this issue is due to a bug (version 13.0). Do you have any idea how to work around it?

Improve this question
$\endgroup$

1 Answer 1

Reset to default
4
$\begingroup$

Specify the levels using the option Mesh:

ParametricPlot3D[{r*Cos[p], r*Sin[p], 1/r}, {r, 0, 1}, {p, 0, 2 Pi}, 
 MeshFunctions -> {#3 &}, 
 Mesh -> {Subdivide[0, 15, 50]}, 
 BoxRatios -> 1]

enter image description here

Improve this answer
$\endgroup$
1
  • $\begingroup$ Thanks. It seems to be working as needed. Apparently, we had to "force" the drawing of these lines because the automaton failed. $\endgroup$
    – Druid
    Commented Jan 1, 2022 at 21:02

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge you have read our privacy policy.

Not the answer you're looking for? Browse other questions tagged or ask your own question.