Hello I have experience writing texts in latex, but I am a beginner in drawing in latex, I have tried to make these graphics with great effort but I have not succeeded.

enter image description here

enter image description here enter image description here



\def \plotwidth {510.0pt}



    axis equal,
    axis lines=center,
    \addplot3[surf, opacity=0.5, samples=30, domain=-1:1, y domain=0:2*pi, z buffer=sort] ({sqrt(1-x^2) * cos(deg(y))}, {sqrt( 1-x^2 ) * sin(deg(y))}, x);

output: enter image description here

I'm sorry for all the inconvenience, I'm just a beginner. I try to make those graphics in RGB={0,153,216}. Thank you very much for all kinds of help, on the other hand if someone knows a book in Portuguese or Spanish to learn how to graph in latex I would appreciate it very much.

  • 2
    Welcome to TeX.SE!
    – Mensch
    Oct 5, 2021 at 23:13
  • I think you should provide more info on Chebyshev net in the Sphere and Catenary, such as formula, or at least some references.
    – Black Mild
    Oct 7, 2021 at 15:07
  • 1
    @BlackMild You're right, I already put it in the same question. Thanks for the observation.
    – Zaragosa
    Oct 7, 2021 at 15:42
  • Obviously, Chebyshev nets is a topic of higher maths. To draw that nets, one has to get some math background (note this is a tex, not math, forum). IMHO, infos that you provide is still not enough to figure/draw out. Do you know exactly the (parameter) equations of these Chebyshev nets ? Consequently, even people with good drawing skills feel difficult to help you. PS: I guess there are a few of people with curious mind (including me ^^) still will try helping when they have long enough free time.
    – Black Mild
    Oct 14, 2021 at 6:31
  • @BlackMild You are very right, I am going to try to get the equations that define them. In principle it would be to graph a PDE, but I will do the calculations to make it explicit.
    – Zaragosa
    Oct 15, 2021 at 6:58

1 Answer 1


This looks like the sphere you gave. But I am pretty sure that this is not a net with equal side lengths.

Perhaps you can point us to a reference with a proper parametrization. The ones I found using google are all in French.

    \def\r{10} % radius
    \begin{axis}[height=20cm, view/h=45, axis equal, axis lines=center]
            samples=20, domain=-60:60, unbounded coords=jump,
            surf, opacity=.7, z buffer=sort,
            pre filter/.code={
                \edef\u{\pgfplots@current@point@x@unfiltered} % parametric plot's #1
                \edef\v{\pgfplots@current@point@y@unfiltered} % parametric plot's #2
                \mdef\theta{\u + \v} % azimuth
                \mdef\phi{\u - \v} % elevation
                \mdef\TooCloseToPole{ \phi > 85 ? 1 : (\phi < -85) ? 1 : 0 }
                    \mdef\pgfplots@current@point@x{\r * \cosphi * cos(\theta)}
                    \mdef\pgfplots@current@point@y{\r * \cosphi * sin(\theta)}
                    \mdef\pgfplots@current@point@z{\r * sin(\phi)}
        (\x, \y, 0);

a net that is 45 degree away from being the usual parametrization of sphere

  • Thank you very much, you are right, it looks similar but it succeeds if we enlarge the entire sphere. I tried to do it in Mathematica 12, but it didn't work out. I found this (it's in English): cermics.enpc.fr/~massony/slides_defense.pdf
    – Zaragosa
    Oct 10, 2021 at 7:06

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